Adding, Subtracting, Multiplying and Dividing Negative Numbers

Adding and subtracting negative numbers.

To add and subtract negative numbers we can use a number line. When we add we move to the right and when we subtract we move to the left.

negative numbers maths mansion

Example 1: -3 + 5

The first number is the starting point. We start at -3. We are adding so we are moving to the right. We move 5 spaces to the right. -3 + 5 = 2

negative numbers maths mansion

Example 2: -2 - 6

The first number is the starting point. We start at -2. We are subtracting so we are moving to the left. We move 6 spaces to the left. -2 - 6 = -8

negative numbers maths mansion

Example 3: -4 + -5

The first number is the starting point. We start at -4. We are adding so we are moving to the right. We move -5 spaces to the right (this means we move 5 spaces to the left) -4 + -5 = -9

negative numbers maths mansion

Example 4: 2 - -5

The first number is the starting point. We start at 2. We are subtracting so we are moving to the left. We move -5 spaces to the left (this means we move 5 spaces to the right) 2 - -5 = 7

negative numbers maths mansion

Multiplying and Dividing Negative Numbers

When we multiply negative numbers we use the rules: Positive × Positive = Positive Positive × Negative = Negative Negative × Positive = Negative Negative × Negative = Positive

The rules for multiplying and dividing negative numbers are the same: Positive ÷ Positive = Positive Positive ÷ Negative = Negative Negative ÷ Positive = Negative Negative ÷ Negative = Positive

Example 5: -6 × 2

6 × 2 = 12 Negative × Positive = Negative -6 × 2 = -12

Example 6: 7 × -5

7 × 5 = 35 Positive × Negative = Negative 7 × -5 = -35

Example 7: -9 × -4

9 × 4 = 36 Negative × Negative = Positive. -9 × -4 = 36

Negative Numbers

A negative number is a number whose value is always less than zero and it has a minus (-) sign before it. On a number line, negative numbers are represented on the left side of zero. For example, -6 and -15 are negative numbers. Let us learn more about negative numbers in this lesson.

What are Negative Numbers?

Negative numbers are numbers that have a minus sign as a prefix. They can be integers, decimals, or fractions. For example, -4, -15, -4/5, -0.5 are termed as negative numbers. Observe the figure given below which shows how negative numbers are placed on a number line .

Negative Numbers on a number line

Negative Integers

Negative integers are numbers that have a value less than zero. They do not include fractions or decimals. For example, -7, -10 are negative integers.

Rules for Negative Numbers

When the basic operations of addition, subtraction , multiplication, and division are performed on negative numbers, they follow a certain set of rules.

  • The sum of two negative numbers is a negative number. For example, -5 + (-1) = -6
  • The sum of a positive number and a negative number is the difference between two numbers. The sign of the bigger absolute value is placed before the result. For example, -9 + 3 = -6
  • The product of a negative number and a positive number is a negative number. For example, -9 × 2 = -18
  • The product of two negative numbers is a positive number. For example, -6 × -3 =18
  • While dividing negative numbers, if the signs are the same, the result is positive. For example, -56 ÷ -7 = 8
  • While dividing negative numbers, if the signs are different, the result is negative. For example, -32 ÷ 4 = -8

Adding and Subtracting Negative Numbers

For adding and subtracting negative numbers, we need to remember the following rules.

Addition of Negative Numbers

Case 1: When a negative number is added to a negative number, we add the numbers and use the negative sign in the answer. For example, -7 + (- 4) = -7 - 4 = -11. In other words, the sum of two negative numbers always results in a negative number.

This can be understood with the help of a number line. The number line rule says, " To add a negative number we move to the left on the number line ". Therefore, observe the following number line, and apply the rule on -7 + (- 4). We can see that when we start from -7 and move 4 numbers to the left, it brings us to -11.

Addition of negative numbers

Case 2: When a positive number is added to a negative number, we find their difference and use the sign of the larger absolute value in the answer. For example, -9 + (5) ⇒ - 4. Since we are using the sign of the greater absolute value, the answer is -4.

This can be understood better with the help of a number line. The number line rule says, " To add a positive number we move to the right on the number line ". Observe the following number line and apply the rule on -9 + (+5). We start from -9 and move 5 numbers to the right that brings us to -4.

Addition of negative numbers

Subtraction of Negative Numbers

The subtraction of negative numbers is similar to addition. We just need to remember a rule which says:

Rule of Subtraction: Change the operation from subtraction to addition, and change the sign of the second number that follows.

Case 1: When we need to subtract a positive number from a positive number, we follow the subtraction rule given above. For example, 5 - (+6) becomes 5 + (-6) = 5 - 6 = -1.

Now, if we apply the rule of the number line on 5 + (-6), to add a negative number, we move to the left. Therefore, we start with 5 and move 6 numbers to the left, which brings us to -1.

Subtraction of Negative Numbers

Case 2: When we need to subtract a positive number from a negative number, we will follow the same rule of subtraction which says:

For example, -3 - (+1), will become -3 + (-1). This can be simplified as -3 -1 = -4.

Now, if we apply the rule of the number line on -3 + (-1), to add a negative number we move to the left. Therefore, we start with -3 and move 1 number to the left, which brings us to -4.

Subtraction of Negative Numbers

Case 3: When we need to subtract a negative number from a negative number, we will follow the rule of subtraction:

For example, -9 - (-12) ⇒ -9 + 12 = 3. Here, 12 becomes positive. We use the sign of the bigger absolute value that is 12 and the answer is 3.

Multiplication and Division of Negative Numbers

There are two basic rules related to the multiplication and division of negative numbers.

Multiplying Positive and Negative Numbers

  • Rule 1: When the signs of the numbers are different, the result is negative. (-) × (+) = (-). In other words, when we multiply a negative number with a positive number, the product is always negative. For example, -3 × 6 = -18.
  • Rule 2: When the signs of the numbers are the same, the result is positive. (-) × (-) = (+); (+) × (+) = (+). In other words, when we multiply two negative or two positive numbers, the product is always positive. For example, -3 × - 6 = 18.

Dividing Positive and Negative Numbers

  • Rule 1: When we divide a negative number by a positive number, the result is always negative. (-) ÷ (+) = (-). For example, (-36) ÷ (4) = -9
  • Rule 2: When we divide a negative number by a negative number, the result is always positive. (-) ÷ (-) = (+) For example, (-24) ÷ (-4) = 6

Negative Integers With Exponents

There are two basic rules related to negative integers with exponents:

  • If a negative integer has an even number in the exponent, then the final product will always be a positive integer. For example, -4 6 = -4 × -4 × -4 × -4 × -4 × -4 = 4096
  • If a negative integer has an odd number in the exponent, then the final product will always be a negative integer. For example, -9 3 = -9 × -9 × -9 = -729

☛ Related Topics

  • Positive Rational Numbers
  • Natural Numbers
  • Whole Numbers
  • Real Numbers
  • Rational Numbers
  • Irrational Numbers
  • Counting Numbers

Negative Numbers Examples

Example 1: Add the given negative numbers.

a.) -45 and -78

b.) -90 and -67

a.) Since both -45 and -78 are negative numbers, we will add the negative integers and place a negative sign before the sum.

45 + 78 = 123

Now, we will place a minus sign before the sum. Thus, the answer is -123.

b.) To add -90 and -67, we will add the negative numbers and place a negative sign before the sum.

90 + 67 = 157

Now, we will place a minus sign before the sum. Thus, the answer is -157.

Example 2: Subtract the given negative integers: Subtract -5 from -8

When we need to subtract a negative number from a negative number, we will follow the rule of subtraction, ' Change the operation from subtraction to addition, and change the sign of the second number that follows.'

In this case, -8 - (-5) ⇒ -8 + 5 = -3.

Example 3: Simplify the negative integers:

a.) (-3) × (-2)

b.) -24 ÷ -3

a.) To multiply (-3) × (-2), we will multiply the given negative numbers and the sign of the product will be positive. Therefore, in this case, the product of (-3) × (-2) = 6

b.) In order to divide the negative numbers, (-24) ÷ (-3), we will divide them and the sign of the answer will be positive. In this case, (-24) ÷ (-3) = 8

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Practice Questions on Negative Numbers

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FAQs on Negative Numbers

What are negative numbers in math.

A negative number is a number whose value is always less than zero and it has a minus (-) sign before it. On a number line , negative numbers are shown to the left of zero. For example, - 2, - 3, - 4, - 5 are called negative numbers.

What are the Rules for Negative Numbers?

When the basic operations of addition , subtraction, multiplication , and division are performed on negative numbers, they follow a certain set of rules.

  • The sum of two negative numbers is a negative number. For example, -3 + (-1) = -4
  • The sum of a positive number and a negative number is the difference between the two numbers. The sign of the bigger absolute value is placed before the result. For example, -6 + 3 = -3
  • The product of a negative number and a positive number is always a negative number. For example, -5 × 2 = -10
  • The product of two negative numbers is a positive number. For example, -5 × -3 =15
  • While dividing negative numbers, if the signs are the same, the result is positive. For example, (-28) ÷ (-7) = 4
  • While dividing negative numbers, if the signs are different, the result is negative. For example, (-21) ÷ (3) = -7

What is the Sum of Two Negative Numbers?

The sum of two negative numbers is always a negative number. For example, (-7) + (-2) = -9

What are Negative Numbers used for?

There are situations in real life where we use numbers that are less than zero. Negative numbers are used to measure temperature. For example, the lowest possible temperature is absolute zero which is expressed as -273.15°C on the Celsius scale, and -459.67°F on the Fahrenheit scale. Negative numbers are also used to measure the geographical locations that are below the sea level and which are expressed in negative integers like -100 ft Mean Sea Level.

How to Multiply Negative Numbers?

There are two basic rules related to the multiplication of negative numbers.

  • Rule 1: When the signs of the numbers are different, the result is negative. In other words, when we multiply a negative number with a positive number, the product is always negative. For example, -2 × 6 = -12.
  • Rule 2: When the signs of the numbers are the same, the result is positive. In other words, when we multiply two negative or two positive numbers, the product is always positive. For example, -4 × - 6 = 24.

How to Divide Negative Numbers?

The rules that are applied for the multiplication of numbers are also used in the division of negative numbers.

  • Rule 1: When the signs of the numbers are different, the result is negative. In other words, when we divide a negative number with a positive number, the answer is always negative. For example, -12 ÷ 3 = -4.
  • Rule 2: When the signs of the numbers are the same, the result is positive. In other words, when we divide two negative numbers or two positive numbers, the answer is always positive. For example, -14 ÷ - 2 = 7.

What is the Difference Between Negative Integers and Positive Integers?

The main difference between negative integers and positive integers is that negative integers have a value less than zero and positive integers have a value greater than zero. It should be noted that zero is neither a positive integer nor a negative integer.

How do you Add Two Negative Integers?

Adding two negative integers together is easy because we just add the given numbers and then place a negative sign in front of the sum. For example, (-2) + (-5) = -7

What are the Rules For Subtracting Negative Numbers?

There is a basic rule for subtracting negative numbers. "Change the operation from subtraction to addition, and change the sign of the second number that follows". For example, let us subtract -2 - (-5). In this case, we change the operation from subtraction to addition and change the sign of (-5) to (+5). This makes it -2 + (+5) = -2 + 5 = 3.

How to Subtract Negative Numbers?

When we subtract negative numbers, we just need to remember a rule which says: Change the operation from subtraction to addition, and change the sign of the second number that follows. Now, let us apply this rule, for example, subtract 5 from -8. This means -8 - (5). After applying the rule, -8 - (5) becomes -8 + (-5) = -13.

How to Add and Subtract Positive and Negative Numbers

Numbers can be positive or negative.

This is the Number Line :

No Sign Means Positive

If a number has no sign it usually means that it is a positive number.

Example: 5 is really +5

Play with it!

On the Number Line positive goes to the right and negative to the left.

Try the sliders below and see what happens:

Balloons and Weights

Let us think about numbers as balloons (positive) and weights (negative):

This basket has balloons and weights tied to it:

  • The balloons pull up ( positive )
  • And the weights drag down ( negative )

Adding a Positive Number

Adding positive numbers is just simple addition.

We can add balloons (we are adding positive value)

the basket gets pulled upwards (positive)

Example: 2 + 3 = 5

is really saying

"Positive 2 plus Positive 3 equals Positive 5"

We could write it as (+2) + (+3) = (+5)

Subtracting A Positive Number

Subtracting positive numbers is just simple subtraction.

We can take away balloons (we are subtracting positive value)

the basket gets pulled downwards (negative)

Example: 6 − 3 = 3

"Positive 6 minus Positive 3 equals Positive 3"

We could write it as (+6) − (+3) = (+3)

Adding A Negative Number

Now let's see what adding and subtracting negative numbers looks like:

We can add weights (we are adding negative values)

Example: 6 + (−3) = 3

"Positive 6 plus Negative 3 equals Positive 3"

We could write it as (+6) + (−3) = (+3)

The last two examples showed us that taking away balloons (subtracting a positive) or adding weights (adding a negative) both make the basket go down.

So these have the same result :

  • (+6) − (+3) = (+3)
  • (+6) + (−3) = (+3)

In other words subtracting a positive is the same as adding a negative .

Subtracting A Negative Number

Lastly, we can take away weights (we are subtracting negative values)

Example: What is 6 − (−3) ?

6−(−3) = 6 + 3 = 9

Yes indeed! Subtracting a Negative is the same as adding!

Two Negatives make a Positive

What Did We Find?

Adding a positive number is simple addition ..., positive and negative together ..., example: what is 6 − (+3) .

6−(+3) = 6 − 3 = 3

Example: What is 5 + (−7) ?

5+(−7) = 5 − 7 = −2

Subtracting a negative ...

Example: what is 14 − (−4) .

14−(−4) = 14 + 4 = 18

It can all be put into two rules :

They are "like signs" when they are like each other (in other words: the same).

So, all you have to remember is:

Two like signs become a positive sign

Two unlike signs become a negative sign

Example: What is 5+(−2) ?

+(−) are unlike signs (they are not the same), so they become a negative sign .

5+(−2) = 5 − 2 = 3

Example: What is 25−(−4) ?

−(−) are like signs, so they become a positive sign .

25−(−4) = 25+4 = 29

Starting Negative

What if we start with a negative number?

Using The Number Line can help:

Example: What is −3+(+2) ?

+(+) are like signs, so they become a positive sign .

−3+(+2) = −3 + 2

−3+(+2) = −3 + 2 = −1

Example: What is −3+(−2) ?

+(−) are unlike signs, so they become a negative sign .

−3+(−2) = −3 − 2

−3+(−2) = −3 − 2 = −5

Now Play With It!

A common sense explanation.

And there is a "common sense" explanation:

If I say "Eat!" I am encouraging you to eat (positive)

If I say "Do not eat!" I am saying the opposite (negative).

Now if I say "Do NOT not eat!", I am saying I don't want you to starve, so I am back to saying "Eat!" (positive).

So, two negatives make a positive, and if that satisfies you, then you are done!

Another Common Sense Explanation

A friend is + , an enemy is −

A Bank Example

Example: last year the bank subtracted $10 from your account by mistake, and they want to fix it..

So the bank must take away a negative $10 .

Let's say your current balance is $80, so you will then have:

$80−(−$10) = $80 + $10 = $90

So you get $10 more in your account.

A Long Example You Might Like

Ally's points.

alexa

Ally can be naughty or nice. So Ally's parents have said

"If you are nice we will add 3 points (+3). If you are naughty, we take away 3 points (−3). When you reach 30 Points you get a toy."

So when we subtract a negative, we gain points (i.e. the same as adding points).

See: both " 15 − (+3) " and " 15 + (−3) " result in 12.

It doesn't matter if you subtract positive points or add negative points, you still end up losing points.

Try These Exercises ...

Now try This Worksheet , and see how you go.

And also try these questions:

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Negative Numbers

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Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

negative numbers maths mansion

Negative Dice

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

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Negative Numbers Worksheet Hub Page

Welcome to our Negative Numbers Worksheets hub page.

On this page, you will find links to all of our worksheets and resources about negative numbers.

Need help practicing adding, subtracting, multiplying or dividing negative numbers?

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  • This page contains links to other Math webpages where you will find a range of activities and resources.
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Negative Numbers Worksheet

We have a wide range of negative number resources to help you understand and use negative numbers.

Here are the following resources we currently have on our site:

  • What are Negative Numbers

Negative Number Lines

  • Comparing Negative Numbers

Adding Negative Numbers

Subtracting negative numbers.

  • Mutiplying Negative Numbers

Dividing Negative Numbers

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  • Absolute Value Worksheets

What are Negative Numbers?

Negative numbers are numbers with a value of less than zero.

They can be fractions, decimals, rational and irrational numbers.

-13, -½ , -√2, -6.4 and -123 are all negative numbers.

We have a page dedicated to learning about negative numbers below.

what are negative numbers image

We have a selection of number lines, both filled and blank that have been designed to support learning and understanding with negative numbers.

One of our pages contains just negative number lines, the other page contains both positive and negative numbers.

  • Number Lines with Negative and Positive Numbers
  • Number Line Negative Numbers only

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Comparing negative numbers

How to compare negative numbers

When you are comparing with negative numbers, everything swaps around and becomes a little more complicated!

With negative numbers, the more negative the number is, the lower its value.

As you go right along the number line, the values are increasing.

As you go left along the number line, the values are decreasing.

This means that any positive number (or even zero) will always be greater than any negative number.

  • 0 > -3 this means 0 is greater than -3
  • -8 < -5 this means -8 is less than -5
  • -27 > -30 this means -27 is greater than -30
  • -26 < 2 this means -26 is less than 2
  • Ordering Negative Numbers -10 to 10

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Adding & Subtracting Negative Numbers

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Take a look at our collection of negative numbers games.

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  • counting backwards along a number line (easiest)
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Negative numbers (directed number). GCSE Maths Past Paper Questions.

Negative numbers (directed number). GCSE Maths Past Paper Questions.

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

KennethStafford.co.uk

Last updated

16 February 2024

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negative numbers maths mansion

Please review if you find this resource helpful. It does encourage me to upload more.

This resource contains all of the negative numbers (directed number) questions that have come up in the Edexcel GCSE maths papers to date (Autumn 2021), arranged as a printable worksheet.

There is also reference to which paper each question came up on.

The full solutions are also included (please let me know if you spot any mistakes).

Please do leave a review if you find this useful and do let me know if you spot any mistakes.

Please do not rebrand or pass off as your own work.

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In 2018, after visiting Suzdal I visited Vladimir, which was the capital of Russia from the mid-1100s to the early 1200s, when it was sacked by the Mongols and never fully recovered its importance (Moscow took over). Like Suzdal, Vladimir is one of the cities in the Golden Ring. Unlike Suzdal, Vladimir is a real city.

negative numbers maths mansion

The bus terminal also sold an array of useful products, like the cologne "Sasha" and C3PO-sponsored "Durasell" batteries.

negative numbers maths mansion

In the center of Vladimir, one of its most important monuments is the "Golden Gate" shown below. It used to serve as a gate to access the city, which of course by now has grown completely around it. The current version is a reconstruction. The original gate was replaced in 1795 after being deemed to be in too poor a condition to maintain.

negative numbers maths mansion

Close to the Golden Gate is the Trinity Church, which was constructed right before the Russian Revolution. Next to the church, workers are building what looks like a fountain.

negative numbers maths mansion

Up a street from the Golden Gate is the following old water tower, which has an observation deck on the top and houses a historical museum about Vladimir below that: the photo is from 1880 and the carvings with moveable pieces on the inside were made from a single piece of wood.

negative numbers maths mansion

Near the water tower I saw the following well-dressed local on the left in a cafe. On the right, a family is carrying blue bags from Vladimir Zhirinovsky's political party. Someone was running around giving out these free bags of party swag (must have been some election coming up). He approached me and I made it clear I had zero interest.

negative numbers maths mansion

On Bolshaya Moskovskaya ("Big Moscow") street is a tobacco store named after Sherlock Holmes.

negative numbers maths mansion

Off that street is a Museum of the Spoon. Its entrance is the door in the first photo below. Note the blind person eyeglass symbol, and below that a button for people in a wheelchair to be let in. It is admirable for the museum to make itself accessible to the handicapped, but if they were really committed to this they should find a better location: the museum is down a steep and bumpy asphalt road that even able-bodied people need to walk along carefully! A better view of the road than what I show in the photo is at Google maps here .

According to the museum's website (in Russian), it opened in 2015 and has the biggest spoon collection in Russia. The second photo below has a spoon with a hole in it; this is what you use if you are on a diet. A lot of the spoons in this small museum are part of spoon collections that different companies once sold. If your grandmother ever got spoons from the Franklin Mint, there is probably a copy of them here.

negative numbers maths mansion

At the Soho Pub Steakhouse (that's Soho as in London, not New York), the menu shows where all the parts of a steak come from: sirloin, flank, and so on. I knew what part of a cow a rib steak comes from, but some of the other information was new to me.

negative numbers maths mansion

In a park where artists could sell their work, one guy displayed the carving below. It is a parody of the painting shown after it, which everyone in Russia knows. The painting is called "Bogatyrs" (the Russian analogue of knights) and hangs in the Tretyakov Gallery in Moscow.

negative numbers maths mansion

At a museum near the park I found 15-puzzles with removable pieces for sale and bought one of them (I wrote about another one on the page about Suzdal ).

negative numbers maths mansion

Georgievskaya street, a pedestrian area, was rebuilt in 2016 with new brick paths, new benches, new building facades, and a few bronze statues. Here is one of the statues: a 19th century fireman outside the local fire station. (A news article about its installation is here if you know Russian.) This is interactive, since if you push the wooden handle up and down, a stream of water comes out of the hose that the statue is holding.

negative numbers maths mansion

A kiosk off this street had the following Trump-era US currency holder for sale.

negative numbers maths mansion

By far the most interesting tourist activity in Vladimir is a visit to Borodin's blacksmith shop, where you can forge your own nail if you visit on Friday, Saturday, or Sunday. Before the lesson began, I tried on the chain mail and helmet in the waiting area, shown below. The mail weighs almost 50 pounds, with its main pressure being on the shoulders. Taking it off made me feel so much lighter!

negative numbers maths mansion

Behind the chain mail and helmet above is a shield. In Russian, the word "shield" is щит (shcheet). There is an Uzbekistan power company Щит Энергия (Shcheet Energiya) which translates its name into English not as Shield Energy, but as Shit Energiya. I am not making this up. You can see their name in English at the top and bottom of a Wayback Machine copy of their 2018 homepage . Strictly speaking, Shit Energiya is an LLC, and that abbreviation is translated into Russian as OOO, so the full name in English is the more impressive OOO Shit Energiya, as you can see at the top of a Reddit page on Engrish . In 2014, Ben Stiller visited the Russian late-night talk show Evening Urgant and, without knowing Russian, participated in a skit where he had to guess what presents different children asked him about in Russian. A child asked to get a shield, and Stiller was astonished by the word he (thought he) heard. This skit was posted to the show's YouTube channel here , but that link stopped working for me after the show was shut down in February 2022. I found an archived copy of the skit on Facebook here (the part about the shield starts at 1:55).

For some reason, the waiting area also had a copy of a "Felix" pinwheel calculator. The name is from Felix Dzerzhinsky, who organized a factory to create them based on an earlier model (see here ) while he wasn't busy killing people. The Felix calculator at the blacksmith is on the left, and a shinier version I found at the Computer History Museum in California a few months later is on the right.

negative numbers maths mansion

Here are the blacksmith's forge (furnace), anvil, and work tools.

negative numbers maths mansion

The lesson (or "master class") was led by Alexei Borodin, who began by discussing the important role of blacksmiths in the era before mass production of consumer goods. They made everything a household used that was metallic: pans, utensils, keys, horseshoes, scales, nails, iron wheel tires, etc. After discussing a minimal set of tools a blacksmith would use, he asked "What else does a blacksmith have to use?" "The head!"

negative numbers maths mansion

This metal decorative piece took him 2 months to create.

negative numbers maths mansion

Below, our instructor discussed weighing heavy and light items; the metal scale on the right is over 100 years old.

negative numbers maths mansion

Now he heated up a metal rod to demonstrate for the audience how to make a nail.

negative numbers maths mansion

He hammered the end of the rod to get a sharp tip, cut off the end, and hammered the top of the tip (with the rest of the nail held in place in a bar called a nailheader) to create a nailhead.

negative numbers maths mansion

It was now time for people in the audience to make a nail. Everyone else who wanted to do this was a child, and I let them go first. After putting on an apron and holding a hammer, it looks like I know what I'm doing, from forming the nailhead to cooling it off in the bucket of water (quenching).

negative numbers maths mansion

Behold my off-centered nail!

negative numbers maths mansion

Alexei Borodin giving a version of his lesson on YouTube. He starts instructing the first "apprentice" at 26:25, and hammering begins at 28:30.

Here is Yuri Borodin's lesson on YouTube.

The last place I visited in Vladimir was a monument to Prince Vladimir (on the horse) and St. Theodore near the Assumption Cathedral. At sunset there were amazing lights and clouds behind the building.

negative numbers maths mansion

Category : Line numbers of Moscow Metro

Media in category "line numbers of moscow metro".

The following 92 files are in this category, out of 92 total.

negative numbers maths mansion

  • Transit line numbers
  • Lines of Moscow Metro
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Coordinates of elektrostal in degrees and decimal minutes, utm coordinates of elektrostal, geographic coordinate systems.

WGS 84 coordinate reference system is the latest revision of the World Geodetic System, which is used in mapping and navigation, including GPS satellite navigation system (the Global Positioning System).

Geographic coordinates (latitude and longitude) define a position on the Earth’s surface. Coordinates are angular units. The canonical form of latitude and longitude representation uses degrees (°), minutes (′), and seconds (″). GPS systems widely use coordinates in degrees and decimal minutes, or in decimal degrees.

Latitude varies from −90° to 90°. The latitude of the Equator is 0°; the latitude of the South Pole is −90°; the latitude of the North Pole is 90°. Positive latitude values correspond to the geographic locations north of the Equator (abbrev. N). Negative latitude values correspond to the geographic locations south of the Equator (abbrev. S).

Longitude is counted from the prime meridian ( IERS Reference Meridian for WGS 84) and varies from −180° to 180°. Positive longitude values correspond to the geographic locations east of the prime meridian (abbrev. E). Negative longitude values correspond to the geographic locations west of the prime meridian (abbrev. W).

UTM or Universal Transverse Mercator coordinate system divides the Earth’s surface into 60 longitudinal zones. The coordinates of a location within each zone are defined as a planar coordinate pair related to the intersection of the equator and the zone’s central meridian, and measured in meters.

Elevation above sea level is a measure of a geographic location’s height. We are using the global digital elevation model GTOPO30 .

Elektrostal , Moscow Oblast, Russia

IMAGES

  1. Adding and Subtracting Negative Numbers

    negative numbers maths mansion

  2. Introduction to Negative Numbers

    negative numbers maths mansion

  3. Negative Numbers Number Line Worksheets Negative Numbers Worksheet Images

    negative numbers maths mansion

  4. Maths Mansion: Disk Two Screenshots for Windows

    negative numbers maths mansion

  5. Negative Numbers

    negative numbers maths mansion

  6. GCSE Maths

    negative numbers maths mansion

VIDEO

  1. Modulus vs Negative Numbers 😆 #bhannatmaths #modulus #maths #shorts

  2. Adding a Negative Value

  3. Math

  4. LR Puzzle 1: Murderer in the Mansion

  5. Maths Mansion On CBeebies (5th October 2007)

  6. Negative and positive numbers on a number line. Math 6!

COMMENTS

  1. ClassHook

    Jackie guesses that they are on floor -5, the Grand Ballroom, so Digit tries to determine which direction to go. Initially, he thinks that they should go up, but that turns out to be incorrect. Jackie, Inez, and Matt explain to Digit why -5 is less than -3. The Bad Mean teaches the kids how to order negative numbers.

  2. 4 The Negs

    Ordering positive and negative numbers

  3. Maths Mansion

    Share your videos with friends, family, and the world

  4. Intro to negative numbers (video)

    Binh1600 11 years ago Is -1 more or less than 0.1 • 2 comments ( 359 votes) Upvote Downvote Flag Infiltration 10 years ago -1 is a negative number, which makes it less than any other positive number. 0.1 is positive, so 0.1 is greater than -1. You can compare then to zero like this: -1 < 0 < 0.1.

  5. Negative numbers

    About this unit Learn about numbers below 0 and how they relate to positive numbers. Add, subtract, multiply and divide negative numbers. Intro to negative numbers Learn Intro to negative numbers Intro to negative numbers Practice Interpreting negative numbers 7 questions Negative numbers on the number line 7 questions Number opposites Learn

  6. Adding & subtracting negative numbers (video)

    The number farther to the left of the number line is negative-5,-6,-7,-8,-9..... The number farther to the right will be positive 1,2,3,4,5,6,7,8... The number line is technically separated in two parts , negative/positive and in the middle is 0. You can also think it this way... Left of 0 on number line = negative Right of 0 on number line ...

  7. Adding, Subtracting, Multiplying and Dividing Negative Numbers

    To add and subtract negative numbers we can use a number line. When we add we move to the right and when we subtract we move to the left. Example 1: -3 + 5 The first number is the starting point. We start at -3. We are adding so we are moving to the right. We move 5 spaces to the right. -3 + 5 = 2 Example 2: -2 - 6

  8. Negative Numbers

    Rule 1: When the signs of the numbers are different, the result is negative. In other words, when we divide a negative number with a positive number, the answer is always negative. For example, -12 ÷ 3 = -4. Rule 2: When the signs of the numbers are the same, the result is positive.

  9. Adding and Subtracting Positive and Negative Numbers

    Adding A Negative Number Now let's see what adding and subtracting negative numbers looks like: We can add weights (we are adding negative values) the basket gets pulled downwards (negative) Example: 6 + (−3) = 3 is really saying "Positive 6 plus Negative 3 equals Positive 3" We could write it as (+6) + (−3) = (+3)

  10. Negative Numbers

    Published 2009 Negative Numbers Nowadays we use negative numbers in many contexts and, as a result, they seem perfectly natural to us. That's because we've been taught to see numbers as a continuous number line, stretching out from zero in both the positive and negative directions.

  11. What are negative numbers?

    Activity 1 Activity 2 What are negative numbers? Numbers don't just stop at zero. When you count backwards from zero, you go into negative numbers. Positive numbers are more than zero:...

  12. BBC Two

    BBC Two The Maths Channel Home Episodes Clips This content doesn't seem to be working. Negative numbers A diver is used to illustrate the concept of a negative number scale. The surface...

  13. Intro to negative numbers (article)

    Two negatives equal a positive when you are multiplying or dividing. A negative plus a negative does equal a negative. You are moving down on the number line, so you are getting to smaller numbers. (-2+ (-3))is the same as (-2-3). This equals (-5).

  14. Math Antics

    Do you want to learn how to work with negative numbers in a fun and easy way? Watch this video from Math Antics, a popular channel that explains math concepts with clear examples and animations ...

  15. Negative Numbers Worksheet

    Absolute Value Worksheets What are Negative Numbers? Negative numbers are numbers with a value of less than zero. They can be fractions, decimals, rational and irrational numbers. -13, -½ , -√2, -6.4 and -123 are all negative numbers. We have a page dedicated to learning about negative numbers below. What are Negative Numbers Negative Number Lines

  16. Maths Mansion

    Maths Mansion is a British educational television series for school Years 4 to 6 (nine to eleven year olds) that ran from 19 September 2001 to 26 March 2003. Produced by Channel 4 by Open Mind, It follows the adventures of "Bad Man" taking kids to his mansion, Maths Mansion.

  17. Arithmetic Involving Negatives Practice Questions

    adding, subtracting, arithmetic, negative numbers, addition, subtraction, add, subtract, multiplying, multiplication, dividing, division

  18. Negative numbers (directed number). GCSE Maths Past Paper Questions

    It does encourage me to upload more. This resource contains all of the negative numbers (directed number) questions that have come up in the Edexcel GCSE maths papers to date (Autumn 2021), arranged as a printable worksheet. There is also reference to which paper each question came up on. The full solutions are also included (please let me know ...

  19. Vladimir (2018)

    Vladimir (2018) In 2018, after visiting Suzdal I visited Vladimir, which was the capital of Russia from the mid-1100s to the early 1200s, when it was sacked by the Mongols and never fully recovered its importance (Moscow took over). Like Suzdal, Vladimir is one of the cities in the Golden Ring. Unlike Suzdal, Vladimir is a real city. At a train terminal in Vladimir there was the following ...

  20. Negative numbers

    Start Unit test. Negative numbers are a necessary part of our understanding of mathematics and the world. Negative does not mean "bad." It's just changing the same amount, but in the opposite direction, like getting cooler instead of warmer. Absolute value tells us the amount of the change without the direction.

  21. Category : Line numbers of Moscow Metro

    Media in category "Line numbers of Moscow Metro" The following 90 files are in this category, out of 90 total. Moskwa Metro Line 1 alt.svg 200 × 200; 7 KB. Moskwa Metro Line 1 ex.svg 200 × 200; 12 KB. Moskwa Metro Line 1 inv.svg 200 × 200; 7 KB. Moskwa Metro Line 1 out.svg 200 × 200; 7 KB.

  22. Geographic coordinates of Elektrostal, Moscow Oblast, Russia

    Negative longitude values correspond to the geographic locations west of the prime meridian (abbrev. W). UTM or Universal Transverse Mercator coordinate system divides the Earth's surface into 60 longitudinal zones. The coordinates of a location within each zone are defined as a planar coordinate pair related to the intersection of the ...

  23. The War, Russia's Infrastructure, And The Lesson Of History

    For ease of arithmetic, we can increase those numbers to sketch out the war's cost to its current 24 months, and find that Putin's war has cost $42-trillion. This is twenty times the entire GDP of Russia. I am aware that this estimate is many times larger than the conventional accounting, which does not take into account the value of a ...

  24. Negative numbers

    Negative numbers are a necessary part of our understanding of mathematics and the world. The idea of anything "negative" is often seen as "bad." Negative numbers are not only good, but they're fun! Walk through this tutorial with us and we'll show you how they are defined, interpreted, and applied. Absolute value is a type of negative number that is expressed as a positive.