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Understand How To Work with Negative Numbers

In this worksheet, students will use their knowledge and understanding of negative numbers to solve a variety of calculations and worded problems.

'Understand How To Work with Negative Numbers' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Number and Place Value

Curriculum subtopic:   Use Negative Numbers

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

negative number is a number smaller than zero. This can be clearly seen on the number line below.

 

 

You will be asked to use your knowledge about negative numbers to solve different problems.

 

Example 1:

 

What is 6 minus 12?

 

You may be able to do this type of calculation in your head or it may help you to use a number line.

 

 

 

Answer: -6

 

Example 2:

 

The temperature is -7°C in New York in January, it is 18°C warmer in Rome, what is the temperature in Rome?

 

Answer: 

 

Count on from -7°C to 0 and then add on another 11 so in total, you have added 18

 

This gives the answer 11°C

Here is a table of temperatures at dawn in different cities around the world.

 

Temperatures °C
London -4°C
Prague -6°C
Berlin -8°C
Rome 2°C
New York -1°C

 

What is the difference in temperature between London and Rome? (You don't need to write the units in your answer)

Here is a table of temperatures at dawn in different cities around the world.

 

Temperatures °C
London -4°C
Prague -6°C
Berlin -8°C
Rome 2°C
New York -1°C

 

By noon, the temperature in Berlin has risen by 10°C. What is it now?

-2°C

0°C

2°C

1°C

What is 7 minus 10?

 

Either calculate this mentally or use a number line.

Can you match the numbers into pairs so that they each have a difference of 8?

Column A

Column B

-4
6
-2
4
-1
7
-5
3

The temperature in Moscow is -9°C at dawn.

By midday, it has risen by 5°C. What is the temperature now?

0°C

-5°C

-4°C

-2°C

A sequence starts at 500 and 60 is subtracted each time.

 

500, 440, 380...

 

Can you write the first two numbers in the sequence that are less than 0?

0°C

-5°C

-4°C

-2°C

A sequence starts at 700 and 80 is subtracted each time.

 

700, 620, 540...

 

Can you write the first two numbers in the sequence that are less than 0?

0°C

-5°C

-4°C

-2°C

The temperature in a greenhouse is 28°C.

The temperature outside is 32 degrees cooler, what is the temperature outside?

                                    

 

 

 

The temperature is currently -3°C if it increases by 6°C, what will the new temperature be?

If the temperature is currently 14°C but then falls 19°C overnight due to a thick frost, what would the new temperature be? You don't need to write the units for this answer.

 

 

  • Question 1

Here is a table of temperatures at dawn in different cities around the world.

 

Temperatures °C
London -4°C
Prague -6°C
Berlin -8°C
Rome 2°C
New York -1°C

 

What is the difference in temperature between London and Rome? (You don't need to write the units in your answer)

CORRECT ANSWER
6
EDDIE SAYS
To find the difference, you should start with the lowest integer, which is the temperature in London, -4°C. Then, count up to 0 and continue until you reach 2°C, the temperature in Rome. You should have found a difference of 6°C.
  • Question 2

Here is a table of temperatures at dawn in different cities around the world.

 

Temperatures °C
London -4°C
Prague -6°C
Berlin -8°C
Rome 2°C
New York -1°C

 

By noon, the temperature in Berlin has risen by 10°C. What is it now?

CORRECT ANSWER
2°C
EDDIE SAYS
In order to calculate the new temperature, you needed to count on 10 from -8°C. First of all, add 8 to reach 0 and then add an additional 2 to add a total of 10°C. Therefore, the new temperature is 2°C.
  • Question 3

What is 7 minus 10?

 

Either calculate this mentally or use a number line.

CORRECT ANSWER
-3°C
EDDIE SAYS
You can do this calculation in your head or by using a number line. 7 - 10 = -3
  • Question 4

Can you match the numbers into pairs so that they each have a difference of 8?

CORRECT ANSWER

Column A

Column B

-4
4
-2
6
-1
7
-5
3
EDDIE SAYS
How did you get on? You had to look at the numbers carefully to find the difference of 8 to match each pair. The matching pairs are -4 and 4 -2 and 6 -1 and 7 -5 and 3
  • Question 5

The temperature in Moscow is -9°C at dawn.

By midday, it has risen by 5°C. What is the temperature now?

CORRECT ANSWER
-4°C
EDDIE SAYS
To tackle this question, we start with the smallest integer, -9°C and then count up 5. This gives us the new temperature of -4°C, still a negative number.
  • Question 6

A sequence starts at 500 and 60 is subtracted each time.

 

500, 440, 380...

 

Can you write the first two numbers in the sequence that are less than 0?

CORRECT ANSWER
EDDIE SAYS
To complete the sequence, you needed to subtract 60 carefully from 500. The first two numbers in the sequence that are less than 0 are -40 followed by -100.
  • Question 7

A sequence starts at 700 and 80 is subtracted each time.

 

700, 620, 540...

 

Can you write the first two numbers in the sequence that are less than 0?

CORRECT ANSWER
EDDIE SAYS
To complete the sequence, you needed to subtract 80 carefully from 700. The first two numbers in the sequence that are less than 0 are -20 followed by -100.
  • Question 8

The temperature in a greenhouse is 28°C.

The temperature outside is 32 degrees cooler, what is the temperature outside?

CORRECT ANSWER
EDDIE SAYS
To calculate the outside temperature, we needed to subtract 32 from 28, this resulted in an answer of -4°C. Remember to use a number line when you need to.
  • Question 9

                                    

 

 

 

The temperature is currently -3°C if it increases by 6°C, what will the new temperature be?

CORRECT ANSWER
3°C
EDDIE SAYS
The number line really helps with a question like this. After the temperature has increased by 6°C, the new temperature is 3°C.
  • Question 10

If the temperature is currently 14°C but then falls 19°C overnight due to a thick frost, what would the new temperature be? You don't need to write the units for this answer.

 

 

CORRECT ANSWER
-5
EDDIE SAYS
Start with the smallest integer, 14 and subtract 14 to reach 0. Then subtract the remaining 5 of the initial 19, which leaves us with the answer -5°C. Great work, you’ve completed another activity!
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