Understand How To Work with Negative Numbers

In this worksheet, students will be asked to use their knowledge of negative numbers to arrange integers and solve worded problems.

Key stage:  KS 2

Curriculum topic:   Number: Number and Place Value

Curriculum subtopic:   Use Negative Numbers

Difficulty level:

QUESTION 1 of 10

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

One of the activities you will be asked to do is arrange integers in ascending order (smallest first).

Example:

-9    0    6    22    -24    -1

Look at the negative numbers first.

The smallest negative number is -24, then -9, then - 1.

Then look at the positive numbers.

The smallest positive number is 0, then 6, and finally, the largest number is 22.

The numbers in ascending order are:

-24    -9    -1    0    6    22

You will also be asked to calculate with negative numbers mentally.

Example:

The temperature on Monday morning is -4°C. The temperature on Friday morning is 1°C. How much warmer is it on Friday morning?

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

Arrange the following integers in ascending order, so that the first one is the smallest integer and the fifth one is the largest integer.

81      -3      3      -89      -82

Column B

First
3
Second
-82
Third
-89
Forth
-3
Fifth
81

Arrange the following integers in ascending order, so that the first one is the smallest integer and the fifth one is the largest integer.

284     -242     -7     192     -264

Column B

First
-7
Second
192
Third
284
Forth
-242
Fifth
-264

Arrange the following integers in ascending order, so that the first one is the smallest integer and the fifth one is the largest integer.

82     -71     19     -17     -94

Column B

1st
-17
2nd
19
3rd
82
4th
-71
5th
-94

Can you choose the correct sequence of numbers that shows the integers arranged in ascending order?

0     -101     -54     -97     13

-101, -97, -54, 0, 13

-97, -101, 0, 13, -54

13, 0, -54, -97, -101

-101, 13, 0, -54, -97

The temperature in a freezer is -20°C.

The temperature in the kitchen is 20°C.

What is the difference between these temperatures?

20°C

40°C

-40°C

14°C

The temperature in December in London is -4°C.

The temperature in Paris in December is 3°C.

What is the difference between these temperatures?

Can you choose the two numbers that have a difference of 2?

 -2 and -1 -1 and 1 0 and 3 4 and 0 Difference of Two

The temperature in Birmingham at dawn is -2 degrees Celsius.

By noon, it has increased by 7 degrees, what's the temperature now?

A sequence starts at 200 and 20 is subtracted each time.

200...180...160...

The sequence continues in the same way.

Write the first two numbers in the sequence that are less than zero.

A sequence starts at 400 and 30 is subtracted each time.

400...370...340...

The sequence continues in the same way.

Write the first two numbers in the sequence that are less than zero.

• Question 1

Arrange the following integers in ascending order, so that the first one is the smallest integer and the fifth one is the largest integer.

81      -3      3      -89      -82

Column B

First
-89
Second
-82
Third
-3
Forth
3
Fifth
81
EDDIE SAYS
-89 is the smallest integer and so goes first, followed by -82 and then -3. The positive numbers go in order 3 then 81.
• Question 2

Arrange the following integers in ascending order, so that the first one is the smallest integer and the fifth one is the largest integer.

284     -242     -7     192     -264

Column B

First
-264
Second
-242
Third
-7
Forth
192
Fifth
284
EDDIE SAYS
How did you find arranging the integers this time? -264 is the smallest integer and so goes first, followed by -242 and then -7. The positive numbers go in order 192 and 284.
• Question 3

Arrange the following integers in ascending order, so that the first one is the smallest integer and the fifth one is the largest integer.

82     -71     19     -17     -94

Column B

1st
-94
2nd
-71
3rd
-17
4th
19
5th
82
EDDIE SAYS
I bet you're getting the hang of this now! -94 is the smallest integer and so goes first, followed by -71 and then -17. The positive numbers go in the order, 19 then 82.
• Question 4

Can you choose the correct sequence of numbers that shows the integers arranged in ascending order?

0     -101     -54     -97     13

-101, -97, -54, 0, 13
EDDIE SAYS
You had to look carefully at this one! Hopefully, you spotted that the integers arranged in ascending order are; -101, -97, -54, 0, 13.
• Question 5

The temperature in a freezer is -20°C.

The temperature in the kitchen is 20°C.

What is the difference between these temperatures?

40°C
EDDIE SAYS
You can work out the difference by starting at -20°C and adding 20 to reach 0. You then need to add another 20 to reach 20°C. Therefore, in total, you have added 40°C, which is the difference between the two temperatures.
• Question 6

The temperature in December in London is -4°C.

The temperature in Paris in December is 3°C.

What is the difference between these temperatures?

7°C
7
EDDIE SAYS
For this question, we were again looking to find the difference. You can work out the difference by starting at -4°C and adding 4 to reach 0. You then need to add another 3 to reach 3°C. Therefore, in total, you have added 7°C, which is then the difference between the two temperatures.
• Question 7

Can you choose the two numbers that have a difference of 2?

 -2 and -1 -1 and 1 0 and 3 4 and 0 Difference of Two
EDDIE SAYS
When we look closely at the pairs of numbers, we can spot that -1 and 1 have a difference of 2. Is this beginning to make sense? Only three more questions until you're done!
• Question 8

The temperature in Birmingham at dawn is -2 degrees Celsius.

By noon, it has increased by 7 degrees, what's the temperature now?

EDDIE SAYS
As we have done before, we should start with the smallest number, -2°C and then count up to 0 by adding 2. We then count on an additional 5 so that we have added the total of 7. This leaves us with a temperature of 5°C.
• Question 9

A sequence starts at 200 and 20 is subtracted each time.

200...180...160...

The sequence continues in the same way.

Write the first two numbers in the sequence that are less than zero.

EDDIE SAYS
The first negative number in the sequence is -20, followed by -40.
• Question 10

A sequence starts at 400 and 30 is subtracted each time.

400...370...340...

The sequence continues in the same way.

Write the first two numbers in the sequence that are less than zero.

EDDIE SAYS
A bit of a trickier sequence to solve this time! The first negative number in the sequence is -20, followed by -50. Great work, you've completed another activity. How about attempting another one so you feel super confident?
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