 # Order Positive and Negative Integers

In this worksheet, students will order groups of numbers (including both positives and negatives) into either ascending or descending order, and locate numbers in specific positions in the resulting sequences. Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel, OCR, Eduqas, AQA

Curriculum topic:   Number, Algebra

Curriculum subtopic:   Structure and Calculation, Algebraic Inequalities

Difficulty level:   ### QUESTION 1 of 10

When you are ordering positive and negative numbers, the easiest way is to use a number line: To order with a number line, all we need to do is start at the left and work to the right.

Example:

Put these numbers in ascending order:

3, - 6, 6, 2, -5, 0, 1

If we start at the left:

The first number that appears is - 6

The second number that appears is - 5

The third number that appears is 0

The fourth number that appears is 1

The fifth number that appears is 2

The sixth number that appears is 3

The last number that appears is 6

So we can then write the numbers in order as:

- 6 , - 5 , 0 , 1 , 2 , 3 , 6

In this activity, you will order groups of numbers, involving both positives and negatives, into ascending or descending order and select numbers which are in specific locations in the resulting sequences.

Look at the numbers below and place them in ascending order:

4 , 8 , 3 , 2 , 7

Complete the sentence below using the following set of numbers:

5 , 9 , -1 , 0 , 2

Hopefully, you're getting good at these!

Now, if we put these numbers into ascending order, which number will be second in the sequence?

-3 , 0 , 5 , 2 , 1

If we put these numbers into descending order, which will be the last two numbers?

3, -4 , -5 , 7 , 4

3

-4

-5

7

4

Look at the numbers below and place them in ascending order:

2 , 5 , 7 , -1 , 3

Now complete the sentence below.

3

-4

-5

7

4

Now, place the following numbers in ascending order:

6 , -2 , 9 , -1 , 5

Once you have ordered them, match each number to their position in the sequence, with 1 being the smallest and 5 being the largest.

## Column B

6
1
-2
3
9
4
-1
2
5
5

If these numbers are put into ascending order, which numbers will be in the first three of the sequence?

5 , 9 , -3 , -2 , -4

5

9

-3

-2

-4

Look at the numbers below and place them in ascending order.

Which number would come first in this sequence?

0 , -4 , -3 , -7 , 5

Which of these following numbers is the largest?

Take your time with this question, so you don't get caught out!

-9 , -4 , -2 , -8 , -5

-9

-4

-2

-8

-5

Place the numbers below in ascending order:

-7 , -1, 0 , -2 , -9

Once you have ordered them, match each number to their position in the sequence, with 1 being the smallest and 5 being the largest.

## Column B

-7
5
-1
2
0
1
-2
3
-9
4
• Question 1

Look at the numbers below and place them in ascending order:

4 , 8 , 3 , 2 , 7

EDDIE SAYS
These numbers are all positive, so we can just bang them straight in order, as if we were counting up our number line.
• Question 2

Complete the sentence below using the following set of numbers:

5 , 9 , -1 , 0 , 2

EDDIE SAYS
Negative numbers are always smaller than positive numbers, this means -1 must be first when they are sequenced.
• Question 3

Hopefully, you're getting good at these!

Now, if we put these numbers into ascending order, which number will be second in the sequence?

-3 , 0 , 5 , 2 , 1

0
EDDIE SAYS
As there is only one negative number, the second number in the sequence must be the smallest positive number. In this case, it's zero. Well done if you got this one correct, maths whizz!
• Question 4

If we put these numbers into descending order, which will be the last two numbers?

3, -4 , -5 , 7 , 4

-4
-5
EDDIE SAYS
Did you spot that we were asked for a decreasing sequence here? Or, going down on our number line. This means the two negative numbers will come last, as they have the smallest value. With each exercise, you're getting better at this!
• Question 5

Look at the numbers below and place them in ascending order:

2 , 5 , 7 , -1 , 3

Now complete the sentence below.

EDDIE SAYS
Whether the sequence was ascending or descending, the answer would still be 3. This is because both sequences have the same middle number.
• Question 6

Now, place the following numbers in ascending order:

6 , -2 , 9 , -1 , 5

Once you have ordered them, match each number to their position in the sequence, with 1 being the smallest and 5 being the largest.

## Column B

6
4
-2
1
9
5
-1
2
5
3
EDDIE SAYS
The correct order should be: -2 , -1 , 5 , 6 , 9 Remember that -2 is smaller than -1, as it is further to the left on your number line. You can always use a pen and paper to draw out your own number line to help you!
• Question 7

If these numbers are put into ascending order, which numbers will be in the first three of the sequence?

5 , 9 , -3 , -2 , -4

-3
-2
-4
EDDIE SAYS
If we are using ascending order, the negative numbers will always come first. This means the three negative numbers will be the first three numbers in the sequence. Good effort!
• Question 8

Look at the numbers below and place them in ascending order.

Which number would come first in this sequence?

0 , -4 , -3 , -7 , 5

-7
EDDIE SAYS
If we're going for ascending order, we need to find the smallest number. Remember that -4 is smaller than -3, as it will appear to the left of it on a number line. If we place this group into ascending order, we will have: -7, -4, -3, 0, 5 The smallest number is therefore -7.
• Question 9

Which of these following numbers is the largest?

Take your time with this question, so you don't get caught out!

-9 , -4 , -2 , -8 , -5

-2
EDDIE SAYS
Remember that, for negative numbers, the smaller the digit means the larger the number. The opposite is true for positive numbers. If we apply this rule, we will find that -9 is the smallest number in this group, whilst -2 is the largest.
• Question 10

Place the numbers below in ascending order:

-7 , -1, 0 , -2 , -9

Once you have ordered them, match each number to their position in the sequence, with 1 being the smallest and 5 being the largest.

## Column B

-7
2
-1
4
0
5
-2
3
-9
1
EDDIE SAYS
Did you get it right? You're making great progress! It's very common to really struggle with saying which negative is bigger. Remember that the larger the digit in a negative number, the smaller the value of the number actually is. This is a tricky one, so well done if you got it right!
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started 