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Step-by-step practice: Maths · Level 2Chapter 6 · Taking away within 20
Step-by-step Maths Level 2 · Taking away within 20 · Lesson 6.2

Step-by-step Maths Level 2: Finding the difference by counting up

Part of the Step-by-step Maths Level 2 taking away within 20 chapter. Chapter overview · whole chapter on one page

6.2

Finding the difference by counting up

Level 2
Find the difference between two numbers up to 20 by counting up

The difference is how far apart two numbers are.

Count up from the smaller number to the bigger one. The number of steps is the difference.

1112131415161718
From 12 to 17 is 5 steps, so the difference is 5.

Key ideas

  • Difference means how far apart.
  • Count up from the smaller number.
  • The number of steps is the answer.
Worked example 6.2.1
What is the difference between 12 and 17?

Method. The difference is how far apart the numbers are. Count up from the smaller number.

  1. Start at the smaller number, 12. We count up to the bigger number.
    12
  2. Count up to 17. Count each step as you go.
    17 - 12 = 5
  3. Write the difference. The number of steps is the difference.
    5

Check. 12 + 5 = 17. The difference is right.

Watch out. The difference is not the bigger number. It is the number of steps between them.

Worked example 6.2.2
What is the difference between 6 and 14?

Method. The difference is how far apart the numbers are. Count up from the smaller number.

  1. Start at the smaller number, 6. We count up to the bigger number.
    6
  2. Count up to 14. Count each step as you go.
    14 - 6 = 8
  3. Write the difference. The number of steps is the difference.
    8

Check. 6 + 8 = 14. The difference is right.

Watch out. The difference is not the bigger number. It is the number of steps between them.

Worked example 6.2.3
What is the difference between 9 and 15?

Method. The difference is how far apart the numbers are. Count up from the smaller number.

  1. Start at the smaller number, 9. We count up to the bigger number.
    9
  2. Count up to 15. Count each step as you go.
    15 - 9 = 6
  3. Write the difference. The number of steps is the difference.
    6

Check. 9 + 6 = 15. The difference is right.

Watch out. The difference is not the bigger number. It is the number of steps between them.

Watch out

Watch out. Count the steps, not the numbers. From 12 to 17 there are 5 steps, not 6.

Exam tip

Grown-up tip. Ask: “How many more is 17 than 12?” Count up on fingers.

Exercise 6B  Practice: finding the difference

Non-calculator
1
PSWhat is the difference between 1 and 13?
01234567891011121314
2
PSWhat is the difference between 3 and 16?
234567891011121314151617
3
PSWhat is the difference between 1 and 3?
01234
4
PSWhat is the difference between 6 and 10?
567891011
5
PSWhat is the difference between 11 and 16?
1011121314151617
6
PSWhat is the difference between 2 and 16?
1234567891011121314151617
7
PSWhat is the difference between 4 and 16?
34567891011121314151617
8
PSWhat is the difference between 2 and 14?
123456789101112131415
9
PSWhat is the difference between 15 and 20?
1415161718192021
10
PSWhat is the difference between 1 and 8?
0123456789
11
PSWhat is the difference between 12 and 14?
1112131415
12
PSWhat is the difference between 2 and 17?
123456789101112131415161718
13
PSWhat is the difference between 7 and 16?
67891011121314151617
14
PSWhat is the difference between 1 and 9?
012345678910
15
PSWhat is the difference between 1 and 5?
0123456
16
PSWhat is the difference between 2 and 12?
12345678910111213

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