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Subtraction within twenty

Method: Count back through ten

Take away in two steps. First take away the ones to reach ten, then take away what is still left. To subtract 6 from 14, take away 4 to reach 10, then take away the other 2 to reach 8. For a missing number, add the jump down to ten and the jump from ten.

Explore this idea with maths tools

Jump on a number line

-20-1001020

2 + 3 = 5

Positive jumps go right. Negative jumps go left. Zero stays in the middle.

Words to know

count back through ten
subtract to reach ten first, then subtract the rest
difference
how far apart two numbers are

Worked examples

14 − 6

  1. 1.Split 6 into 4 and 2. 14 − 4 = 10.
  2. 2.10 − 2 = 8.

= 8

13 − 5

  1. 1.Split 5 into 3 and 2. 13 − 3 = 10.
  2. 2.10 − 2 = 8.

= 8

13 − ? = 7

  1. 1.Count back from 13 to 10: that is 3. Then from 10 to 7: that is 3.
  2. 2.3 + 3 = 6, so 13 − 6 = 7.

= 6

For parents

Method: Count back through ten

What to say: How many do we take to get to ten? How many more still need to go?

Common mistakes:

  • Subtracts the smaller ones digit from the larger one, whichever number it belongs to.
  • Reaches ten correctly, then takes away the whole second number from ten instead of only what is left.
  • Counts back but says the starting number as the first step, so the result is one out.
  • For a missing number, finds only the jump from the start down to ten.
  • For a missing number, finds only the jump from ten down to the result.