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R.1 Break apart the one-digit number to add

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What are break apart addition strategies?

Break apart addition is a strategy where you separate one number into smaller parts to make adding easier. In two-digit plus one-digit problems, you always break apart the smaller number.

Examples:
  • 46 + 7 → break apart 7 into 4 and 3
  • 25 + 8 → break apart 8 into 5 and 3
Note

Breaking apart makes addition easier by creating a friendly number (a multiple of ten).

How do you identify when to use this strategy?

Use the break apart strategy when adding a two-digit number and a one-digit number. Look for the distance to the next multiple of ten in the larger number.

Steps:
  • Find the two-digit number and the one-digit number.
  • Check how many ones are needed to reach the next multiple of ten.
  • Break apart the one-digit number to make that ten first.
Note

If the one-digit number is larger than the number of ones needed to reach the next ten, break it apart.

Examples of break apart addition

Here are some examples showing how to break apart the one-digit number to make a new ten.

Examples:
  • 46 + 7 → 46 + 4 + 3 → 50 + 3 = 53
  • 58 + 6 → 58 + 2 + 4 → 60 + 4 = 64
  • 29 + 5 → 29 + 1 + 4 → 30 + 4 = 34
Note

This method makes mental math easier because you add to a friendly number first, then add what is left.

Things to keep in mind

Breaking apart numbers is not the only way to add, but it is a powerful strategy for solving problems quickly in your head.

Helpful Tips:
  • Always break apart the one-digit number, not the two-digit number.
  • Look for the nearest multiple of ten in the larger number.
  • Practice until you can do it without writing every step.
Note

This strategy builds number sense and prepares you for more advanced math.