Method I - Nines Complement Method

CPD: A Compendium of Mathematical Methods (By Jo Morgan), topic 2.1.9

Nines Complement Method: 753 − 491

Step 1

Step 1

  • Instead of subtracting from 753, we start by subtracting 491 from 999. It is easy to subtract any number from 999.
Step 2

Step 2

  • 508 is the ‘9s complement’ of 491.
  • Now add 508 to 753.
Step 3

Step 3

  • Subtract 1000 from the total, then add 1.
  • This is equivalent to subtracting 999.

Test yourself on Method I - Nines Complement Method

  • Which student has done the first step of the calculation 792,836 − 284,756 correctly?

  • Which student has done the final step of the calculation 792,836 − 284,756 correctly?

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