2.1.6

Method F - Constant Difference Method

Test yourself

Constant Difference Theory: 753 − 491

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Step 1

  • We are trying to avoid any carrying or exchanging – the problem is the middle digit in the subtrahend being a 9.
  • So we could add 10 to both the minuend and the subtrahend to make the subtraction easier.
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Step 2

  • We write out the new subtraction in the usual column format.
  • This isn’t totally necessary though because we just need to subtract the hundreds from the hundreds, the tens from the tens and the ones from the ones.
  • We can work left to right or right to left (because no exchanges are required), with or without the column format.
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Answer

  • So if 763 − 501 = 262, then 753 − 491 = 262.

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