What compensation means in maths

 

maths work in textbooks

Compensation is one of several efficient written methods for addition of larger numbers. It involves adding too much and then taking the extra off that you have added.

Year 4

For example: 744 + 86

  • Round 86 up to the nearest 100: 86 → 100
  • 744 + 100 = 844
  • We have added 14 too many (100 - 86 = 14) so we must take it away
  • 844 - 14 = 830
  • 744 + 86 = 830

 
Year 5

For example: 654 +296

  • Round 296 up to the nearest 100: 296 → 300
  • 654 + 300 = 954
  • Take away the extra 4 (300 - 296 = 4)
  • 954 - 4 = 950

 

Year 6

For example: 5377 + 2974

  • Round 2974 up to the nearest 1000: 2974 → 3000
  • 5377 + 3000 = 8377
  • Take away the extra 26 (3000 - 2974 = 26)
  • 8377 - 26 = 8351

 

Learning with Pearson logo

 

 

 

Last updated: 29-Jun-2012 at 9:15 AM