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47 + 9 Compensation Strategy

Satisfactory Essays

47 + 9 is a typical mental calculation that children in Year 2 are expected to solve by the end of the year. one of the efficient strategies which could be used for this calculation is the compensation strategy. This can be done by temporarily adding appropriate small number such as 1 to number 9 to make it a friendly number into 10. This changes the calculation from 47 + 9 to 47 + 10. The reason for this is because 9 + 1 is a number fact to 10 and it is much easier to add 10 onto 47 then 9 onto 49 in our head. Adding those two numbers will give a total of 57. Now, this can be adjusted by taking off the extra bit which is 1 to get the answer 56. Example: - 47 + 9 → 47 + 10 - 47 + 10 = 57 - 57 – 1 = 56. The second mental calculation 36 + 5 can be carried out using the bridging through 10 method. the key to this is knowing how much more are needed to make 10 or a whole number (secure knowledge of number bonds to10). So, the next friendliest number for 36 is 40. In order to reach to 40 from 36, we need to add 4 more to 36. But, first we need to split the number 5 into 4 and 1 for example, 36 + 5 → 36 + 4 + 1. With secure knowledge of number bonds to 10, the 36 and 4 can be added together, which give a total number of 40. Eventually, the remaining number 1 can be added to 40 to give a sum of 41. …show more content…

Bridging through 10 can also be used for

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