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Strategies

Practice

MENTAL CALCULATION STRATEGIES

an x am, where n + m = 10
A strategy to multiply any two two-digit-numbers that have the same first digit (tens) and their second digits (units) add up to 10.

Example 1

38 x 32 = 1216
How we got 1216
Step 1: Multiply «the first digit» by «itself plus one». This forms the first part of our answer.
3 x (3 + 1) = 12
Step 2: Multiply the last two digits to get the second part of our answer.
8 x 2 = 16

Example 2

17 x 13 = 221
How we got 221
Step 1: Multiply «the first digit» by «itself plus one». This forms the first part of our answer.
1 x (1 + 1) = 2
Step 2: Multiply the last two digits to get the second part of our answer.
7 x 3 = 21

Example 3

25 x 25 = 625
How we got 625
Step 1: Multiply «the first digit» by «itself plus one». This forms the first part of our answer.
2 x (2 + 1) = 6
Step 2: Multiply the last two digits to get the second part of our answer.
5 x 5 = 25

Example 4

62 x 68 = 4216
How we got 4216
Step 1: Multiply «the first digit» by «itself plus one». This forms the first part of our answer.
6 x (6 + 1) = 42
Step 2: Multiply the last two digits to get the second part of our answer.
2 x 8 = 16

Example 5

96 x 94 = 9024
How we got 9024
Step 1: Multiply «the first digit» by «itself plus one». This forms the first part of our answer.
9 x (9 + 1) = 90
Step 2: Multiply the last two digits to get the second part of our answer.
6 x 4 = 24

Example 6

41 x 49 = 2009
How we got 2009
Step 1: Multiply «the first digit» by «itself plus one». This forms the first part of our answer.
4 x (4 + 1) = 20
Step 2: Multiply the last two digits to get the second part of our answer.
1 x 9 = 09
Note that we add an extra zero if the product is less than 10. Here the answer is 2009 and not 209.

Example 7

39 x 31 = 1209
How we got 1209
Step 1: Multiply «the first digit» by «itself plus one». This forms the first part of our answer.
3 x (3 + 1) = 12
Step 2: Multiply the last two digits to get the second part of our answer.
9 x 1 = 09
Note that we add an extra zero if the product is less than 10. Here the answer is 1209 and not 129.

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