Another Interesting Trick - Multiplying 37



This is an interesting one. 37 = 111/3.

We have learned that, multiplying any number by 111 can be easy. Therefore, for multiplication that involves 37, the process could be much easier if we convert 37 into 111/3. Let's see the examples below.

Example 1:
123 x 37 = ?

123×37 =123× 111 3 =41×111=4551

Example 2:
23 x 37 = ?

23×37 =(21+2)×37 =21× 111 3 +2×37 =7×111+74 =777+74=851

Example 3:
532 x 37 = ?

532×37 =(531+1)×37 =531× 111 3 +37 =177×111+37 =19647+37=19684

Another method

Example 4
37 x 6 = ?

37×6 =37×3×2 =111×2=222

Example 5
37 x 7 = ?

37×7 =37×6+37 =37×3×2+37 =222+37=259

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