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Question

What is the value of 6×7×8?

A
42
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B
56
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C
336
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D
None of the above
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Solution

The correct option is C 336
To calculate 6×7×8, we can follow one of the two following options:
  1. First multiply 7 and 8, and then with the result multiply 6, i.e., 6×7×8=6×(7×8).
  2. First multiply 6 and 7, and then with the result multiply 8, i.e., 6×7×8=(6×7)×8.
Note:––––– Multiplication is associative, i.e., here, 6×7×8=6×(7×8)=(6×7)×8.

In option 2, after first multiplication, we get 42×8, whereas, in option 1, we get 6×56. As 42 is less than 56, it might be easier to handle the further multiplication through option 2.

Hence,
6×7×8
=(6×7)×8
=42×8
=(40+2)×8

Now, we use the box method to find out (40+2)×8.
40 2
8 8×40
=8×4×10
=32×10
=320
8×2
=16

(40+2)×8=320+16=336

Hence, the value of 6×7×8 is 336, i.e., option (c.) is the correct one.

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