    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 336To calculate 6×7×8, we can follow one of the two following options: First multiply 7 and 8, and then with the result multiply 6, i.e., 6×7×8=6×(7×8). 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.  Suggest Corrections  1      Similar questions  Explore more