Question

Which of the following is equivalent to $(33\times 8)\times 41$.

• A. $$(8\times 33)\times 41$$
• B. $$33\times (8\times 41)$$
• C. $$41\times (33\times 8)$$
• D. All of the above

Answer 1

The correct option is D All of the above

Commutative property and associative property holds good for multipication of integers.
So,

• $(33\times 8)\times 41=(8\times 33)\times 41$ [By using commutative property for 33 and 8, 33 x 8 = 8 x 33]
• $(33\times 8)\times 41$ = $33\times (8\times 41)$ [By using associative property]
• $(33\times 8)\times 41$ = $41\times (33\times 8)$ [By using commutative property for (33 x 8) and 41]

Therefore, $(8\times 33)\times 41$, $33\times (8\times 41)$ and $41\times (33\times 8)$ are equivalent to $(33\times 8)\times 41$.