The property allows you to compute $\frac{1}{3} \times (6 \times \frac{4}{3}) as (\frac{1}{3} \times 6) \times \frac{4}{3}$ is associativity.

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True

False

answer is A.

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Detailed Solution

The given statement is,
The property allows you to compute

\frac{1}{3} \times (6 \times \frac{4}{3}) as (\frac{1}{3} \times 6) \times \frac{4}{3}

is associativity.
For any element

a, b, c \in A

, associative property states that

a (bc) = (ab) c

.
Take

a = \frac{1}{3}, b = 6, c = \frac{4}{3}

, we get

\Rightarrow \frac{1}{3} \times (6 \times \frac{4}{3}) = (\frac{1}{3} \times 6) \times \frac{4}{3}

Hence, the property allows you to compute

\frac{1}{3} \times (6 \times \frac{4}{3}) as (\frac{1}{3} \times 6) \times \frac{4}{3}

is associativity.
Thus, the given statement is true.
Therefore, option 1 is correct.

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