Tell what property allows you to compute 1/3 × (6 × 4/3) as (1/3 × 6) × 4/3

Choose the correct option for the following statement.

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

  1. The given statement is true.
  2. The given statement is false.
  3. Incomplete information
  4. None of these
Solution:
The correct option is 1
The given statement is true.
For any element $\mathrm{a}, \mathrm{b}, \mathrm{c} \in \mathrm{A}$, associative property states that
$\mathrm{a}(\mathrm{bc})=(\mathrm{ab}) \mathrm{c}$
Take $\mathrm{a}=\frac{1}{3}, \mathrm{~b}=6, \mathrm{c}=\frac{4}{3}$, we get
$\frac{1}{3} \times\left(6 \times \frac{4}{3}\right)=\left(\frac{1}{3} \times 6\right) \times \frac{4}{3}$
Hence, the statement is true.
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