Tell what 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} $.

AcademicMathematicsNCERTClass 8

Given:

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

To do:

We have to find the property according to which the given equation is true.

Solution:

Associative property for multiplication:

When we multiply two or more whole numbers grouped in any order we get the same result

$(a \times b)\times c=a \times (b \times c) $

Therefore, 

Associative property allows us to compute \( \frac{1}{3} \times\left(6 \times \frac{4}{3}\right) \) as \( \left(\frac{1}{3} \times 6\right) \times \frac{4}{3} \).

raja
Updated on 10-Oct-2022 13:47:38

Advertisements