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Ex.1.1 Q7 Rational Numbers Solution - NCERT Maths Class 8

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Question

Tell what property allow you to compute \(\begin{align}\frac{1}{3} \times \left( {6 \times \frac{4}{5}} \right)\end{align}\) as \(\begin{align}\left( {\frac{1}{3} \times 6} \right) \times \frac{4}{3}\end{align}\)

 Video Solution
Rational Numbers
Ex 1.1 | Question 7

Text Solution

What is known?

Rational numbers.

What is unknown?

Property.

Reasoning:

Multiplication is associative for rational numbers. For any rational numbers \(a,\, b,\, c \)

\[\begin{align}a \times (b \times c) = (a \times b) \times c \end{align}\]

Steps:

\(\begin{align}\,&[a \times (b \times c) = (a \times b) \times c] \\\\&\frac{1}{3} \times \left( {6 \times \frac{4}{3}} \right)\,\,\,{\rm{as}}\,\,\,\left( {\frac{1}{3} \times 6} \right)\frac{4}{3}\end{align}\)

Associativity of multiplication of rational numbers is used here.