Tell which property allows you to compute
1/5 × [5/6 × 7/9] as [1/5 × 5/6] × 7/9

Solution:

We can use associative property of rational numbers to compute the given equation

LHS = 1/5 × [5/6 × 7/9] = 1/5 × (35/54) = 7/54

RHS = [1/5 × 5/6] × 7/9 = (5/30) × 7/9 = 1/6 × 7/9 = 7/54

Hence proved.

✦ Try This: Tell which property allows you to compute 1/5 × (1/3 × 1/2) = (1/5 × 1/3) × 1/2

Associative property of multiplication allows us to compute multiplication of 3 rational numbers in any order.

LHS = 1/5 × (1/3 × 1/2) = 1/5 × (1/6) = 1/30

RHS = (1/5 × 1/3) × 1/2 = (1/15) × 1/2 = 1/30

Hence proved.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

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NCERT Exemplar Class 8 Maths Chapter 1 Problem 107

Tell which property allows you to compute 1/5 × [5/6 × 7/9] as [1/5 × 5/6] × 7/9

Summary:

Associative property allows us to compute 1/5 × [5/6 × 7/9] as [1/5 × 5/6] × 7/9

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☛ Related Questions:

• Verify the property x × y = y × x of rational numbers by using (a) x = 7, y = 1/2 (b) x = 2/3, y = 9 . . . .
• Verify the property x × (y × z) = (x × y) × z of rational numbers by using (a) x = 1, y = -1/2, z = . . . .
• Verify the property x × (y + z) = x × y + x × z of rational numbers by taking (a) x = -1/2, y = 3/4, . . . .