Verify the following equation. 1 5 + - 2 3 + 3 10 = 1 5 + - 2 3 + 3 10 .

We need to verify the equation 1 5 + - 2 3 + 3 10 = 1 5 + - 2 3 + 3 10 . . . . . . ( 1 ) According to the associative property of addition, changing the grouping of addends does not change the sum. This can be verified by checking, whether LHS = RHS or not. Consider the LHS of 1 , we get: 3 - 10 15 + 3 10 = - 7 15 + 3 10 = - 14 + 9 30 = - 5 30 Consider the RHS of 1 , we get: 1 5 + - 2 3 + 3 10 = 1 5 + - 2 × 10 + 3 × 3 30 = 1 5 + - 20 + 9 30 = 1 5 - 11 30 = 6 - 11 30 = - 5 30 Thus, LHS = RHS Hence, verified.

Verify the following equation. - 3 11 + 2 - 7 + 9 2 = - 3 11 + 2 - 7 + 9 2 .

We need to verify the equation - 3 11 + 2 - 7 + 9 2 = - 3 11 + 2 - 7 + 9 2 . . . . ( 1 ) According to the associative property of addition, changing the grouping of addends does not change the sum. This can be verified by checking, whether LHS = RHS or not. Consider the LHS of 1 , we get: - 3 11 + 2 - 7 + 9 2 = - 21 - 22 77 + 9 2 = - 43 77 + 9 2 = - 86 + 693 154 = 607 154 Consider the RHS of 1 , we get: - 3 11 + - 2 7 + 9 2 = - 3 11 + - 4 + 63 14 = - 3 11 + 59 14 = - 42 + 649 154 = 607 154 ∴ LHS = RHS Hence, verified.

E M B I B E

All In One MATHEMATICS CBSE Class 8>Chapter 1 - Rational Numbers>Chapter Test>Q 11

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8th CBSE

IMPORTANT

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Use the distributivity of multiplication of rational numbers over addition to simplify $\frac{3}{5} \times [\frac{35}{24} + \frac{10}{1}]$ .

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Important Questions on Rational Numbers

MEDIUM

8th CBSE

IMPORTANT

All In One MATHEMATICS CBSE Class 8>Chapter 1 - Rational Numbers>Chapter Test>Q 11

Using the distributive law of multiplication of rational numbers over addition, if $\frac{- 5}{4} \times [\frac{8}{5} + \frac{16}{15}] = \frac{k}{3}$ , find the value of $k$ .