Using commutative and associative properties, solve 5 × 7 × 2 × 2 × 8 × 5.

5600

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1500

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7200

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4500

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Solution

The correct option is A 5600
5 × 7 × 2 × 2 × 8 × 5

= 5 × (2 × 7) × 2 × (5 × 8)
[using commutative property]

= (5 × 2) × 7 × (2 × 5) × 8
[using associative property]

= 10 × 7 × 10 × 8

= 70 × 80

= 5600

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$25 \times 17 \times 4$ .

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

[\frac{2}{5} + \frac{5}{7} + \frac{- 12}{5}]

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