Mark whether true or false.
(a) 8 (7 + 3) = 8 × 7 + 8 × 3
(b) 12 (16 + 4) = 12 × 16 + 12 × 4
(c) 14 (5 + 2) = 14 × 5 + 14 × 2
(d) 9 (8 − 3) = 9 × 8 − 9 × 3

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Solution

(a) True, Distributive property of multiplication over addition

(b) True, Distributive property of multiplication over addition

(c) True, Distributive property of multiplication over addition

(d) True, Distributive property of multiplication over subtraction

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Similar questions

Q. 2, 20, 19, 12, 14 ; 3, 13, 12, 16, 15 ; 4, 14, 16, 8, 7 ; ?

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Verify whether the given statement is true or false :

(i) $(\frac{5}{9} \div \frac{1}{3}) \div \frac{5}{2} = \frac{5}{9} \div (\frac{1}{3} \div \frac{5}{2})$

(ii) ${(- 16) \div \frac{6}{5}} \div \frac{- 9}{10} = (- 16) \div {\frac{6}{5} \div \frac{- 9}{10}}$

(iii) $(\frac{- 3}{5} \div \frac{- 12}{35}) \div \frac{1}{14} = \frac{- 3}{5} \div (\frac{- 12}{35} \div \frac{1}{14})$

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

Fill in the blanks.

(i) $(\frac{- 3}{17}) + (\frac{- 12}{5}) = (\frac{- 12}{5}) + (. . . . .)$

(ii) $- 9 + \frac{- 21}{8} = (. . . . . .) + (- 9)$

(iii) $(\frac{- 8}{13} + \frac{3}{7}) + (\frac{- 13}{4}) = (. . . . . .) + [\frac{3}{7} + (\frac{- 13}{4})]$

(iv) $- 12 + (\frac{7}{12} + \frac{- 9}{11}) = (- 12 + \frac{7}{12}) + (. . . . .)$

(v) $\frac{19}{- 5} + (\frac{- 3}{11} + \frac{- 7}{8}) = {\frac{19}{- 5} + (. . . . .)} + \frac{- 7}{8}$

(vi) $\frac{- 16}{7} + . . . . . = . . . . . . + \frac{- 16}{7} = \frac{- 16}{7}$

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Mark whether true or false. (a) 8 (7 + 3) = 8 × 7 + 8 × 3 ____ (b) 12 (16 + 4) = 12 × 16 + 12 × 4 ____ (c) 14 (5 + 2) = 14 × 5 + 14 × 2 ____ (d) 9 (8 − 3) = 9 × 8 − 9 × 3 ____

(a) True, Distributive property of multiplication over addition (b) True, Distributive property of multiplication over addition (c) True, Distributive property of multiplication over addition (d) True, Distributive property of multiplication over subtraction

Mark whether true or false.
(a) 8 (7 + 3) = 8 × 7 + 8 × 3
(b) 12 (16 + 4) = 12 × 16 + 12 × 4
(c) 14 (5 + 2) = 14 × 5 + 14 × 2
(d) 9 (8 − 3) = 9 × 8 − 9 × 3

(a) True, Distributive property of multiplication over addition

(b) True, Distributive property of multiplication over addition

(c) True, Distributive property of multiplication over addition

(d) True, Distributive property of multiplication over subtraction