State the property represented by the following-62- 9-7-62- 9-62- 7

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Standard VIII

Mathematics

Relation for Inverse Proportion

State the pro...

Question

State the property represented by the following.
$62 \times (9 - 7) = 62 \times 9 - 62 \times 7$

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Solution

Distributive property: The property of distributivity of multiplication over subtraction, which states that $a \times (b - c) = a \times b - a \times c$
SInce, given that $62 \times (9 - 7) = 62 \times 9 - 62 \times 7$
Hence, Distributive property is used in the given expression.

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Similar questions

Name the property of multiplication illustrated by each of the following statements :

(i) $\frac{- 15}{8} \times \frac{- 12}{7} = \frac{- 12}{7} \times \frac{- 15}{8}$

(ii) $(\frac{- 2}{3} \times \frac{7}{9}) \times \frac{- 9}{5} = \frac{- 2}{3} \times (\frac{7}{9} \times \frac{- 9}{5})$

(iii) $\frac{- 3}{4} \times (\frac{- 3}{4} \times \frac{- 5}{6}) + (\frac{- 3}{4} \times \frac{7}{8})$

(iv) $\frac{- 16}{9} \times 1 = 1 \times \frac{- 16}{9} = \frac{- 16}{9}$

(v) $\frac{- 11}{15} \times \frac{15}{- 11} = \frac{15}{- 11} \times \frac{- 11}{15} = 1$

(vi) $\frac{- 7}{5} \times 0 = 0$

State, true or false :
$(i) \frac{7}{9} = \frac{7 + 5}{9 + 5} (i i) \frac{7}{9} = \frac{7 - 5}{9 - 5} (i i i) \frac{7}{9} = \frac{7 \times 5}{9 \times 5} (i v) \frac{7}{9} = \frac{7 \div 5}{9 \div 5} (v) \frac{- 5}{- 12} is a negative rational number (v i) \frac{- 13}{25} is smaller than \frac{- 25}{13} .$

Q. Which property is illustrated by the following statement?

(9 \times 7) \times 5 = 9 \times (7 \times 5)

State the property represented by the following.

$3 \times (5 + 9) = 3 \times 5 + 3 \times 9$

Q. Which of the following expressions represents the following statement?
Statement: 9 is added to 9 and then the result is multiplied by 7 multiplied by 7.

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State the property represented by the following.62×(9-7)=62×9-62×7

Distributive property: The property of distributivity of multiplication over subtraction, which states that a×(b-c)=a×b-a×cSInce, given that 62×(9-7)=62×9-62×7Hence, Distributive property is used in the given expression.

State the property represented by the following.
$62 \times (9 - 7) = 62 \times 9 - 62 \times 7$

Distributive property: The property of distributivity of multiplication over subtraction, which states that $a \times (b - c) = a \times b - a \times c$
SInce, given that $62 \times (9 - 7) = 62 \times 9 - 62 \times 7$
Hence, Distributive property is used in the given expression.