By what numbers should -15-28 be multiplied- so that the product may be -5-7- -4 MARKS-

Concept : 1 Mark Simplification : 2 Marks Conclusion : 1 Mark We have, Product of two numbers = 15/28 one of the numbers = 5/7 ∴ The other number = product of ...

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Standard VIII

Mathematics

Commutative Property of Rational Numbers

By what numbe...

Question

By what numbers should $\frac{- 15}{28}$ be multiplied, so that the product may be $\frac{- 5}{7}$ ? [4 MARKS]

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Solution

Concept : 1 Mark
Simplification : 2 Marks
Conclusion : 1 Mark

We have,

Product of two numbers $= \frac{- 15}{28}$
one of the numbers $= \frac{- 5}{7}$
$∴$ The other number = product of the numbers $\div$ given number
$= \frac{- 5}{7} \div (\frac{- 15}{28}) = \frac{- 5}{7} \times \frac{28}{- 15}$
$= \frac{(- 5) \times 28}{7 \times (- 15)} = \frac{1 \times 4}{1 \times 3} = \frac{4}{3}$

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By what numbers should −1528 be multiplied, so that the product may be −57? [4 MARKS]

Concept : 1 Mark Simplification : 2 Marks Conclusion : 1 Mark We have, Product of two numbers =−1528 one of the numbers =−57 ∴ The other number = product of the numbers ÷ given number =−57÷(−1528)=−57×28−15 =(−5)×287×(−15)=1×41×3=43

By what numbers should $\frac{- 15}{28}$ be multiplied, so that the product may be $\frac{- 5}{7}$ ? [4 MARKS]