The product of two rational numbers is 15 if one of the numbers is 10, find the other

The correct answer is: 18/7

product =15/56one no. =5/48second no. = product /first no.=(15/56) / (5/48)

=18/7

Question 3 Rational Numbers Exercise 1.7

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Answer:

We know that the product of two rational numbers = 15

One of the number = -10

∴ other number can be obtained by dividing the product by the given number.

Other number = 15/-10

= -3/2

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The product of two rational numbers is 15. If one of the numbers is −10, find the other.

\[\text{Let the other number be x .} \]\[ \therefore x \times ( - 10) = 15\]\[\text{or}\ x = \frac{15}{- 10} = \frac{3}{- 2}\]

\[\text{So, the other number is} \frac{- 3}{2} .\]

Concept: Rational Numbers Between Two Rational Numbers

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Page 2

The product of two rational numbers is\[\frac{- 8}{9} .\]  If one of the numbers is \[\frac{- 4}{15},\] find the other.

\[\text{Let the other number be x .} \]\[ \therefore x \times \frac{- 4}{15} = \frac{- 8}{9}\]\[\text{or} x = \frac{- 8}{9} \div \frac{- 4}{15}\]\[\text{or} x = \frac{- 8}{9} \times \frac{15}{- 4}\]\[\text{or} x = \frac{10}{3}\]

\[\text{Thus, the other number is} \frac{10}{3} .\]

Concept: Rational Numbers Between Two Rational Numbers

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The product of two rational numbers is 15. If one of the numbers is 10, find the other.

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