Name the Property of Multiplication of Rational Numbers Illustrated by the Following Statements: − 3 2 × 5 4 + − 3 2 × − 7 6 = − 3 2 × ( 5 4 + − 7 6 )

Name the property of multiplication of rational numbers illustrated by the following statements:

\[\frac{- 3}{2} \times \frac{5}{4} + \frac{- 3}{2} \times \frac{- 7}{6} = \frac{- 3}{2} \times \left( \frac{5}{4} + \frac{- 7}{6} \right)\]

Sum

Distributive property

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Write five rational numbers greater than − 2

Verify the property: x × y = y × x by taking:

Verify the property: x × (y × z) = (x × y) × z by taking:

Name the property of multiplication of rational numbers illustrated by the following statements:

By what number should we multiply \[\frac{- 8}{13}\]

so that the product may be 24?

By what number should \[\frac{- 3}{4}\] be multiplied in order to produce \[\frac{2}{3}?\]

Which of the following is an example of distributive property of multiplication over addition for rational numbers?

`1/5 xx [2/7 + 3/8] = [1/5 xx 2/7] +` ______.

Simplify the following by using suitable property. Also name the property.

`[1/5 xx 2/15] - [1/5 xx 2/5]`

Simplify the following by using suitable property. Also name the property.

`(-3)/5 xx {3/7 + ((-5)/6)}`