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

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

Use the distributivity of multiplication of rational numbers over their addition to simplify:

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

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

Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.

Verify the distributive property a × (b + c) = (a × b) + (a × c) for the rational numbers a = `(-1)/2`, b = `2/3` and c = `(-5)/6`

For rational numbers `a/b, c/d` and `e/f` we have `a/b xx (c/d + e/f)` = ______ + ______.

Verify the property x + y = y + x of rational numbers by taking

`x = (-2)/5, y = (-9)/10`

Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.

`x = (-1)/2, y = 3/4, z = 1/4`