Name the Property of Multiplication of Rational Numbers Illustrated by the Following Statements: 2 13 × 0 = 0 = 0 × 2 13

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

\[\frac{2}{13} \times 0 = 0 = 0 \times \frac{2}{13}\]

Sum

Multiplication by 0

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

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

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

By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]

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

so that the product may be 24?

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] +` ______.

For all rational numbers a, b and c, a(b + c) = ab + bc.

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)/5, y = 2/15, z = (-3)/10`