Name the Property of Multiplication of Rational Numbers Illustrated by the Following Statements: 13 − 17 × 1 = 13 − 17 = 1 × 13 − 17

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

\[\frac{13}{- 17} \times 1 = \frac{13}{- 17} = 1 \times \frac{13}{- 17}\]

Sum

Existence of identity for multiplication

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

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 \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]

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

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)/3, y = (-5)/6`

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

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

Name the property used in the following.

`-2/3 xx [3/4 + (-1)/2] = [(-2)/3 xx 3/4] + [(-2)/3 xx (-1)/2]`