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 × z) = (x × y) × z by taking:

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

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

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

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

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

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

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

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

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