Name the Property of Multiplication of Rational Numbers Illustrated by the Following Statements: 7 4 × ( − 8 3 + − 13 12 ) = 7 4 × − 8 3 + 7 4 × − 13 12

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

\[\frac{7}{4} \times \left( \frac{- 8}{3} + \frac{- 13}{12} \right) = \frac{7}{4} \times \frac{- 8}{3} + \frac{7}{4} \times \frac{- 13}{12}\]

Sum

Distributivity of multiplication over addition

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Write five rational numbers greater than − 2

Verify the property: x × y = y × x 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:

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] +` ______.

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

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

Name the property used in the following.

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

Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.

Who walked farther, Nancy or Megha?