Name the Property of Multiplication of Rational Numbers Illustrated by the Following Statements: − 11 16 × 16 − 11 = 1

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

\[\frac{- 11}{16} \times \frac{16}{- 11} = 1\]

Sum

Existence of multiplicative inverse

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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:

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:

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`

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

For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z).

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 = 1/2, y = 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?