ISEE Middle Level Quantitative : Distributive Property

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #11 : Distributive Property

\(\displaystyle a\) is the multiplicative inverse of \(\displaystyle b\). Which is the greater quantity?

(a) \(\displaystyle 2ab\)

(b) \(\displaystyle 2\)

Possible Answers:

It is impossible to determine which is greater from the information given

(a) is the greater quantity

(b) is the greater quantity

(a) and (b) are equal

Correct answer:

(a) and (b) are equal

Explanation:

\(\displaystyle a\) is the multiplicative inverse of \(\displaystyle b\), so, by definition, \(\displaystyle ab= 1\). Therefore,

\(\displaystyle 2ab = 2 (ab) = 2 \cdot 1 = 2\).

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