7th Grade Multiplying and Dividing Rational Numbers Quiz: 10 Questions with Explanations

A \(40\)B \(-13\)C \(3\)D \(-40\)

Different signs give a negative product. Adding the numbers is a common mistake.

A \(-8\)B \(49\)C \(8\)D \(-49\)

Two negatives give a positive quotient: \(56 \div 7 = 8\).

A \(24\)B \(-24\)C \(-10\)D \(10\)

There are four negative factors, an even number, so the product is positive.

A \(-\frac{9}{32}\)B \(-2\)C \(-\frac{1}{2}\)D \(2\)

\(-\frac{3}{4} \times \frac{8}{3} = -\frac{24}{12} = -2\). Multiplying instead of using the reciprocal gives -9/32.

A \(-0.2\)B \(0.2\)C \(0.02\)D \(2\)

Two negatives give a positive, and \(4 \times 5 = 20\) with two decimal places gives 0.20.

A \(7 \div 0\)B \(0 \div 7\)C \(-7 \div 1\)D \(0 \times 7\)

Division by 0 is undefined. Zero divided by a nonzero number is 0.

A \(0.437\)B \(2.2857\)C \(0.0437\)D \(0.4375\)

Divide 7 by 16 to get 0.4375, which stops, so it terminates.

A \(\frac{3}{16}\)B \(\frac{5}{6}\)C \(\frac{9}{20}\)D \(\frac{11}{25}\)

\(\frac{5}{6} = 0.8333…\) repeats. The denominators 16, 20, and 25 have only the prime factors 2 and 5, so those decimals stop.

A \(9\) metersB \(-7.5\) metersC \(-9\) metersD \(-4\) meters

\(-1.5 \times 6 = -9\). The negative sign shows downward movement.

A \(-1\)B \(-3\)C \(1\)D \(-13\)

The sum is \(-3\), and \(-3 \div 3 = -1\).