7th Grade Adding and Subtracting Rational Numbers Quiz: 10 Questions with Explanations

A \(5\)B \(-13\)C \(-5\)D \(13\)

The signs differ, so subtract sizes: 9 – 4 = 5, and the negative number is larger in size, so the answer is \(-5\).

A \(-11\)B \(-5\)C \(11\)D \(5\)

\(-3 – (-8) = -3 + 8 = 5\). Subtracting a negative adds.

A \(6 + (-11)\)B \(6 + 11\)C \(-6 + 11\)D \(11 – 6\)

Subtracting 11 is the same as adding the opposite, \(-11\).

A 12B 2C -12D 35

\(|5 – (-7)| = 12\). Distance is never negative.

A \(-\frac{3}{4}\)B \(-\frac{1}{4}\)C \(\frac{1}{4}\)D \(-\frac{2}{6}\)

\(-\frac{2}{4} + \frac{1}{4} = -\frac{1}{4}\). Adding the denominators is a common mistake.

A \(1.25\)B \(-1.25\)C \(-6.25\)D \(6.25\)

Both numbers are negative after rewriting: \(-2.5 + (-3.75) = -6.25\).

A \(-7\) feetB \(-17\) feetC \(7\) feetD \(17\) feet

Rising adds: \(-12 + 5 = -7\).

A \(5\) degreesB \(-13\) degreesC \(-5\) degreesD \(13\) degrees

A drop means subtract: \(-4 – 9 = -13\).

A \(-3.4\)B \(0\)C \(\frac{1}{3}.4\)D \(3.4\)

The additive inverse is the opposite, and \(-3.4 + 3.4 = 0\).

A \(5\)B \(11\)C \(-11\)D \(-5\)

Absolute values are distances from 0, so \(8 + 3 = 11\).