Operations with Rational Numbers Quiz

Grade 7 · Math · Quiz

Practice computing with positive and negative fractions, decimals, and integers.

Questions

1. What is -5 + (-9)?

   1. 4
   2. -4
   3. 14
   4. -14
   Show answer

   Answer: -14

   When adding two negatives, add the absolute values and keep the negative sign: 5 + 9 = 14, so -5 + (-9) = -14.

2. What is 3/8 - 5/8?

   1. -2/8
   2. -1/4
   3. 2/8
   4. 1/4
   Show answer

   Answer: -1/4

   3/8 - 5/8 = -2/8, which simplifies to -1/4.

3. What is (-1/2) ÷ (3/4)?

   1. -3/8
   2. -2/3
   3. 3/8
   4. 2/3
   Show answer

   Answer: -2/3

   (-1/2) ÷ (3/4) = (-1/2) × (4/3) = -4/6 = -2/3.

4. Which of the following is NOT a rational number?

   1. 0.333...
   2. -5
   3. √2
   4. 7/4
   Show answer

   Answer: √2

   √2 is irrational — it cannot be expressed as a ratio of two integers. The others are all rational.

5. What is -2.5 × 4?

   1. -10
   2. 10
   3. -6.5
   4. -1
   Show answer

   Answer: -10

   Negative × positive = negative. 2.5 × 4 = 10, so -2.5 × 4 = -10.

6. A football team loses 3.5 yards on each of 4 consecutive plays. What is the total change in yards?

   1. -7 yards
   2. -14 yards
   3. 14 yards
   4. -10.5 yards
   Show answer

   Answer: -14 yards

   -3.5 yards × 4 plays = -14 yards total change.

7. The absolute value of -6 is -6.

   Show answer

   Answer: False

   Absolute value is always non-negative. |-6| = 6, not -6.

8. What is 2/3 + 1/6? Write your answer as a simplified fraction.

   Show answer

   Answer: 5/6

   2/3 = 4/6. Then 4/6 + 1/6 = 5/6. This fraction is already in simplest form.

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