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Grade 7 Math — Rational numbers

Place, compare, add and subtract numbers that can be written as one whole number over another.

Name: ________________________

  1. 1.Match each rational number to its opposite — the number the same distance from zero on the other side.

    • 3/4
    • -2/5
    • 1/2
    • -7
    • 5/6
    • -3/4
    • -1/2
    • -5/6
    • 7
    • 2/5

  2. 2.Write a rational number that lies exactly halfway between 1/2 and 3/4.

  3. 3.Tap where -5/4 sits.

    Mark the line with an X.

    -2.00-1.000.001.002.00

  4. 4.Tap where -1/2 sits.

    Mark the line with an X.

    -2.0-1.5-1.0-0.50.00.51.01.52.0

  5. 5.Every whole number is also a rational number. Why?

    • a) Because it is always positive
    • b) Because it can be written as a fraction with 1 on the bottom
    • c) Because it is always bigger than a fraction
    • d) Because it never has a decimal point

  6. 6.Put these rational numbers in order, smallest first.

    • 1
    • -1/4
    • 0
    • -1
    • 2/5
    • -3/2

  7. 7.-2/3 - 1/6 = ? Write your answer as a fraction.

  8. 8.-3/4 + 1/4 = ? Write your answer as a fraction.

Answer key — Grade 7 Math — Rational numbers

  1. 1. 3/4 → -3/4; -2/5 → 2/5; 1/2 → -1/2; -7 → 7; 5/6 → -5/6
  2. 2. 5/8
  3. 3. -1.25
  4. 4. -0.5
  5. 5. b) Because it can be written as a fraction with 1 on the bottom
  6. 6. 1. -3/2 2. -1 3. -1/4 4. 0 5. 2/5 6. 1
  7. 7. -5/6
  8. 8. -1/2