Four operations of decimals

Advanced Math 5 · Unit 10 · decimal-four-operations · Teacher edition

decimal-four-operations
Name ______________________________Date ______________
  1. 1.

    Compute 4.8+3.754.8 + 3.75.

    Answer: ______________

  2. 2.

    Compute 1.25÷0.41.25 \div 0.4.

    Answer: ______________

  3. 3.

    A square tile has sides of 0.30.3 m. What is its area, in m²?

    1. (A)

      0.0090.009

    2. (B)

      0.090.09

    3. (C)

      0.60.6

    4. (D)

      0.90.9

    5. (E)

      99

Answer key — Four operations of decimals

  1. 1.
    8.55decimal-four-operations-01

    4.80+3.75=8.554.80 + 3.75 = \mathbf{8.55}.

  2. 2.
    3.125decimal-four-operations-02

    1.25÷0.4=12.5÷4=3.1251.25 \div 0.4 = 12.5 \div 4 = \mathbf{3.125}. Sense check: 0.40.4 is less than 11, so the answer is bigger than 1.251.25; and 3×0.4=1.23 \times 0.4 = 1.2, close to 1.251.25. ✓

  3. 3.
    (B)

    0.090.09

    decimal-four-operations-03

    0.3×0.3=0.090.3 \times 0.3 = 0.09 m²: one place plus one place is two places. Sense check: 0.3<10.3 < 1, so 0.3×0.30.3 \times 0.3 must be less than 0.30.3, which rules out 0.90.9. Answer 0.09\mathbf{0.09}. (0.60.6 is 0.3+0.30.3 + 0.3; 99 and 0.0090.009 have the wrong number of decimal places.)