Decimals

Advanced Math 4 · Unit 12 · decimal-place-value · Teacher edition

decimal-place-value
Name ______________________________Date ______________
  1. 1.

    A number has 22 ones, 33 tenths, 00 hundredths, and 77 thousandths. Write it as a decimal.

    Answer: ______________

  2. 2.

    Four pieces of string measure 0.70.7 m, 0.680.68 m, 34\dfrac{3}{4} m, and 0.60.6 m. Which length is the second longest? Enter it as a decimal.

    Answer: ______________

  3. 3.

    Which comparison is true?

    1. (A)

      0.27>0.30.27 > 0.3

    2. (B)

      0.50>0.50.50 > 0.5

    3. (C)

      0.07>0.10.07 > 0.1

    4. (D)

      0.36>0.40.36 > 0.4

    5. (E)

      0.8>0.790.8 > 0.79

Answer key — Decimals

  1. 1.
    2.307decimal-place-value-01

    2+0.3+0.00+0.007=2.3072 + 0.3 + 0.00 + 0.007 = \mathbf{2.307}. Writing 2.372.37 would put the 77 in the hundredths place.

  2. 2.
    0.7decimal-place-value-02

    As hundredths: 0.60<0.68<0.70<0.750.60 < 0.68 < 0.70 < 0.75. The longest is 34\frac{3}{4} m and the second longest is 0.7\mathbf{0.7} m.

  3. 3.
    (E)

    0.8>0.790.8 > 0.79

    decimal-place-value-03

    0.8=0.800.8 = 0.80 and 8080 hundredths is more than 7979 hundredths, so 0.8>0.79\mathbf{0.8 > 0.79}. (0.27<0.300.27 < 0.30 and 0.36<0.400.36 < 0.40 — comparing 2727 with 33 ignores place value; 0.50=0.50.50 = 0.5, the zero adds nothing; 0.07<0.100.07 < 0.10.)