Place value for decimals, measures and integers · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

What each digit is worth

Mathematics · Number Representation & Place Value · ages 11-12
Name ______________________   Date ____________

  1. In 45.678, what does the 7 stand for?

    • 7 hundredths
    • 7 tenths
    • 7 thousandths
    • 7 ones

  2. In the number 3.45, what is the value of the digit 4?

    • 4 tenths (0.4)
    • 4 hundredths (0.04)
    • 4 ones (4)

  3. -5 is greater than -1.

    Circle one:   True   False

  4. The hop below starts at 0. What number does it land on?

    -3-2-10123?
    • 2
    • -2
    • -3

  5. This bar shows 3/4. If you placed 3/4 on a number line from 0 to 1, would it sit closer to 0 or closer to 1?

    • Closer to 0
    • Closer to 1
    • Exactly in the middle

  6. Jay says -4 is less than -1, but the absolute value of -4 is greater than that of -1. Is Jay right?

    Circle one:   True   False

  7. Which order from least to greatest is correct?

    • -2.5 < -3 < 0.75 < 1/2
    • -3 < -2.5 < 1/2 < 0.75
    • 1/2 < 0.75 < -2.5 < -3
    • -3 < 1/2 < -2.5 < 0.75

  8. In the number 7.283, which digit shows the hundredths?

    • 2
    • 3
    • 8

  9. Ben says 0.7 is smaller than 0.65 because 7 is a smaller number than 65. What is his mistake?

    • He is right, 0.7 is smaller
    • He mixed up tenths and hundredths
    • He compared the digits instead of the place value

  10. A number sits exactly halfway between -3 and -1 on the number line. What number is it?

    -4-3-2-10

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

What each digit is worth W1-mt_PsylzZ9lHW-s1

  1. 7 hundredths · The 7 is second after the point: hundredths.
  2. 4 tenths (0.4) · The first digit after the decimal point is tenths, so 4 is worth 4 tenths, or 0.4.
  3. False · -5 sits further left on the number line than -1, so -5 is smaller, not greater.
  4. -2 · The hop moves 2 steps to the left of 0, landing on -2.
  5. Closer to 1 · 3/4 is three of four equal parts, more than halfway, so it sits closer to 1.
  6. True · -4 sits left of -1, but its distance from zero (4) is greater than 1.
  7. -3 < -2.5 < 1/2 < 0.75 · -3 is leftmost, then -2.5, then 1/2 = 0.5, then 0.75.
  8. 8 · After the decimal point: 2 is tenths, 8 is hundredths, 3 is thousandths.
  9. He compared the digits instead of the place value · 0.7 equals 0.70. Comparing place by place, 70 hundredths is more than 65 hundredths, so 0.7 is bigger.
  10. -2 · Halfway between -3 and -1 is -2, one step from each end.
Worksheet · LightMySky