StudyBrixFree worksheets, study guides and courses

Mathematics · Grades 3–6

Decimal place value without shortcuts

Tenths, hundredths and thousandths are different-sized units.

Make a worksheet

Understand the idea

Align places

Tenths, hundredths and thousandths are different-sized units.

Zeros can help

Appending zeros to the right of a terminating decimal does not change its value.

Estimate first

A rough answer helps detect misplaced decimal points.

Worked examples

Which value equals 0.60?

Six tenths is the same as sixty hundredths.

0.6

Write 7 tenths plus 4 hundredths as a decimal.

0.7 + 0.04 = 0.74.

0.74

Try it yourself

  1. Which is greatest: 0.8, 0.79, 0.805 or 0.08?

    1. 0.79
    2. 0.805
    3. 0.8
    4. 0.08

  2. Calculate 1.2 − 0.35.

  3. Which interval contains 3.047?

    1. between 3.04 and 3.05
    2. between 3.4 and 3.5
    3. between 3.00 and 3.01
    4. between 30 and 31

  4. Explain why 0.4 is not smaller than 0.35 merely because it has fewer digits.

Answers and marking notes

Answers and marking notes
  1. 0.805

    Write 0.800, 0.790, 0.805 and 0.080 to compare.

  2. 0.85

    1.20 − 0.35 = 0.85.

  3. between 3.04 and 3.05

    3.040 < 3.047 < 3.050.

  4. 0.4 = 0.40, which is greater than 0.35. Decimal length alone does not determine size.

    Credit a place-value or number-line justification.

Preview material · independent educational review required. Grade bands are approximate, not official curriculum alignment.