Fraction Classroom · 2.2.0 · Student pages

What does the zero in 0.04 do?

Keep tenths and hundredths in their places. Use a place-value chart to distinguish 0.4, 0.04 and 0.004.

Anonymous group code: __________   Date: __________

Read down the rows: 0.4, 0.04 and 0.004. The digit stays 4; its unit changes.OnesTenthsHundredthsThousandths040000400004
Read down the rows: 0.4, 0.04 and 0.004. The digit stays 4; its unit changes.

Discuss the opening question

start. A learner writes four hundredths as 0.4. What has changed?

Work through the explanation

example. A learner writes four hundredths as 0.4. What has changed?

  1. Name one whole before comparing any models. A tenth is one of ten equal parts; a hundredth is one of one hundred equal parts of that same whole.
  2. Write 0.4 and 0.04 in a chart with the decimal point between ones and tenths. Read them as four tenths and four hundredths.
  3. Rename four tenths as forty hundredths. Compare forty hundredths with four hundredths: the first amount is ten times the second.
  4. Contrast 0.04 with 0.040. Adding an empty thousandths place at the end does not move the 4; removing the tenths placeholder does.

Worked example: 0.04 is four hundredths. Writing 0.4 makes the 4 worth four tenths, ten times as much.

Practise, then check independently

Use p1–p3 for practice. Try e1 without help. Show how your place-value units or model support the result.

p1. Write six hundredths as a decimal.

p2. What is the value of the 7 in 0.07?

p3. How many times as large is 0.8 as 0.08?

e1. Write five thousandths as a decimal.

Explain a new situation

transfer. Explain why 0.09 and 0.090 are equal but 0.09 and 0.9 are not.