Fraction Classroom · 2.2.0 · Student pages

Divide by ten without losing a placeholder

Make each place-value unit one tenth as large and keep any empty places needed to record it.

Anonymous group code: __________   Date: __________

The second row is one tenth of the first. No nonzero digit is discarded.OnesTenthsHundredthsThousandths36000360
The second row is one tenth of the first. No nonzero digit is discarded.

Discuss the opening question

start. What happens when 3.6 is divided into ten equal shares?

Work through the explanation

example. What happens when 3.6 is divided into ten equal shares?

  1. Read 3.6 as three ones and six tenths. Keep both contributions visible.
  2. Divide each contribution by ten: three ones become three tenths, and six tenths become six hundredths.
  3. Write 0.36 and multiply it by ten to recover 3.6. The zero before the point names zero whole units.
  4. When the result has an empty tenths place, record a zero there too. For example, 0.4 ÷ 10 = 0.04.

Worked example: Each share is 0.36. Three ones become three tenths per share, and six tenths become six hundredths per share.

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. Calculate 4.8 ÷ 10.

p2. Calculate 0.7 ÷ 10.

p3. Calculate 6 ÷ 100.

e1. Calculate 0.08 ÷ 10.

Explain a new situation

transfer. How can multiplication check the result of 2.5 ÷ 100?