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Fraction Classroom · 2.2.0 · Student pages

Read the scale before naming a decimal point

Find the value of one interval from the labelled endpoints, then count the travelled intervals.

Anonymous group code: __________   Date: __________

One hundredth per interval. The marked point is three intervals to the right of 0.30.0.30.310.320.330.340.350.360.370.380.390.40.33
One hundredth per interval. The marked point is three intervals to the right of 0.30.

Discuss the opening question

start. A line from 0.3 to 0.4 is split into ten equal intervals. What is the third point after 0.3?

Work through the explanation

example. A line from 0.3 to 0.4 is split into ten equal intervals. What is the third point after 0.3?

  1. Read both endpoints: the span from 0.3 to 0.4 is 0.1, not one whole.
  2. Partition 0.1 into ten equal distances. Each distance is 0.01. Eleven tick marks enclose the ten intervals.
  3. Start at 0.30 and travel three intervals: 0.31, 0.32, 0.33. Do not count the starting tick as the first travelled step.
  4. Check that 0.33 lies between the labelled endpoints and is closer to 0.3. Label the point at the endpoint of the third interval.

Worked example: 0.33. The displayed span is one tenth, so each of its ten equal intervals is one hundredth.

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. A line from 0.2 to 0.3 has ten equal intervals. What is one interval worth?

p2. Start at 0.2 and move five intervals of 0.01. Name the point.

p3. A line from 0 to 1 has ten equal intervals. What is one interval worth?

e1. Start at 0.7 and move six intervals of 0.01. Name the point.

Explain a new situation

transfer. A line from 0.40 to 0.50 has five equal intervals. Explain why each interval is 0.02.