Fraction Classroom · 2.2.0 · Student pages
Round decimals by finding the nearest endpoint
Use two neighbouring tenths and their midpoint to explain rounding, including values close to the next whole.
Anonymous group code: __________ Date: __________
Discuss the opening question
Work through the explanation
example. Why does 0.96 round to 1.0 to the nearest tenth?
- To round to the nearest tenth, identify the tenth immediately below and the tenth immediately above the number.
- Locate their midpoint. Between 0.9 and 1.0, the midpoint is 0.95.
- Place 0.96 beyond that midpoint, nearer to 1.0. Record 1.0 so the requested tenths place remains visible.
- For nonnegative midpoint cases in these tasks, use the classroom convention of rounding up. State that convention when the distances are equal.
Worked example: Its neighbouring tenths are 0.9 and 1.0. It is 0.04 away from 1.0 and 0.06 away from 0.9, so 1.0 is nearer.
Practise, then check independently
Use p1–p3 for practice. Try e1 without help. Show how your place-value units or model support the result.