Fraction Classroom · 2.2.0 · Student pages
Why are 0.6 and 0.60 equal?
Repartition tenths into hundredths without changing the whole or the shaded amount.
Anonymous group code: __________ Date: __________
Discuss the opening question
Work through the explanation
example. Does writing 0.60 instead of 0.6 make the amount larger?
- Shade six parts of a whole divided into ten equal parts. Leave the four unshaded tenths visible.
- Split every tenth into ten equal pieces, including the unshaded parts. The whole now contains one hundred equal pieces.
- The six shaded tenths contain sixty hundredths. The shaded endpoint and the reference whole have not moved.
- Write 6/10 = 60/100, then 0.6 = 0.60. A final zero can extend the notation without changing value; a zero inserted before the 6 would move it to another place.
Worked example: No. Six tenths and sixty hundredths describe the same share of the same whole.
Practise, then check independently
Use p1–p3 for practice. Try e1 without help. Show how your place-value units or model support the result.