Fraction Classroom · 2.2.0 · Student pages
Add decimals by matching their units
Align ones with ones and tenths with tenths, then regroup a complete set of ten hundredths.
Anonymous group code: __________ Date: __________
Discuss the opening question
Work through the explanation
example. How can you explain 0.7 + 0.26 without treating 7 and 26 as the same unit?
- Estimate first: 0.7 plus about 0.3 should be close to 1. An answer near 0.3 cannot fit.
- Write 0.70 above 0.26 in a place-value chart. The final zero names an empty hundredths place.
- Combine units: seven tenths and two tenths make nine tenths; zero hundredths and six hundredths make six hundredths.
- Read the result as nine tenths and six hundredths: 0.96. In other examples, exchange ten hundredths for one tenth before writing the result.
Worked example: Rename seven tenths as seventy hundredths. Seventy hundredths plus twenty-six hundredths is ninety-six hundredths, or 0.96.
Practise, then check independently
Use p1–p3 for practice. Try e1 without help. Show how your place-value units or model support the result.