Free Grade 3 Comparing Decimals in Context Lessons
Free Grade 3 lessons for Comparing Decimals in Context: 12 real questions with a full answer key and worked solutions. Decimals extend place value past the ones: tenths, hundredths, thousandths. Line up decimal points when adding or subtracting.
Free
Stretch
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain comparing decimals in context
Explain comparing decimals in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate comparing decimals in context
Calculate comparing decimals in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare comparing decimals in context
Compare comparing decimals in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify comparing decimals in context
Justify comparing decimals in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Comparing Decimals in Context works
Decimals extend place value past the ones: tenths, hundredths, thousandths. Line up decimal points when adding or subtracting.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.59.1 + 8.4 = ?[1]
- 2.81.2 + 31.5 = ?[1]
- 3.76.9 + 60.7 = ?[1]
- 4.34.7 + 26.6 = ?[1]
- 5.8.46 − 1.32 = ?[2]
- 6.6.19 + 2.49 = ?[2]
- 7.9.09 + 4.42 = ?[2]
- 8.5.71 + 5.67 = ?[2]
- 9.0.852 × 2 = ?[3]
- 10.0.231 × 5 = ?[3]
- 11.0.614 × 9 = ?[3]
- 12.0.22 × 6 = ?[3]
Show answers and working
1. 67.5
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 67.5.
2. 112.7
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 112.7.
3. 137.6
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 137.6.
4. 61.3
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 61.3.
5. 7.14
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 7.14.
6. 8.68
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 8.68.
7. 13.51
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 13.51.
8. 11.38
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 11.38.
9. 1.704
Ignore the decimal: 852 × 2 = 1704. Put back 3 decimal places: 1.704.
10. 1.155
Ignore the decimal: 231 × 5 = 1155. Put back 3 decimal places: 1.155.
11. 5.526
Ignore the decimal: 614 × 9 = 5526. Put back 3 decimal places: 5.526.
12. 1.32
Ignore the decimal: 220 × 6 = 1320. Put back 3 decimal places: 1.32.
Worked examples
2.6 + 72.1 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 1 decimal place.
- Add as whole numbers: 74.7.
- Answer: 74.7
8.66 − 1.64 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 2 decimal places.
- Subtract as whole numbers: 7.02.
- Answer: 7.02
0.036 × 6 = ?
- Ignore the decimal: 36 × 6 = 216.
- Put back 3 decimal places: 0.216.
- Answer: 0.216
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Thinks 0.25 is bigger than 0.3 because 25 > 3.
Correction: Fill with zeros: 0.25 vs 0.30.
Lines up the last digits instead of the decimal points.
Correction: Decimal points go in one straight column.
Teacher tips
- · Use money to make tenths and hundredths concrete.
Parent tips
- · Add up prices with cents together.
Real-life applications
- · Money, measurements, race times.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Comparing Decimals in Context
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Frequently asked
- Is this Grade 3 Comparing Decimals in Context lesson really free?
- Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Working with Comparing Decimals, Introducing Comparing Decimals, Reading Decimals. Each one has its own free lesson, worksheet and quiz.
- How is the lesson sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Comparing Decimals in Context?
- Move on to Decimal Place Value, Reading Decimals, Rounding Decimals, Adding Decimals, which build directly on this idea.
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