Free Grade 3 Working with Introducing Adding Decimals Common Errors: Step-by-step Method Lessons
Free Grade 3 lessons for Working with Introducing Adding Decimals Common Errors: Step-by-step Method: 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing adding decimals common errors: step-by-step method
Identify working with introducing adding decimals common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing adding decimals common errors: step-by-step method
Explain working with introducing adding decimals common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing adding decimals common errors: step-by-step method
Calculate working with introducing adding decimals common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing adding decimals common errors: step-by-step method
Compare working with introducing adding decimals common errors: step-by-step method 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 Working with Introducing Adding Decimals Common Errors: Step-by-step Method 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.
- 1.92.3 − 32.3 = ?[1]
- 2.60.1 + 73.8 = ?[1]
- 3.38.6 + 3.6 = ?[1]
- 4.82.9 + 92 = ?[1]
- 5.8.45 − 1.87 = ?[2]
- 6.0.2 + 1.69 = ?[2]
- 7.1.05 + 1.6 = ?[2]
- 8.7.37 − 0.2 = ?[2]
- 9.0.76 × 8 = ?[3]
- 10.0.584 × 4 = ?[3]
- 11.0.736 × 9 = ?[3]
- 12.0.544 × 2 = ?[3]
Show answers and working
1. 60
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 60.
2. 133.9
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 133.9.
3. 42.2
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 42.2.
4. 174.9
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 174.9.
5. 6.58
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 6.58.
6. 1.89
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 1.89.
7. 2.65
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 2.65.
8. 7.17
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 7.17.
9. 6.08
Ignore the decimal: 760 × 8 = 6080. Put back 3 decimal places: 6.08.
10. 2.336
Ignore the decimal: 584 × 4 = 2336. Put back 3 decimal places: 2.336.
11. 6.624
Ignore the decimal: 736 × 9 = 6624. Put back 3 decimal places: 6.624.
12. 1.088
Ignore the decimal: 544 × 2 = 1088. Put back 3 decimal places: 1.088.
Worked examples
71.9 − 33.6 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 1 decimal place.
- Subtract as whole numbers: 38.3.
- Answer: 38.3
3.04 − 1.58 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 2 decimal places.
- Subtract as whole numbers: 1.46.
- Answer: 1.46
0.625 × 7 = ?
- Ignore the decimal: 625 × 7 = 4375.
- Put back 3 decimal places: 4.375.
- Answer: 4.375
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.
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