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Free Grade 3 Comparing Decimals Lesson Plans

Free Grade 3 lesson plans for Comparing Decimals: 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.

Price

Free

Difficulty

Core

Estimated time

35 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • UnderstandExplain comparing decimals

    Explain comparing decimals accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate comparing decimals

    Calculate comparing decimals accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare comparing decimals

    Compare comparing decimals accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify comparing decimals

    Justify comparing decimals 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 works

Decimals extend place value past the ones: tenths, hundredths, thousandths. Line up decimal points when adding or subtracting.

Key wordsdecimal pointtenthshundredthsdecimal place

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.61.9 + 2.3 = ?[1]
  2. 2.48 − 7.7 = ?[1]
  3. 3.71 + 87.8 = ?[1]
  4. 4.74.1 − 64.1 = ?[1]
  5. 5.4.93 + 3.11 = ?[2]
  6. 6.4.98 − 1.16 = ?[2]
  7. 7.8.64 − 3.98 = ?[2]
  8. 8.1.1 + 9.92 = ?[2]
  9. 9.0.646 × 9 = ?[3]
  10. 10.0.42 × 8 = ?[3]
  11. 11.0.388 × 3 = ?[3]
  12. 12.0.065 × 6 = ?[3]
Show answers and working
  1. 1. 64.2

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 64.2.

  2. 2. 40.3

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 40.3.

  3. 3. 158.8

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 158.8.

  4. 4. 10

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 10.

  5. 5. 8.04

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 8.04.

  6. 6. 3.82

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 3.82.

  7. 7. 4.66

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 4.66.

  8. 8. 11.02

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 11.02.

  9. 9. 5.814

    Ignore the decimal: 646 × 9 = 5814. Put back 3 decimal places: 5.814.

  10. 10. 3.36

    Ignore the decimal: 420 × 8 = 3360. Put back 3 decimal places: 3.36.

  11. 11. 1.164

    Ignore the decimal: 388 × 3 = 1164. Put back 3 decimal places: 1.164.

  12. 12. 0.39

    Ignore the decimal: 65 × 6 = 390. Put back 3 decimal places: 0.39.

Worked examples

Easy example

89.7 + 52.5 = ?

  1. Line up the decimal points.
  2. Fill gaps with zeros so both have 1 decimal place.
  3. Add as whole numbers: 142.2.
  4. Answer: 142.2
Medium example

3.75 + 3.18 = ?

  1. Line up the decimal points.
  2. Fill gaps with zeros so both have 2 decimal places.
  3. Add as whole numbers: 6.93.
  4. Answer: 6.93
Hard example

0.921 × 2 = ?

  1. Ignore the decimal: 921 × 2 = 1842.
  2. Put back 3 decimal places: 1.842.
  3. Answer: 1.842

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.

NATIONAL-CURRICULUM NAT-487.1 — Mapped statement covering Comparing Decimals.IB IB-576.2 — Mapped statement covering Comparing Decimals.

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Frequently asked

Is this Grade 3 Comparing Decimals lesson plan really free?
Yes. Every lesson plans 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 Reading Decimals, Decimal Place Value, Fractions. Each one has its own free lesson, worksheet and quiz.
How is the lesson plan 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?
Move on to Rounding Decimals, Adding Decimals, Multiplying Decimals, Dividing Decimals, which build directly on this idea.

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