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Free Grade 3 Decimal Place Value in Context Techniques Flashcards

Free Grade 3 flashcards for Decimal Place Value in Context Techniques: 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

Foundation

Estimated time

25 min

Total marks

24

Learning objectives

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

  • UnderstandExplain decimal place value in context techniques

    Explain decimal place value in context techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate decimal place value in context techniques

    Calculate decimal place value in context techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare decimal place value in context techniques

    Compare decimal place value in context techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify decimal place value in context techniques

    Justify decimal place value in context techniques 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 Decimal Place Value in Context Techniques 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. 1.43.3 − 39.3 = ?[1]
  2. 2.0.5 + 26.8 = ?[1]
  3. 3.7.5 + 15.8 = ?[1]
  4. 4.80.1 + 85.3 = ?[1]
  5. 5.8.4 + 3.75 = ?[2]
  6. 6.9.55 − 9.03 = ?[2]
  7. 7.2.27 + 3.05 = ?[2]
  8. 8.7.66 + 9.99 = ?[2]
  9. 9.0.569 × 7 = ?[3]
  10. 10.0.717 × 3 = ?[3]
  11. 11.0.635 × 5 = ?[3]
  12. 12.0.034 × 5 = ?[3]
Show answers and working
  1. 1. 4

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 4.

  2. 2. 27.3

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 27.3.

  3. 3. 23.3

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 23.3.

  4. 4. 165.4

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 165.4.

  5. 5. 12.15

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 12.15.

  6. 6. 0.52

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 0.52.

  7. 7. 5.32

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 5.32.

  8. 8. 17.65

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 17.65.

  9. 9. 3.983

    Ignore the decimal: 569 × 7 = 3983. Put back 3 decimal places: 3.983.

  10. 10. 2.151

    Ignore the decimal: 717 × 3 = 2151. Put back 3 decimal places: 2.151.

  11. 11. 3.175

    Ignore the decimal: 635 × 5 = 3175. Put back 3 decimal places: 3.175.

  12. 12. 0.17

    Ignore the decimal: 34 × 5 = 170. Put back 3 decimal places: 0.17.

Worked examples

Easy example

50.9 − 28.5 = ?

  1. Line up the decimal points.
  2. Fill gaps with zeros so both have 1 decimal place.
  3. Subtract as whole numbers: 22.4.
  4. Answer: 22.4
Medium example

7.66 + 1.34 = ?

  1. Line up the decimal points.
  2. Fill gaps with zeros so both have 2 decimal places.
  3. Add as whole numbers: 9.
  4. Answer: 9
Hard example

0.785 × 8 = ?

  1. Ignore the decimal: 785 × 8 = 6280.
  2. Put back 3 decimal places: 6.28.
  3. Answer: 6.28

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.

EDEXCEL EDE-447.1 — Mapped statement covering Decimal Place Value in Context Techniques.CBSE CBS-954.2 — Mapped statement covering Decimal Place Value in Context Techniques.

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Frequently asked

Is this Grade 3 Decimal Place Value in Context Techniques flashcards really free?
Yes. Every flashcards 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 Decimal Place Value in Context Essentials, Working with Decimal Place Value. Each one has its own free lesson, worksheet and quiz.
How is the flashcards 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 Decimal Place Value in Context Techniques?
Move on to Decimal Place Value in Context Word Problems, Decimal Place Value in Context Common Errors, Introducing Decimal Place Value, Working with Decimal Place Value, which build directly on this idea.

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