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Free Grade 3 Introducing Imaginary Unit Common Errors Lessons

Free Grade 3 lessons for Introducing Imaginary Unit Common Errors: 12 real questions with a full answer key and worked solutions. Metric units change by powers of 10: 10 mm in a cm, 100 cm in a m, 1000 m in a km. Multiply to convert to a smaller unit, divide to convert to a bigger one.

Price

Free

Difficulty

Stretch

Estimated time

20 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introducing imaginary unit common errors

    Explain introducing imaginary unit common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing imaginary unit common errors

    Calculate introducing imaginary unit common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing imaginary unit common errors

    Compare introducing imaginary unit common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introducing imaginary unit common errors

    Justify introducing imaginary unit common errors 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 Introducing Imaginary Unit Common Errors works

Metric units change by powers of 10: 10 mm in a cm, 100 cm in a m, 1000 m in a km. Multiply to convert to a smaller unit, divide to convert to a bigger one.

Key wordsmillimetrecentimetremetrekilogramlitreconvert

12 practice questions

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

  1. 1.Convert 7 km to m.[1]
  2. 2.Convert 3 cm to mm.[1]
  3. 3.Convert 2 kg to g.[1]
  4. 4.Convert 5 kg to g.[1]
  5. 5.Convert 2.2 kg to g.[2]
  6. 6.Convert 5.2 cm to mm.[2]
  7. 7.Convert 1.2 km to m.[2]
  8. 8.Convert 5.4 L to mL.[2]
  9. 9.Convert 6.4 m to cm.[3]
  10. 10.Convert 2.3 cm to mm.[3]
  11. 11.Convert 7.3 km to m.[3]
  12. 12.Convert 7.6 cm to mm.[3]
Show answers and working
  1. 1. 7000 m

    1 km = 1000 m. 7 × 1000 = 7000 m.

  2. 2. 30 mm

    1 cm = 10 mm. 3 × 10 = 30 mm.

  3. 3. 2000 g

    1 kg = 1000 g. 2 × 1000 = 2000 g.

  4. 4. 5000 g

    1 kg = 1000 g. 5 × 1000 = 5000 g.

  5. 5. 2200 g

    1 kg = 1000 g. 2.2 × 1000 = 2200 g.

  6. 6. 52 mm

    1 cm = 10 mm. 5.2 × 10 = 52 mm.

  7. 7. 1200 m

    1 km = 1000 m. 1.2 × 1000 = 1200 m.

  8. 8. 5400 mL

    1 L = 1000 mL. 5.4 × 1000 = 5400 mL.

  9. 9. 640 cm

    1 m = 100 cm. 6.4 × 100 = 640 cm.

  10. 10. 23 mm

    1 cm = 10 mm. 2.3 × 10 = 23 mm.

  11. 11. 7300 m

    1 km = 1000 m. 7.3 × 1000 = 7300 m.

  12. 12. 76 mm

    1 cm = 10 mm. 7.6 × 10 = 76 mm.

Worked examples

Easy example

Convert 7 cm to mm.

  1. 1 cm = 10 mm.
  2. 7 × 10 = 70 mm.
  3. Answer: 70 mm
Medium example

Convert 8.1 km to m.

  1. 1 km = 1000 m.
  2. 8.1 × 1000 = 8100 m.
  3. Answer: 8100 m
Hard example

Convert 5.7 cm to mm.

  1. 1 cm = 10 mm.
  2. 5.7 × 10 = 57 mm.
  3. Answer: 57 mm

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Divides when converting to a smaller unit.

    Correction: Smaller units mean more of them — multiply.

  • Uses 100 for every conversion.

    Correction: Learn which pairs use 10, 100 or 1000.

Teacher tips

  • · Keep a conversion staircase on the wall.

Parent tips

  • · Weigh fruit at the shop and convert kg to g.

Real-life applications

  • · Cooking, measuring height, reading road signs.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

COLLEGE-BOARD COL-615.1 — Mapped statement covering Introducing Imaginary Unit Common Errors.AQA AQA-144.2 — Mapped statement covering Introducing Imaginary Unit Common Errors.

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Frequently asked

Is this Grade 3 Introducing Imaginary Unit Common Errors 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 Introducing Imaginary Unit Word Problems, Introducing Imaginary Unit Techniques, Real Numbers. 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 Introducing Imaginary Unit Common Errors?
Move on to Working with Imaginary Unit, Imaginary Unit in Context, which build directly on this idea.

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