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Free Grade 3 Introduction to Working with Estimation Techniques Lessons

Free Grade 3 lessons for Introduction to Working with Estimation Techniques: 12 real questions with a full answer key and worked solutions. Rounding gives a simpler number that is close to the real one. Look at the digit just right of the place you round to: 5 or more rounds up, 4 or less rounds down.

Price

Free

Difficulty

Core

Estimated time

30 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introduction to working with estimation techniques

    Explain introduction to working with estimation techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introduction to working with estimation techniques

    Calculate introduction to working with estimation techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introduction to working with estimation techniques

    Compare introduction to working with estimation techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introduction to working with estimation techniques

    Justify introduction to working with estimation 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 Introduction to Working with Estimation Techniques works

Rounding gives a simpler number that is close to the real one. Look at the digit just right of the place you round to: 5 or more rounds up, 4 or less rounds down.

Key wordsroundnearestestimateapproximately

12 practice questions

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

  1. 1.Round 535 to the nearest 10.[1]
  2. 2.Round 146 to the nearest 10.[1]
  3. 3.Round 964 to the nearest 10.[1]
  4. 4.Round 753 to the nearest 10.[1]
  5. 5.Round 8,405 to the nearest 10.[2]
  6. 6.Round 6,645 to the nearest 10.[2]
  7. 7.Round 5,024 to the nearest 100.[2]
  8. 8.Round 8,526 to the nearest 100.[2]
  9. 9.Round 46,981 to the nearest 100.[3]
  10. 10.Round 73,651 to the nearest 100.[3]
  11. 11.Round 29,521 to the nearest 100.[3]
  12. 12.Round 66,155 to the nearest 100.[3]
Show answers and working
  1. 1. 540

    Find the two multiples of 10 either side: 530 and 540. Look at the digit to the right of the rounding place: 5 or more rounds up. 535 rounds to 540.

  2. 2. 150

    Find the two multiples of 10 either side: 140 and 150. Look at the digit to the right of the rounding place: 5 or more rounds up. 146 rounds to 150.

  3. 3. 960

    Find the two multiples of 10 either side: 960 and 970. Look at the digit to the right of the rounding place: 5 or more rounds up. 964 rounds to 960.

  4. 4. 750

    Find the two multiples of 10 either side: 750 and 760. Look at the digit to the right of the rounding place: 5 or more rounds up. 753 rounds to 750.

  5. 5. 8,410

    Find the two multiples of 10 either side: 8400 and 8410. Look at the digit to the right of the rounding place: 5 or more rounds up. 8405 rounds to 8410.

  6. 6. 6,650

    Find the two multiples of 10 either side: 6640 and 6650. Look at the digit to the right of the rounding place: 5 or more rounds up. 6645 rounds to 6650.

  7. 7. 5,000

    Find the two multiples of 100 either side: 5000 and 5100. Look at the digit to the right of the rounding place: 5 or more rounds up. 5024 rounds to 5000.

  8. 8. 8,500

    Find the two multiples of 100 either side: 8500 and 8600. Look at the digit to the right of the rounding place: 5 or more rounds up. 8526 rounds to 8500.

  9. 9. 47,000

    Find the two multiples of 100 either side: 46900 and 47000. Look at the digit to the right of the rounding place: 5 or more rounds up. 46981 rounds to 47000.

  10. 10. 73,700

    Find the two multiples of 100 either side: 73600 and 73700. Look at the digit to the right of the rounding place: 5 or more rounds up. 73651 rounds to 73700.

  11. 11. 29,500

    Find the two multiples of 100 either side: 29500 and 29600. Look at the digit to the right of the rounding place: 5 or more rounds up. 29521 rounds to 29500.

  12. 12. 66,200

    Find the two multiples of 100 either side: 66100 and 66200. Look at the digit to the right of the rounding place: 5 or more rounds up. 66155 rounds to 66200.

Worked examples

Easy example

Round 185 to the nearest 10.

  1. Find the two multiples of 10 either side: 180 and 190.
  2. Look at the digit to the right of the rounding place: 5 or more rounds up.
  3. 185 rounds to 190.
  4. Answer: 190
Medium example

Round 1,003 to the nearest 10.

  1. Find the two multiples of 10 either side: 1000 and 1010.
  2. Look at the digit to the right of the rounding place: 5 or more rounds up.
  3. 1003 rounds to 1000.
  4. Answer: 1,000
Hard example

Round 20,780 to the nearest 1,000.

  1. Find the two multiples of 1000 either side: 20000 and 21000.
  2. Look at the digit to the right of the rounding place: 5 or more rounds up.
  3. 20780 rounds to 21000.
  4. Answer: 21,000

Interactive practice

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

Common mistakes

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

  • Looks at the wrong digit to decide whether to round up.

    Correction: Underline the rounding place, then circle the digit to its right.

  • Changes the digits after the rounding place to anything other than 0.

    Correction: Every digit after the rounding place becomes 0.

Teacher tips

  • · Use a number line showing the two multiples either side.

Parent tips

  • · Estimate the shopping bill to the nearest dollar.

Real-life applications

  • · Estimating the total of a shopping trip before paying.

Assessment objectives

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

OCR OCR-787.1 — Mapped statement covering Introduction to Working with Estimation Techniques.CAMBRIDGE CAM-179.2 — Mapped statement covering Introduction to Working with Estimation Techniques.

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Frequently asked

Is this Grade 3 Introduction to Working with Estimation Techniques 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 Estimation Essentials. 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 Introduction to Working with Estimation Techniques?
Move on to Key Vocabulary of Working with Estimation Techniques, Rules and Methods in Working with Estimation Techniques, Working with Working with Estimation Techniques, Working with Estimation Techniques in Examinations, which build directly on this idea.

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