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Free Grade 3 Rules and Methods in Introducing Place Value Common Errors Lessons

Free Grade 3 lessons for Rules and Methods in Introducing Place Value Common Errors: 12 real questions with a full answer key and worked solutions. The position of a digit decides its value. In 4,382 the 3 is worth 300 because it is in the hundreds column. Each column is worth ten times the one to its right.

Price

Free

Difficulty

Stretch

Estimated time

30 min

Total marks

24

Learning objectives

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

  • UnderstandExplain rules and methods in introducing place value common errors

    Explain rules and methods in introducing place value common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate rules and methods in introducing place value common errors

    Calculate rules and methods in introducing place value common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare rules and methods in introducing place value common errors

    Compare rules and methods in introducing place value common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify rules and methods in introducing place value common errors

    Justify rules and methods in introducing place value 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 Rules and Methods in Introducing Place Value Common Errors works

The position of a digit decides its value. In 4,382 the 3 is worth 300 because it is in the hundreds column. Each column is worth ten times the one to its right.

Key wordsdigitonestenshundredsthousandsplace value

12 practice questions

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

  1. 1.What is the value of the digit 9 in 796?[1]
  2. 2.What is the value of the digit 8 in 871?[1]
  3. 3.What is the value of the digit 4 in 429?[1]
  4. 4.What is the value of the digit 9 in 983?[1]
  5. 5.What is the value of the digit 9 in 2,996?[2]
  6. 6.What is the value of the digit 6 in 6,349?[2]
  7. 7.What is the value of the digit 0 in 6,010?[2]
  8. 8.What is the value of the digit 9 in 7,934?[2]
  9. 9.What is the value of the digit 6 in 906,062?[3]
  10. 10.What is the value of the digit 7 in 932,759?[3]
  11. 11.What is the value of the digit 7 in 96,783?[3]
  12. 12.What is the value of the digit 1 in 999,311?[3]
Show answers and working
  1. 1. 90

    Count places from the right: the 9 sits in the tens column. 9 × 10 = 90

  2. 2. 800

    Count places from the right: the 8 sits in the hundreds column. 8 × 100 = 800

  3. 3. 400

    Count places from the right: the 4 sits in the hundreds column. 4 × 100 = 400

  4. 4. 900

    Count places from the right: the 9 sits in the hundreds column. 9 × 100 = 900

  5. 5. 900

    Count places from the right: the 9 sits in the hundreds column. 9 × 100 = 900

  6. 6. 6,000

    Count places from the right: the 6 sits in the thousands column. 6 × 1,000 = 6,000

  7. 7. 0

    Count places from the right: the 0 sits in the hundreds column. 0 × 100 = 0

  8. 8. 900

    Count places from the right: the 9 sits in the hundreds column. 9 × 100 = 900

  9. 9. 60

    Count places from the right: the 6 sits in the tens column. 6 × 10 = 60

  10. 10. 700

    Count places from the right: the 7 sits in the hundreds column. 7 × 100 = 700

  11. 11. 700

    Count places from the right: the 7 sits in the hundreds column. 7 × 100 = 700

  12. 12. 10

    Count places from the right: the 1 sits in the tens column. 1 × 10 = 10

Worked examples

Easy example

What is the value of the digit 2 in 254?

  1. Count places from the right: the 2 sits in the hundreds column.
  2. 2 × 100 = 200
  3. Answer: 200
Medium example

What is the value of the digit 1 in 1,281?

  1. Count places from the right: the 1 sits in the thousands column.
  2. 1 × 1,000 = 1,000
  3. Answer: 1,000
Hard example

What is the value of the digit 8 in 64,838?

  1. Count places from the right: the 8 sits in the hundreds column.
  2. 8 × 100 = 800
  3. Answer: 800

Interactive practice

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

Common mistakes

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

  • Gives the digit instead of its value (says 3 instead of 300).

    Correction: Ask: how many hundreds is that? Then write it as a full number.

  • Forgets zero as a placeholder (writes 4,050 as 45).

    Correction: Use a place-value chart and fill every empty column with 0.

Teacher tips

  • · Build numbers with base-ten blocks before writing them.

Parent tips

  • · Read big numbers on receipts and ask what each digit is worth.

Real-life applications

  • · Reading prices, house numbers and big numbers in the news.

Assessment objectives

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

OCR OCR-243.1 — Mapped statement covering Rules and Methods in Introducing Place Value Common Errors.CAMBRIDGE CAM-485.2 — Mapped statement covering Rules and Methods in Introducing Place Value Common Errors.

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What should a learner already know before this?
Start with Key Vocabulary of Introducing Place Value Common Errors, Introduction to Introducing Place Value Common Errors, Introducing Place Value Word Problems. 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 Rules and Methods in Introducing Place Value Common Errors?
Move on to Working with Introducing Place Value Common Errors, Introducing Place Value Common Errors in Examinations, Introducing Place Value Essentials, Introducing Place Value Techniques, which build directly on this idea.

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