Free Grade 3 Working with Place Value Lesson Plans
Free Grade 3 lesson plans for Working with Place Value: 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.
Free
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with place value
Identify working with place value accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with place value
Explain working with place value accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with place value
Calculate working with place value accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with place value
Compare working with place value 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 Working with Place Value 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.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.What is the value of the digit 7 in 772?[1]
- 2.What is the value of the digit 9 in 179?[1]
- 3.What is the value of the digit 7 in 788?[1]
- 4.What is the value of the digit 1 in 481?[1]
- 5.What is the value of the digit 7 in 7,057?[2]
- 6.What is the value of the digit 5 in 5,020?[2]
- 7.What is the value of the digit 3 in 3,116?[2]
- 8.What is the value of the digit 6 in 6,643?[2]
- 9.What is the value of the digit 2 in 532,542?[3]
- 10.What is the value of the digit 4 in 407,443?[3]
- 11.What is the value of the digit 8 in 987,785?[3]
- 12.What is the value of the digit 9 in 798,395?[3]
Show answers and working
1. 70
Count places from the right: the 7 sits in the tens column. 7 × 10 = 70
2. 9
Count places from the right: the 9 sits in the ones column. 9 × 1 = 9
3. 700
Count places from the right: the 7 sits in the hundreds column. 7 × 100 = 700
4. 1
Count places from the right: the 1 sits in the ones column. 1 × 1 = 1
5. 7
Count places from the right: the 7 sits in the ones column. 7 × 1 = 7
6. 5,000
Count places from the right: the 5 sits in the thousands column. 5 × 1,000 = 5,000
7. 3,000
Count places from the right: the 3 sits in the thousands column. 3 × 1,000 = 3,000
8. 600
Count places from the right: the 6 sits in the hundreds column. 6 × 100 = 600
9. 2
Count places from the right: the 2 sits in the ones column. 2 × 1 = 2
10. 40
Count places from the right: the 4 sits in the tens column. 4 × 10 = 40
11. 80
Count places from the right: the 8 sits in the tens column. 8 × 10 = 80
12. 90,000
Count places from the right: the 9 sits in the ten thousands column. 9 × 10,000 = 90,000
Worked examples
What is the value of the digit 2 in 258?
- Count places from the right: the 2 sits in the hundreds column.
- 2 × 100 = 200
- Answer: 200
What is the value of the digit 2 in 3,524?
- Count places from the right: the 2 sits in the tens column.
- 2 × 10 = 20
- Answer: 20
What is the value of the digit 3 in 647,863?
- Count places from the right: the 3 sits in the ones column.
- 3 × 1 = 3
- Answer: 3
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.
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Frequently asked
- Is this Grade 3 Working with Place Value 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 Introducing Place Value, Reading Whole Numbers. 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 Working with Place Value?
- Move on to Place Value in Context, Reading Whole Numbers, Digits, Comparing Numbers, which build directly on this idea.
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