Free Grade 3 Place Value in Context Lesson Plans
Free Grade 3 lesson plans for Place Value in Context: 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain place value in context
Explain place value in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate place value in context
Calculate place value in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare place value in context
Compare place value in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify place value in context
Justify place value in context 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 Place Value in Context 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 4 in 493?[1]
- 2.What is the value of the digit 7 in 740?[1]
- 3.What is the value of the digit 4 in 134?[1]
- 4.What is the value of the digit 1 in 851?[1]
- 5.What is the value of the digit 4 in 3,420?[2]
- 6.What is the value of the digit 9 in 7,926?[2]
- 7.What is the value of the digit 9 in 8,988?[2]
- 8.What is the value of the digit 9 in 1,697?[2]
- 9.What is the value of the digit 4 in 764,099?[3]
- 10.What is the value of the digit 3 in 258,033?[3]
- 11.What is the value of the digit 6 in 256,892?[3]
- 12.What is the value of the digit 1 in 263,681?[3]
Show answers and working
1. 400
Count places from the right: the 4 sits in the hundreds column. 4 × 100 = 400
2. 700
Count places from the right: the 7 sits in the hundreds column. 7 × 100 = 700
3. 4
Count places from the right: the 4 sits in the ones column. 4 × 1 = 4
4. 1
Count places from the right: the 1 sits in the ones column. 1 × 1 = 1
5. 400
Count places from the right: the 4 sits in the hundreds column. 4 × 100 = 400
6. 900
Count places from the right: the 9 sits in the hundreds column. 9 × 100 = 900
7. 900
Count places from the right: the 9 sits in the hundreds column. 9 × 100 = 900
8. 90
Count places from the right: the 9 sits in the tens column. 9 × 10 = 90
9. 4,000
Count places from the right: the 4 sits in the thousands column. 4 × 1,000 = 4,000
10. 3
Count places from the right: the 3 sits in the ones column. 3 × 1 = 3
11. 6,000
Count places from the right: the 6 sits in the thousands column. 6 × 1,000 = 6,000
12. 1
Count places from the right: the 1 sits in the ones column. 1 × 1 = 1
Worked examples
What is the value of the digit 0 in 770?
- Count places from the right: the 0 sits in the ones column.
- 0 × 1 = 0
- Answer: 0
What is the value of the digit 9 in 9,798?
- Count places from the right: the 9 sits in the thousands column.
- 9 × 1,000 = 9,000
- Answer: 9,000
What is the value of the digit 0 in 240,500?
- Count places from the right: the 0 sits in the tens column.
- 0 × 10 = 0
- Answer: 0
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 Place Value in Context 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 Working with Place Value, 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 Place Value in Context?
- Move on to Reading Whole Numbers, Digits, Comparing Numbers, Ordering Numbers, which build directly on this idea.
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