Free Grade 3 Introducing Ordering Numbers Lessons
Free Grade 3 lessons for Introducing Ordering Numbers: 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing ordering numbers
Identify introducing ordering numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing ordering numbers
Explain introducing ordering numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing ordering numbers
Calculate introducing ordering numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing ordering numbers
Compare introducing ordering numbers 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 Ordering Numbers 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 436?[1]
- 2.What is the value of the digit 2 in 205?[1]
- 3.What is the value of the digit 5 in 675?[1]
- 4.What is the value of the digit 4 in 145?[1]
- 5.What is the value of the digit 0 in 6,070?[2]
- 6.What is the value of the digit 4 in 7,614?[2]
- 7.What is the value of the digit 8 in 6,838?[2]
- 8.What is the value of the digit 7 in 7,347?[2]
- 9.What is the value of the digit 9 in 636,549?[3]
- 10.What is the value of the digit 1 in 906,010?[3]
- 11.What is the value of the digit 3 in 123,319?[3]
- 12.What is the value of the digit 8 in 254,288?[3]
Show answers and working
1. 400
Count places from the right: the 4 sits in the hundreds column. 4 × 100 = 400
2. 200
Count places from the right: the 2 sits in the hundreds column. 2 × 100 = 200
3. 5
Count places from the right: the 5 sits in the ones column. 5 × 1 = 5
4. 40
Count places from the right: the 4 sits in the tens column. 4 × 10 = 40
5. 0
Count places from the right: the 0 sits in the hundreds column. 0 × 100 = 0
6. 4
Count places from the right: the 4 sits in the ones column. 4 × 1 = 4
7. 8
Count places from the right: the 8 sits in the ones column. 8 × 1 = 8
8. 7,000
Count places from the right: the 7 sits in the thousands column. 7 × 1,000 = 7,000
9. 9
Count places from the right: the 9 sits in the ones column. 9 × 1 = 9
10. 10
Count places from the right: the 1 sits in the tens column. 1 × 10 = 10
11. 3,000
Count places from the right: the 3 sits in the thousands column. 3 × 1,000 = 3,000
12. 80
Count places from the right: the 8 sits in the tens column. 8 × 10 = 80
Worked examples
What is the value of the digit 8 in 883?
- Count places from the right: the 8 sits in the hundreds column.
- 8 × 100 = 800
- Answer: 800
What is the value of the digit 5 in 8,625?
- Count places from the right: the 5 sits in the ones column.
- 5 × 1 = 5
- Answer: 5
What is the value of the digit 5 in 456,183?
- Count places from the right: the 5 sits in the ten thousands column.
- 5 × 10,000 = 50,000
- Answer: 50,000
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
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.
Every free resource for Introducing Ordering Numbers
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Frequently asked
- Is this Grade 3 Introducing Ordering Numbers 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 Comparing 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 Ordering Numbers?
- Move on to Working with Ordering Numbers, Ordering Numbers in Context, Reading Whole Numbers, Place Value, which build directly on this idea.
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