Free Grade 3 Ordering Numbers Lessons
Free Grade 3 lessons for 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
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain ordering numbers
Explain ordering numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate ordering numbers
Calculate ordering numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare ordering numbers
Compare ordering numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify ordering numbers
Justify 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 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 0 in 102?[1]
- 2.What is the value of the digit 3 in 931?[1]
- 3.What is the value of the digit 9 in 929?[1]
- 4.What is the value of the digit 0 in 400?[1]
- 5.What is the value of the digit 9 in 6,819?[2]
- 6.What is the value of the digit 7 in 7,586?[2]
- 7.What is the value of the digit 3 in 3,179?[2]
- 8.What is the value of the digit 4 in 3,047?[2]
- 9.What is the value of the digit 0 in 589,401?[3]
- 10.What is the value of the digit 5 in 50,326?[3]
- 11.What is the value of the digit 3 in 689,355?[3]
- 12.What is the value of the digit 8 in 748,045?[3]
Show answers and working
1. 0
Count places from the right: the 0 sits in the tens column. 0 × 10 = 0
2. 30
Count places from the right: the 3 sits in the tens column. 3 × 10 = 30
3. 900
Count places from the right: the 9 sits in the hundreds column. 9 × 100 = 900
4. 0
Count places from the right: the 0 sits in the ones column. 0 × 1 = 0
5. 9
Count places from the right: the 9 sits in the ones column. 9 × 1 = 9
6. 7,000
Count places from the right: the 7 sits in the thousands column. 7 × 1,000 = 7,000
7. 3,000
Count places from the right: the 3 sits in the thousands column. 3 × 1,000 = 3,000
8. 40
Count places from the right: the 4 sits in the tens column. 4 × 10 = 40
9. 0
Count places from the right: the 0 sits in the tens column. 0 × 10 = 0
10. 50,000
Count places from the right: the 5 sits in the ten thousands column. 5 × 10,000 = 50,000
11. 300
Count places from the right: the 3 sits in the hundreds column. 3 × 100 = 300
12. 8,000
Count places from the right: the 8 sits in the thousands column. 8 × 1,000 = 8,000
Worked examples
What is the value of the digit 6 in 161?
- Count places from the right: the 6 sits in the tens column.
- 6 × 10 = 60
- Answer: 60
What is the value of the digit 4 in 4,060?
- Count places from the right: the 4 sits in the thousands column.
- 4 × 1,000 = 4,000
- Answer: 4,000
What is the value of the digit 4 in 346,407?
- Count places from the right: the 4 sits in the ten thousands column.
- 4 × 10,000 = 40,000
- Answer: 40,000
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 Ordering Numbers
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 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, Digits. 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 Ordering Numbers?
- Move on to The Number Line, Expanded Form, Standard Form, Word Form, which build directly on this idea.
Related resources
Stuck on Ordering Numbers? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor