Free Grade 3 Introducing Estimation Lessons
Free Grade 3 lessons for Introducing Estimation: 12 real questions with a full answer key and worked solutions. Rounding gives a simpler number that is close to the real one. Look at the digit just right of the place you round to: 5 or more rounds up, 4 or less rounds down.
Free
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing estimation
Identify introducing estimation accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing estimation
Explain introducing estimation accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing estimation
Calculate introducing estimation accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing estimation
Compare introducing estimation 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 Estimation works
Rounding gives a simpler number that is close to the real one. Look at the digit just right of the place you round to: 5 or more rounds up, 4 or less rounds down.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Round 649 to the nearest 10.[1]
- 2.Round 788 to the nearest 10.[1]
- 3.Round 493 to the nearest 10.[1]
- 4.Round 849 to the nearest 10.[1]
- 5.Round 8,282 to the nearest 10.[2]
- 6.Round 9,733 to the nearest 100.[2]
- 7.Round 3,923 to the nearest 100.[2]
- 8.Round 6,819 to the nearest 10.[2]
- 9.Round 98,299 to the nearest 1,000.[3]
- 10.Round 41,714 to the nearest 100.[3]
- 11.Round 21,398 to the nearest 1,000.[3]
- 12.Round 86,734 to the nearest 100.[3]
Show answers and working
1. 650
Find the two multiples of 10 either side: 640 and 650. Look at the digit to the right of the rounding place: 5 or more rounds up. 649 rounds to 650.
2. 790
Find the two multiples of 10 either side: 780 and 790. Look at the digit to the right of the rounding place: 5 or more rounds up. 788 rounds to 790.
3. 490
Find the two multiples of 10 either side: 490 and 500. Look at the digit to the right of the rounding place: 5 or more rounds up. 493 rounds to 490.
4. 850
Find the two multiples of 10 either side: 840 and 850. Look at the digit to the right of the rounding place: 5 or more rounds up. 849 rounds to 850.
5. 8,280
Find the two multiples of 10 either side: 8280 and 8290. Look at the digit to the right of the rounding place: 5 or more rounds up. 8282 rounds to 8280.
6. 9,700
Find the two multiples of 100 either side: 9700 and 9800. Look at the digit to the right of the rounding place: 5 or more rounds up. 9733 rounds to 9700.
7. 3,900
Find the two multiples of 100 either side: 3900 and 4000. Look at the digit to the right of the rounding place: 5 or more rounds up. 3923 rounds to 3900.
8. 6,820
Find the two multiples of 10 either side: 6810 and 6820. Look at the digit to the right of the rounding place: 5 or more rounds up. 6819 rounds to 6820.
9. 98,000
Find the two multiples of 1000 either side: 98000 and 99000. Look at the digit to the right of the rounding place: 5 or more rounds up. 98299 rounds to 98000.
10. 41,700
Find the two multiples of 100 either side: 41700 and 41800. Look at the digit to the right of the rounding place: 5 or more rounds up. 41714 rounds to 41700.
11. 21,000
Find the two multiples of 1000 either side: 21000 and 22000. Look at the digit to the right of the rounding place: 5 or more rounds up. 21398 rounds to 21000.
12. 86,700
Find the two multiples of 100 either side: 86700 and 86800. Look at the digit to the right of the rounding place: 5 or more rounds up. 86734 rounds to 86700.
Worked examples
Round 718 to the nearest 10.
- Find the two multiples of 10 either side: 710 and 720.
- Look at the digit to the right of the rounding place: 5 or more rounds up.
- 718 rounds to 720.
- Answer: 720
Round 1,621 to the nearest 10.
- Find the two multiples of 10 either side: 1620 and 1630.
- Look at the digit to the right of the rounding place: 5 or more rounds up.
- 1621 rounds to 1620.
- Answer: 1,620
Round 95,342 to the nearest 100.
- Find the two multiples of 100 either side: 95300 and 95400.
- Look at the digit to the right of the rounding place: 5 or more rounds up.
- 95342 rounds to 95300.
- Answer: 95,300
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Looks at the wrong digit to decide whether to round up.
Correction: Underline the rounding place, then circle the digit to its right.
Changes the digits after the rounding place to anything other than 0.
Correction: Every digit after the rounding place becomes 0.
Teacher tips
- · Use a number line showing the two multiples either side.
Parent tips
- · Estimate the shopping bill to the nearest dollar.
Real-life applications
- · Estimating the total of a shopping trip before paying.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Estimation 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 Rounding. 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 Estimation?
- Move on to Working with Estimation, Estimation in Context, Reading Whole Numbers, Place Value, which build directly on this idea.
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