What does it mean?
Rounding answers “which nearby benchmark is closest?” rather than “what is the exact number?” To round 372 to a hundred, its neighbouring hundreds are 300 and 400. The halfway point is 350. Since 372 lies beyond that midpoint, it is closer to 400.
Find the two benchmark multiples and the midpoint. Below the midpoint choose the lower benchmark; at or above it choose the upper benchmark.
Learning goal: Round whole numbers to the nearest 10 and 100 using bounding multiples and midpoint reasoning. The grade is a suggested starting point; school sequences vary. Use the first worked example to check readiness, and Place value: what each digit is worth if an earlier idea needs revisiting.
See the idea
Read each diagram with its labels, then follow the worked examples. Practice questions include their own measurements and information.
Enlarge diagram to read the labels
Swipe across the enlarged diagram to read every label.
Enlarge diagram to read the labels
Swipe across the enlarged diagram to read every label.
Choose a method and explain why it works
Name the place you are rounding to before looking at digits. Write the lower benchmark, the upper benchmark and their midpoint. Compare the original number with the midpoint. For positive whole numbers exactly halfway, this guide uses the school convention of choosing the higher benchmark. Check that the result is a multiple of 10 or 100 as requested.
Key rule and when to use it
Choose the rounding place, locate the neighbouring multiples and compare with their midpoint. Apply the rule to the original number each time.
Worked examples, step by step
Example 1: Round 372 to the nearest hundred.
- Bounding hundreds: 300 and 400.
- Midpoint: 350.
- 372 is above 350.
- Round to 400.
Answer: 400
Example 2: Round 43 to the nearest 10.
- Bounding tens: 40 and 50.
- Midpoint: 45.
- 43 is below 45.
- Round to 40.
Answer: 40
Example 3: Round 649 separately to the nearest ten and nearest hundred.
- For tens, compare 640 and 650; midpoint 645. The result is 650.
- For hundreds, compare 600 and 700; midpoint 650. The original 649 is below it.
- The nearest hundred is 600. Do not round the already-rounded 650.
Common mistakes and important boundaries
Round from the original number each time. Rounding 249 to a ten gives 250, then rounding that to a hundred gives 300. But rounding 249 directly to a hundred gives 200. The first rounding changed which side of the hundred-midpoint the number was on.
A point to explain
The learner may use a digit rule without understanding the midpoint.
Compare an uncertain attempt with the closest worked example. Look at the meaning of each operation, unit and label before repeating the arithmetic.
Rounding to the Nearest 10 and 100 — practice
Work on paper first. Open each answer afterwards and compare the reasoning. Print the questions with or without the separate answer key; no account is required.
Name: ____________________ Date: __________
Which tens are around 64?
Answer and a way to check
60 and 70
60 < 64 < 70, so 60 and 70 are the bounding tens.
What is the midpoint between 70 and 80?
Show answer
75
Round 64 to the nearest 10.
Show answer
60
Round 75 to the nearest 10.
Show answer
80
Round 342 to the nearest 100.
Show answer
300
Why does 368 round to 400 to the nearest hundred?
Show answer
It is above 350 and closer to 400.
A child rounds 249 to 300 to the nearest hundred. Explain the error and give the correct rounded number.
Show answer
249 is below the midpoint 250, so it rounds to 200.
A number rounds to 500 to the nearest hundred. Which could it be?
Show answer
463
Rounding to the Nearest 10 and 100 — answer key
60 and 70 60 < 64 < 70, so 60 and 70 are the bounding tens.
75
60
80
300
It is above 350 and closer to 400.
249 is below the midpoint 250, so it rounds to 200.
463
Questions students and parents ask
Is 350 nearer 300 or 400?
It is equally far from both. For positive whole numbers this guide uses the school convention of rounding a halfway value upwards, so 350 rounds to 400.
Can several numbers round to the same hundred?
Yes. Using the midpoint convention here, whole numbers from 450 through 549 all round to 500 to the nearest hundred.
Is this a complete set of textbook exercise solutions?
No. This guide adapts BananaLearn’s own teaching examples and practice. It is not official NCERT material or a promise of the exact chapter sequence in a particular board, country or textbook edition.
What if the examples are still difficult?
Revisit Place value: what each digit is worth. Try the first example with its model, then attempt one fresh question independently. A correct copied answer is not evidence that the method can be used without support.
Help at home
Put three labels on paper: lower benchmark, midpoint and upper benchmark. Let your child place the number before saying a rounding rule.
Keep one example of the learner’s own working. A repeated difficulty across fresh questions can guide a discussion with their teacher; one short practice sheet does not establish a diagnosis or a full mastery profile.
Connect this idea to the next skill
About this guide
Based on BananaLearn’s Grade 3 course lesson “Round with Benchmarks”. The explanations have been adapted for independent reading; course diagrams are reused where they fit the idea, and missing classroom givens are made explicit in questions.
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