Year 7 - Rounding and estimation - Free practice

Year 7 Rounding and Estimation Worksheets & Practice

Round decimals, estimate answers and check whether calculations make sense.

Quick answer

How do you round decimals and use estimation to check answers?

To round a decimal, look at the digit immediately after the place you are rounding to: if it is 5 or more, round up; if it is 4 or less, round down. For example, 3.867 rounded to 2 decimal places is 3.87. To check an answer, estimate first by rounding each number to its leading digit, then compare.

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Six questions across Foundation, Standard and Extension, with full worked solutions, written to the Australian Curriculum.

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Worked examples

Year 7 rounding and estimation: worked examples

Three examples, from a standard question to a worded problem. Have a go at each one before you open the solution.

Example 1 · Rounding decimals to a given decimal place
Round $47.3862$ to 2 decimal places.
Show worked solution
Key idea: Look at the digit in the third decimal place to decide whether to round up or keep the second decimal place the same.
1. The second decimal place digit is $8$ .
2. The third decimal place digit is $6$ , which is $5$ or more, so round up.
3. $47.3862$ rounded to 2 decimal places is $47.39$ .
Answer: $47.39$
Example 2 · Estimating a sum using rounding
Round each number to the nearest ten, then estimate $63.4 + 28.7 + 41.2$ .
Show worked solution
Key idea: Round each number to the nearest ten first, then add the rounded values to get the estimate.
1. $63.4$ rounded to the nearest ten is $60$ .
2. $28.7$ rounded to the nearest ten is $30$ .
3. $41.2$ rounded to the nearest ten is $40$ .
4. Estimate: $60 + 30 + 40 = 130$ .
Answer: $130$
Example 3 · Choosing appropriate accuracy in a real-world context
Layla is buying ribbon to decorate gift boxes. She measures the ribbon she needs for each box: $0.346$ m, $0.512$ m, and $0.279$ m. She adds these to find the total length of ribbon needed. Round each measurement to 1 decimal place, then find the total length to 1 decimal place, in metres.
Show worked solution
Key idea: Round each measurement to 1 decimal place before adding, then round the total to 1 decimal place.
1. $0.346$ m rounded to 1 decimal place is $0.3$ m.
2. $0.512$ m rounded to 1 decimal place is $0.5$ m.
3. $0.279$ m rounded to 1 decimal place is $0.3$ m.
4. Total: $0.3 + 0.5 + 0.3 = 1.1$ m.
Answer: $1.1$ m

Common mistakes

Where students usually lose marks

Rounding the wrong digit

To round $3.768$ to 1 decimal place, a student looks at the digit $6$ (the second decimal place) and rounds the whole number up to $4$ .

Always identify the correct decimal place first. To round to 1 decimal place, look only at the second decimal place digit to decide whether to round the first decimal place digit up or leave it the same.

Forgetting to round up when the next digit is exactly 5

A student rounds $2.450$ to 1 decimal place and writes $2.4$ , thinking only digits above $5$ cause rounding up.

The rule is: if the next digit is $5$ or more, round up. So $2.450$ rounded to 1 decimal place is $2.5$ .

Dropping a zero in a decimal answer

A student rounds $5.804$ to 2 decimal places and writes $5.8$ instead of $5.80$ .

When rounding to 2 decimal places, the answer must always show 2 decimal digits. Write $5.80$ , not $5.8$ , so the level of accuracy is clear.

Using the exact answer instead of an estimate to check reasonableness

A student checks whether $58.3 + 41.9 = 100.2$ is reasonable by recalculating the exact sum again.

To check reasonableness, use a quick estimate with rounded numbers. Round $58.3$ to $60$ and $41.9$ to $40$ , giving $60 + 40 = 100$ . Since $100.2$ is close to $100$ , the answer is reasonable.

Try one yourself

Your turn

Round $47.3851$ to 2 decimal places.

Got a different rounding and estimation question wrong? Upload it to Tuterly and get the worked solution and a fresh one to practise, free.

About this worksheet

Why we built it

Rounding and estimation are the Year 7 skills that help students decide how precise an answer needs to be and whether a calculated result is in the right ballpark. These worksheets work through rounding decimals to a chosen number of decimal places, choosing sensible accuracy for a given context, and using front-end or leading-digit estimation to check the reasonableness of computations.

What's covered

Sub-skills your student will practise

✓Rounding decimals to 1, 2 or 3 decimal places
✓Rounding to a given number of significant figures
✓Choosing appropriate accuracy for real-world contexts
✓Front-end and leading-digit estimation strategies
✓Using estimation to check the reasonableness of answers
✓Identifying when a computed result is unreasonable

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Frequently asked

Questions parents ask about rounding and estimation

What does 'appropriate rounding' mean in Year 7 maths?

It means choosing a level of precision that suits the situation. Rounding a price to the nearest cent is appropriate; rounding it to the nearest hundred dollars usually is not. Students learn to read context clues to decide how many decimal places make sense.

How is estimation different from rounding in Year 7?

Rounding adjusts a single number to a convenient value. Estimation uses rounded numbers to quickly calculate an approximate answer, which you then compare with your exact result to check it is reasonable.

Why does the curriculum ask students to check the reasonableness of computations?

A quick estimate catches errors like a misplaced decimal point or a wrong operation before they become a problem. It is a practical habit that applies well beyond the classroom, from grocery shopping to interpreting data.

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