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Year 7 · Practice

Place Value, Rounding & Estimation — Year 7 Practice Questions

7 marks · Suggested time: 15 minutes

Practise place value, rounding and estimation with these Year 7 questions. Reveal each worked solution after you have tried it.

Questions

1
[1 marks] Easy Place value

In the number 47.62, what is the value of the digit 6?

2
[1 marks] Easy Powers of 10

Work out 3.4 × 100.

3
[1 marks] Medium Rounding decimals

Round 4.482 to one decimal place.

4
[1 marks] Medium Rounding whole numbers

Round 6843 to the nearest 100.

5
[2 marks] Medium Estimation

Estimate the answer to 312 × 18 by rounding each number to one significant figure.

6
[1 marks] Medium Rounding decimals

Round 0.0734 to two decimal places.

Answers & Worked Solutions

Question 1 Solution

Step 1: The 6 is the first digit after the decimal point.

Step 2: That position is tenths, so the 6 is worth 0.6.

Answer: 6 tenths (0.6)

Question 2 Solution

Step 1: Multiplying by 100 moves every digit two places to the left.

Step 2: 3.4 becomes 340.

Answer: 340

Question 3 Solution

Step 1: Look at the second decimal digit, which is 8.

Step 2: 8 is 5 or more, so round the first decimal place up from 4 to 5: 4.5.

Answer: 4.5

Question 4 Solution

Step 1: Look at the tens digit, which is 4.

Step 2: 4 is less than 5, so round down: 6800.

Answer: 6800

Question 5 Solution

Step 1: Round 312 to 300 and 18 to 20.

Step 2: 300 × 20 = 6000.

Answer: 6000

Question 6 Solution

Step 1: Look at the third decimal digit, which is 3.

Step 2: 3 is less than 5, so round down: 0.07.

Answer: 0.07

Frequently Asked Questions

Why estimate when I have the exact answer?

An estimate is a quick check. If your exact answer is far from the estimate, you have probably made a slip somewhere.

Build strong foundations in Place Value, Rounding & Estimation

A free trial class with Teacher Rig helps your Year 7 child master Place Value, Rounding & Estimation now — so IGCSE Maths feels familiar, not frightening, later.

Next step: IGCSE

Heading toward IGCSE? See how Place Value, Rounding & Estimation develops in IGCSE Number (Cambridge 0580)