Round 68 to 1 significant figure.

Find the first significant figure: 68 Look at the next digit: 68 Write the rounded number: 68 70 Answer: 70

Round 34 to 1 significant figure.

Find the first significant figure: 34 Look at the next digit: 34 Write the rounded number: 34 30 Answer: 30

Round 452 to 1 significant figure.

Find the first significant figure: 452 Look at the next digit: 452 Write the rounded number: 452 500 Answer: 500

Round 7.3 to 1 significant figure.

Find the first significant figure: 7.3 Look at the next digit: 7.3 Write the rounded number: 7.3 7 Answer: 7

Round 0.058 to 1 significant figure.

Find the first significant figure: 0.058 Look at the next digit: 0.058 Write the rounded number: 0.058 0.06 Answer: 0.06

Estimation and checking Worked Solutions — GCSE Maths

Fully worked, step-by-step solutions to GCSE Estimation and checking questions. See exactly how to solve problems on rounding to 1 s.f., decimals, estimating, multiplication.

rounding to 1 s.f.decimalsestimatingmultiplicationadditionsubtraction

GCSE Foundation70 questionsStep-by-step solutions

Question 1

1 markeasy

Round

68

1

significant figure.

Worked solution

Find the first significant figure
$68$
The first significant figure of $68$ is the $6$ , in the tens column.
Look at the next digit
$6\underline{8}$
The next digit is 8. Since 8 ≥ 5, round the tens digit up.
Write the rounded number
$68 \approx 70$
$6$ tens becomes $7$ tens and the units digit becomes $0$ , so $68$ ≈ $70$ .

Answer

70

Question 2

1 markeasy

Round

34

1

significant figure.

Worked solution

Find the first significant figure
$34$
The first significant figure of $34$ is the $3$ , in the tens column.
Look at the next digit
$3\underline{4}$
The next digit is $4$ . Since $4 < 5$ , round down (leave the tens digit).
Write the rounded number
$34 \approx 30$
The tens digit stays $3$ and the units become $0$ , so $34$ ≈ $30$ .

Answer

30

Question 3

1 markeasy

Round

452

1

significant figure.

Worked solution

Find the first significant figure
$452$
The first significant figure is $4$ , in the hundreds column.
Look at the next digit
$4\underline{5}2$
The next digit is 5. Since 5 ≥ 5, round the hundreds digit up.
Write the rounded number
$452 \approx 500$
$4$ hundreds becomes $5$ hundreds and the rest become $0$ , so $452$ ≈ $500$ .

Answer

500

Question 4

1 markeasy

Round

7.3

1

significant figure.

Worked solution

Find the first significant figure
$7.3$
The first significant figure is $7$ , in the units column.
Look at the next digit
$7.\underline{3}$
The next digit is $3$ . Since $3 < 5$ , round down.
Write the rounded number
$7.3 \approx 7$
The units digit stays $7$ , so $7.3$ ≈ $7$ .

Answer

7

Question 5

1 markeasy

Round

0.058

1

significant figure.

Worked solution

Find the first significant figure
$0.058$
Leading zeros are not significant; the first significant figure is $5$ , in the hundredths column.
Look at the next digit
$0.0\underline{5}8$
The next digit is 8. Since 8 ≥ 5, round the hundredths digit up.
Write the rounded number
$0.058 \approx 0.06$
$5$ hundredths becomes $6$ hundredths, so $0.058$ ≈ $0.06$ .

Answer

0.06

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