# Rounding to 1, 2 or 3 Significant Figures

In this worksheet, students practise rounding to 1, 2 or 3 significant figures.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Round/Approximate Numbers Appropriately

Difficulty level:

### QUESTION 1 of 10

Significant means important.

1 significant figure

In the number 4725, the number 4 is the most significant. It has the value 4000.

But 4725 is closer to 5000 than 4000.

Following the normal rules of rounding, 4725 becomes 5000 when rounded to 1 significant figure. Rounding to 1 significant figure is the least accurate way of rounding.

2 significant figures

Rounding to 2 significant figures is more accurate. We now look at the second number, and round accordingly.

4725 is closer to 4700 than 4800.

4725 is 4700 to 2 sig. figs.

3 significant figures

Rounding to 3 significant figures, we look at the third digit.

4725 is "closer" to 4730 than to 4720. (Remember 5 rounds up)

4725 rounds to 4730 to 3 sig. figs.

Common mistake

It is a common mistake to say that 4725 rounds to 5 to 1 sig. fig., instead of 5000.

The zeros here are important to get the place values correct. They are important but not significant.

Round the following number to 1, 2 and 3 significant figures.

4225

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
4000
B
4230
C
4200

Round the following number to 1, 2 and 3 significant figures.

1453

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
1450
B
1000
C
1500

Round the following number to 1, 2 and 3 significant figures.

6790

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
6790
B
7000
C
6800

Round the following number to 1, 2 and 3 significant figures.

3347

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
3350
B
3000
C
3300

Round the following number to 1, 2 and 3 significant figures.

3375

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
3380
B
3400
C
3000

Round the following number to 1, 2 and 3 significant figures.

1499

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
1500
B
1000
C
1500

Round the following number to 1, 2 and 3 significant figures.

9883

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
10000
B
9900
C
9880

Round the following number to 1, 2 and 3 significant figures.

5519

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
5500
B
5520
C
6000

Round the following number to 1, 2 and 3 significant figures.

1439

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
1000
B
1400
C
1440

Round the following number to 1, 2 and 3 significant figures.

7361

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
7360
B
7400
C
7000
• Question 1

Round the following number to 1, 2 and 3 significant figures.

4225

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
4000
B
4200
C
4230
• Question 2

Round the following number to 1, 2 and 3 significant figures.

1453

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
1000
B
1500
C
1450
• Question 3

Round the following number to 1, 2 and 3 significant figures.

6790

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
7000
B
6800
C
6790
• Question 4

Round the following number to 1, 2 and 3 significant figures.

3347

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
3000
B
3300
C
3350
• Question 5

Round the following number to 1, 2 and 3 significant figures.

3375

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
3000
B
3400
C
3380
• Question 6

Round the following number to 1, 2 and 3 significant figures.

1499

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
1000
B
1500
C
1500
• Question 7

Round the following number to 1, 2 and 3 significant figures.

9883

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
10000
B
9900
C
9880
• Question 8

Round the following number to 1, 2 and 3 significant figures.

5519

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
6000
B
5500
C
5520
• Question 9

Round the following number to 1, 2 and 3 significant figures.

1439

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
1000
B
1400
C
1440
• Question 10

Round the following number to 1, 2 and 3 significant figures.

7361

1 sig. fig.
 A
2 sig. fig.
 B
3 sig. fig.
 C

## Column B

A
7000
B
7400
C
7360
---- OR ----

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