Worksheet

1

State the number of significant figures in the following numbers:

a

108\,486

b

5105

c

0.20

d

10.20

e

84.00

f

0.007\,1930

g

0.004\,58

h

2.0058

i

2.84

j

0.063

k

0.087\,700

l

54\,100

m

157\,422.856\,760

2

State the smallest possible number of significant figures in the following numbers:

a

1\,500\,000

b

26\,500

c

1\,060\,000

d

82\,420\,000

3

A rainfall gauge has markings every 10\text{ mL}. If 369\text{ mL} of rain fell in this gauge, to how many significant figures would the rain be recorded?

4

Beth just bought a house for \$858\,400. When asked for the price by her friend, she said she paid around \$860\,000. To how many significant figures did Beth round the price in her answer?

5

Consider the number 1083.

a

Round 1083 to:

i

One significant figure

ii

Two significant figures

b

Find the difference between these two rounded values.

6

Round the following numbers to two significant figures:

a

2584

b

10\,694

c

9249

d

215.99

e

0.7218

f

0.0297

g

4.95

h

0.006\,037\,736

7

Round the following numbers to three significant figures:

a

1771

b

461\,585

c

6484

d

20\,994

e

9248

f

539.99

g

0.5628

h

0.073\,582

i

323\,385.794\,850

8

Round the following numbers to four significant figures:

a

801\,600\,713

b

0.060\,070\,047

9

Round the following numbers to five significant figures:

a

645\,129

b

7231.0108

10

Express the fraction \dfrac{13}{7} as a decimal to five significant figures.

11

Express the fraction \dfrac{2}{35} as a decimal to four significant figures.

12

Calculate the following and give your answers to an appropriate number of significant figures:

a

1.4 \times 1.41

b

3.9488 \times 1.21

c

\dfrac{7.8}{2.65}

d

\dfrac{6.1236}{1.93}

13

Use your calculator to round the following to three significant figures:\dfrac{\left(9.45\right)^{9} + 8 \pi}{\sqrt{\left(\dfrac{3}{2} + 5^{2}\right)}}

14

A number has been rounded to two significant figures. If the rounded number is 4500, find the largest possible integer value of the original number.

15

A number has been rounded to two significant figures. If the rounded number is 8700, find the largest possible integer value of the original number.

16

The population of a small town has been reported as 5000 people.

a

Could the population of the town have been rounded to two significant figure? Explain your answer.

b

If the population number has been rounded to two significant figures, state the largest and smallest populations.

c

If the population number has been rounded to one significant figure, state the largest and smallest populations.

Sign up to access worksheet

Get full access to our content with a Mathspace account.