topic badge
AustraliaNSW
Stage 5.1-3

1.05 Metric prefixes

Worksheet
Metric prefixes
1

Determine whether the following is the same volume as 0.001 \text{ L}:

a

1 \text{ kL}

b

1 \text{ mL}

c

1 \text{ µL}

d

1 \text{ ML}

2

Determine whether the following is the same wattage as 1\,000\,000 \text{ W}:

a

1 \text{ kW}

b

1 \text{ μW}

c

1 \text{ MW}

d

1 \text{ GW}

3

Determine whether the following amounts is the same length of time as 8 \times 10^{ - 7 } \text{ s}:

a

0.8 \text{ µs}

b

0.8 \text{ ns}

c

8 \text{ µs}

d

8 \text{ ns}

e

800 \text{ µs}

f

800 \text{ ns}

4

Write down two amounts that have the same length of time as 6 \times 10^{ - 7 } \text{ s}:

Conversions
5

Convert the following to litres:

a
1.67 \text{ kL}
b

2000 \text{ mL}

c

5 \text{ kL}

d

240 \text{ mL}

6

Convert the following as specified:

a

68\,000 \, \text{mL} to L

b

52 \,\text{L} to mL

c

99\,000 \,\text{L} to kL

d

63 \,\text{kL} to L

e

0.4 \,\text{L} to mL

f

3.8 \,\text{mL} to L

g

1.67 \,\text{kL} to L

h

84.6 \,\text{ L} to kL

7

Convert the following to the indicated unit, expressing your answer in scientific notation:

a

3.3 \text { L} to millilitres

b

2.2 \times 10^{10} \text{ µg} to grams

c

2.8 \times 10^{12} \text{ µg} to grams

d

52 \text{ ms} to nanoseconds

e

49 \text{ ms} to nanoseconds

f

7.3 \times 10^{8} \text{ MW} to terawatts

g

5 \times 10^{5} \text{ dL} to hectolitres

h

3 \times 10^{7} \text{ dL} to hectolitres

i

3 \times 10^{ - 17 } \text{ Mg} to nanograms

j

4 \times 10^{ - 13 } \text{ Mg} to nanograms

Applications
8

Find the number of nanoseconds in one day. Write your answer in scientific notation.

9

Hobart's water supply's main source is the Derwent River, which holds 3600 \text{ ML} of water. Write your answer in scientific notation. How many hectolitres of water does this river hold?

10

The average bacteria in the human body is approximately 5 \text{ µm} long. A healthy human adult typically hosts around 7 \times 10^{13} bacteria. If this many bacteria were placed end-to-end in a line, how long would the line be in kilometres?

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

MA5.1-9MG

interprets very small and very large units of measurement, uses scientific notation, and rounds to significant figures

What is Mathspace

About Mathspace