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Grade 7

1.05 Expanded form using powers of 10

Worksheet
Expanded form with powers
1

Write out each of the following as a basic numeral:

a
10^1
b
10^2
c
10^3
d
10^4
e
10^5
f
10^6
2

How many zeros should we use when writing 10^9 as a basic numeral? Explain your answer.

3

Find the number expressed by the following:

a
2 \times 10^{5}
b
3 \times 10^{2}
c
7 \times 10^{3}
d
1 \times 10^{4}
e
8 \times 10^{1}
f
6 \times 10^{6}
g
3 \times 1
h
5 \times 10^{7}
4

Find the number expressed by the following:

a
3 \times 10^{4} + 7 \times 10^{3}
b
1 \times 10^{3} + 4 \times 10^{1}
c
2 \times 10^{3} + 3 \times 10^{1}
d
2 \times 10^{5} + 8 \times 10^{2}
e
4 \times 10^{2} + 1 \times 10^{1}
f
3 \times 10^{1} + 5 \times 1
g
7 \times 10^{3} + 6\times 10^{2}+4 \times 10^{1}
h
3 \times 10^{2} + 2 \times 10^{1} +5 \times 1
i
6 \times 10^{4}+3 \times 10^{2} + 5 \times 1
j
3 \times 10^{4} + 2 \times 10^{3} + 9 \times 10^{1} + 5 \times 1
k
2 \times 10^{5} + 5 \times 10^{4} + 6 \times 10^{3} + 7 \times 10^{1}
l
2 \times 10^{4} + 2 \times 10^{3} + 7 \times 10^{2} + 7 \times 10^{1} + 6 \times 1
m
5 \times 10^{4} + 7 \times 10^{3} + 0 \times 10^{2} + 2 \times 10^{1} + 1 \times 1
n
9 \times 10^{5} + 4 \times 10^{4} + 7 \times 10^{3} + 1 \times 10^{2} + 6 \times 10^1 + 6 \times 1
5

Express the following numbers in expanded form using powers of ten:

a
60
b
100
c
1000
d
3000
e
7000
f
200
g
8000
h
60\,000
i
80\,000
j
700\,000
k
200\,000
l
3\,000\,000
6

Express the following numbers in expanded form using powers of ten:

a
2487
b
2200
c
8003
d
6803
e
7024
f
6265
g
23\,000
h
92\,003
i
33\,057
j
30\,006
k
62\,487
l
124\,465
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Outcomes

7.B1.1

Represent and compare whole numbers up to and including one billion, including in expanded form using powers of ten, and describe various ways they are used in everyday life.

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