Exponents And Place Value Worksheet

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Name
Reteaching
1-3
Exponents and Place Value
4
base
5
exponent
The number 5 is the base. The base is the factor that is being multiplied.
The number 4 is the exponent. The exponent tells how many times the base is used as
a factor.
4
5
5
5
5
5
625
The base (5) is used as a factor the exponent (4) number of times.
3
To write a product in exponential form:
To evaluate an exponential number: 6
4
4
4
4
4
4
4
Write the base as a factor the number of
First write the base: 4
times shown by the exponent.
3
Count the number of times the base is
6
6
6
6
216
7
used as a factor. This is the exponent. 4
To write the expanded form of a number using exponents:
Write the number in expanded form.
52,965
(5
10,000)
(2 × 1,000)
(9
100)
(6
10)
(5
1)
Write the place values as powers of 10.
4
3
2
1
0
52,965
(5
10
)
(2
10
)
(9
10
)
(6
10
)
(5
10
)
1
Tip: Any number raised to the first power equals that number. 8
8
Write each power as a product and evaluate the expression.
4
5
1. 9
2. 4
Write each product in exponential form.
3. 3
4. 7
3
3
3
3
7
7
7
7
7
7
7
Write the number in expanded form using exponents.
5. 74,271
6
4
6. Number Sense Explain the difference between 4
and 6
.
40
Topic 1

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