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Name
Reteaching
1-3
Exponents and Place Value
54
base
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.
54 5 5 5 5 625
The base (5) is used as a factor the exponent (4) number of times.
To evaluate an exponential number: 63
Write the base as a factor the number of
times shown by the exponent.
First write the base: 4
Count the number of times the base is
used as a factor. This is the exponent. 47
63 ⴝ 6 ⴛ 6 ⴛ 6 ⴝ 216
To write the expanded form of a number using exponents:
Write the number in expanded form.
52,965 ⴝ (5 ⴛ 10,000) ⴙ (2 × 1,000) ⴙ (9 ⴛ 100) ⴙ (6 ⴛ 10) ⴙ (5 ⴛ 1)
Write the place values as powers of 10.
52,965 ⴝ (5 ⴛ 104) ⴙ (2 ⴛ 103) ⴙ (9 ⴛ 102) ⴙ (6 ⴛ 101) ⴙ (5 ⴛ 100)
Tip: Any number raised to the first power equals that number. 81 ⴝ 8
Write each power as a product and evaluate the expression.
1. 94
2. 45
Write each product in exponential form.
3. 3 3 3 3 3
4. 7 7 7 7 7 7 7 7
Write the number in expanded form using exponents.
5. 74,271 6. Number Sense Explain the difference between 46 and 64.
© Pearson Education, Inc. 6
Reteaching 1-3
To write a product in exponential form:
4ⴛ4ⴛ4ⴛ4ⴛ4ⴛ4ⴛ4
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Topic 1