Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
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Warm Up Evaluate.
1000
1. 103
1
2. 100
3. 102 102
10,000
4.
1000
5.
1
3
Problem of the Day Find two different numbers
for the values of x and y that will make xy and
yx equal.
2 and 4
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Learn to evaluate expressions with negative
exponents and to evaluate the zero exponent.
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10
10
10
10
Look for a pattern in the table to extend what
you know about exponents to include negative
exponents.
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Additional Example 1A 1B Using a Pattern to
Evaluate Negative Exponents
Evaluate the powers of 10.
A. 102
Extend the pattern from the table.
Multiply. Write as a decimal.
B. 101
Extend the pattern from the table.
Multiply. Write as a decimal.
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Check It Out Example 1A
Evaluate the powers of 10.
108
Extend the pattern from the table.
Multiply.
Write as a decimal.
0.00000001
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Check It Out Example 1B
109
Extend the pattern from example 1A.
Multiply.
Write as a decimal.
0.000000001
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NEGATIVE EXPONENTS
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Additional Example 2A Evaluating Negative
Exponents
Evaluate.
53
Write the reciprocal change the sign of the
exponent.
Simplify.
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Additional Example 2B Evaluating Negative
Exponents
Evaluate.
(10)3
Write the reciprocal change the sign of the
exponent.
Simplify.
0.001
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Check It Out Example 2A
Evaluate.
42
Write the reciprocal change the sign of the
exponent.
Simplify.
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Check It Out Example 2B
Evaluate.
(7)4
Write the reciprocal change the sign of the
exponent.
Simplify.
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Additional Example 3 Using the Order of
Operations
Evaluate 5 (6 4)3 ( 2)0.
5 (6 4)3 (2)0
5 (2)3 (2)0
Subtract inside the parentheses.
Evaluate the exponents.
Add and subtract from left to right.
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Check It Out Example 3
Evaluate 3 (7 4)2 (8)0.
3 (7 4)2 (8)0
3 (3)2 (8)0
Subtract inside the parentheses.
Evaluate the exponents.
Add.
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Lesson Quiz
Evaluate the powers of 10.
0.001
1. 103
0.0000001
2. 107
Evaluate.
1 36
3. (6)2
3 5
4. 4 23 101
24 25
5. 80 (11 24)2
65 256
6. (4w)2 w1 for w 4