lesson menu main idea ngsss key concept:zero and negative exponents example 1:write expressions...
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Main Idea
NGSSS
Key Concept:Zero and Negative Exponents
Example 1:Write Expressions using Positive Exponents
Example 2:Write Expressions using Positive Exponents
Example 3:Evaluate Expressions with Negative Exponents
Example 4:Evaluate Expressions with Negative Exponents
Example 5:Write Expressions using Negative Exponents
Example 6:Write Expressions using Negative Exponents
Example 7: Real-World Example: Use Negative Exponents
Example 8: Multiply and Divide with Negative Exponents
Example 9: Multiply and Divide with Negative Exponents
Five-Minute Check
MA.8.A.6.3 Simplify real number expressions using the laws of exponents.
Write Expressions using Positive Exponents
Write 4–4 using a positive exponent.
Definition of negative exponent
Answer:
Write c–7 using a positive exponent.
Write Expressions using Positive Exponents
Definition of negative exponent
Answer:
Evaluate Expressions with Negative Exponents
Evaluate 5–2.
Definition of negative exponent
Answer:
52 = 5 • 5 or 25
Evaluate (–8)–2.
Evaluate Expressions with Negative Exponents
Definition of negative exponent
Answer:
(–8)2 = (–8)(–8) or 64
Write Expressions using Negative Exponents
Write as an expression using a negative
exponent.
9 = 32
Answer: 3–2
= 3–2 Definition of negative exponent
Write as an expression using a negative
exponent.
A.
B.
C. 7–2
D. 72
Write Expressions using Negative Exponents
Answer: f –5
Write as an expression using a negative
exponent.
Definition of negative exponent
Write as an expression using a negative
exponent.
A. m–6
B. –m6
C.
D.
Use Negative Exponents
SCIENCE A grain of salt weighs about 0.0001 gram.Write the decimal as a power of 10.
Write the decimal as a fraction.
= 10–4 Definition of negative exponent
10,000 = 104
Answer: A grain of salt weighs about 10–4 gram.
A. 103
B. 102
C. 10–2
D. 10–3
FISH A sea horse travels about 0.01 mile per hour. Write the decimal as a power of 10.
Multiply and Divide with Negative Exponents
Simplify a–5 • a–3. Express using positive exponents.
a–5 • a–3 = a–5 + (–3) Product of Powers
= a–8 Add the exponents.
Definition of negative exponents
Answer:
Simplify x4 • x–6. Express using positive exponents.
A. x10
B. x2
C.
D.
Multiply and Divide with Negative Exponents
Simplify . Express using positive exponents.
Quotient of Powers
= c2 Subtract the exponents.
Answer: c2
A. 6–3
B. 63
C. 6–10
D. 610
Simplify 6–2 • 65. Express using positive exponents.
A. 8–15
B. 8–2
C. 82
D. 815
Simplify . Express using positive exponents.
Simplify –5x2y –2 • 3x–3y5. Express using positive exponents.
A. –15xy3
B.
C.
D.
A. 11–1, 11–3, 110, 111, 113
B. 110, 11–3, 11–1, 111, 113
C. 113, 111, 110, 11–1, 11–3
D. 11–3, 11–1, 110, 111, 113
Which of the following correctly shows 11–3, 111, 113, 110, and 11–1 in order from least to greatest?
