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Splash Screen. Five-Minute Check (over Lesson 9–3) Then/Now Key Concept: Negative and Zero Exponents Example 1: Write Expressions Using Positive Exponents Example 2: Use Negative Exponents Example 3: Real-World Example: Use Negative Exponents
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Five-Minute Check (over Lesson 9–3) Then/Now Key Concept: Negative and Zero Exponents Example 1: Write Expressions Using PositiveExponents Example 2: Use Negative Exponents Example 3: Real-World Example: Use NegativeExponents Example 4: Algebraic Expressions with Negative Exponents Lesson Menu
Find 108 ● 104. A. 1032 B. 1013 C. 1012 D. 104 5-Minute Check 1
Find a5 ● a5. A.a25 B.a10 C. 2a5 D.a0 5-Minute Check 2
Find 108÷ 104. A. 1032 B. 1012 C. 104 D. 102 5-Minute Check 3
A.x27 B.x12 C.x7 D.x6 5-Minute Check 4
Find 4y ● 5y4. A. 20y5 B. 9y5 C. 9y3 D. –y3 5-Minute Check 5
In the metric system, one kiloliter is equal to 103 liters. One liter is 103 milliliters. How many milliliters are in one kiloliter? A. 1,000,000 B. 100,000 C. 10,000 D. 1000 5-Minute Check 6
You evaluated expressions containing positive exponents. (Lesson 9–1) • Write expressions using negative exponents. • Evaluate numerical expressions containing negative exponents. Then/Now
Write Expressions Using Positive Exponents A.Write 3–4 using a positive exponent. Definition of negative exponent Answer: Example 1 A
Write Expressions Using Positive Exponents B.Write m–2 using a positive exponent. Definition of negative exponent Answer: Example 1 B
A.53 B. C. D.52 A.Write 5–3 using a positive exponent. Example 1 CYP A
A. B.y6 C. D. B.Write y–6 using a positive exponent. Example 1 CYP B
A. Use Negative Exponents Definition of exponent = 5–3 Definition of negative exponent Answer: 5–3 Example 2 A
Use Negative Exponents Definition of negative exponent. Answer: 8–4 Example 2 B
A. A. B.2–6 C.2–4 D.2–5 Example 2 CYP A
A. B. C.3–7 D.–21 Example 2
ATOMAn atom is an incredibly small unit ofmatter. The smallest atom has a diameter of approximately of a nanometer, or 0.0000000001meter. Write the decimal as a fraction and as a powerof 10. Use Negative Exponents Write the decimal as a fraction. Example 3
Use Negative Exponents Definition of negative exponent Example 3
A. B. C. D. WEATHERFog is composed of cloud droplets with a diameter of 0.00001 meter. Write the decimal as a fraction and as a power of ten. Example 3
Algebraic Expressions with Negative Exponents Evaluate 16r–3 if r = –4. Replace r with –4. Definition of negative exponent Find (–4)3. Simplify. Example 4
Algebraic Expressions with Negative Exponents Simplify. Example 4
A. B. C.4 D.6 Evaluate 24x–2 if x = –2. Example 4