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Splash Screen. Five-Minute Check (over Lesson 2–9) Main Idea and Vocabulary Key Concept: Scientific Notation to Standard Form Example 1: Express Numbers in Standard Form Example 2: Express Numbers in Standard Form Key Concept: Standard Form to Scientific Notation
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Five-Minute Check (over Lesson 2–9) Main Idea and Vocabulary Key Concept: Scientific Notation to Standard Form Example 1: Express Numbers in Standard Form Example 2: Express Numbers in Standard Form Key Concept: Standard Form to Scientific Notation Example 3: Write Numbers in Scientific Notation Example 4: Write Numbers in Scientific Notation Example 5: Real-World Example Lesson Menu
Express numbers in scientific notation. • scientific notation Main Idea/Vocabulary
Express Numbers in Standard Form Write 9.62 × 105 in standard form. 9.62 × 105 = 962,000 The decimal point moves 5 places to the right. Answer: 962,000 Example 1
A B C D Write 5.32 × 104 in standard form. A. 532 B. 5,320 C. 53,200 D. 532,000 Example 1
Express Numbers in Standard Form Write 2.85 × 10–6 in standard form. 2.85 × 10–6 = 0.00000285 The decimal point moves 6 places to the left. Answer:0.00000285 Example 2
A B C D Write 3.81 × 10–4 in standard form. A. 0.000381 B. 0.00381 C. 0.0381 D. 0.381 Example 2
Write Numbers in Scientific Notation Write –931,500,000 in scientific notation. –931,500,000 = –9.315 × 100,000,000 The decimal point moves 8 places. = –9.315 × 108 The exponent is positive. Answer: –9.315 × 108 Example 3
A B C D Write 35,600,000 in scientific notation. A. 3.56 × 104 B. 3.56 × 105 C. 3.56 × 106 D. 3.56 × 107 Example 3
Write Numbers in Scientific Notation Write 0.00443 in scientific notation. 0.00443 = 4.43 × 0.001 The decimal point moves 3 places. = 4.43 × 10–3 The exponent is negative. Answer: 4.43 × 10–3 Example 4
A B C D Write 0.000653 in scientific notation. A. 6.53 × 10–3 B. 6.53 × 10–4 C. 6.53 × 10–5 D. 6.53 × 10–6 Example 4
PLANETS The table lists the average radius at the equator for each of the planets in our solar system. Order the planets according to radius from largest to smallest. First order the numbers according to their exponents. Then order the numbers with the same exponents by comparing the factors. Example 5
Jupiter, Neptune, Saturn, Uranus Earth, Mars, Mercury, Venus Step 1 7.14 × 1042.43 × 1046.0 × 1042.54 × 104 6.38 × 1033.40 × 1032.44 × 1036.05 × 103 > Example 5
Jupiter Saturn Uranus Neptune Earth Venus Mars Mercury Step 2 7.14 × 104 > 6.0 × 104 > 2.54 × 104 > 2.43 × 104 6.38 × 103 > 6.05 × 103 > 3.40 × 103 > 2.44 × 103 Answer: The order from largest to smallest is Jupiter, Saturn, Uranus, Neptune, Earth, Venus, Mars, and Mercury. Example 5
A B C D PLANETS The table lists the mass for each of the planets in our solar system. Order the planets according to mass from largest to smallest. A. Jupiter, Saturn, Neptune, Uranus, Earth, Venus, Mars, Mercury B. Jupiter, Saturn, Uranus, Neptune, Earth, Venus, Mercury, Mars C. Saturn, Jupiter, Neptune, Uranus, Venus, Earth, Mars, Mercury D. Mercury, Mars, Earth, Venus, Uranus, Saturn, Neptune, Jupiter Example 5
End of the Lesson End of the Lesson
Five-Minute Check (over Lesson 2–9) Image Bank Math Tools Multiplying Fractions Multiplying and Dividing Fractions Resources
A B C D (over Lesson 2-9) Write the expression ccccccccc using exponents. A. 9c B. 9c C.c8 D.c9 Five Minute Check 1
A B C D (over Lesson 2-9) Write the expression 8 8 8 8 8 using exponents. A. 85 B. 84 C. 54 D. 58 Five Minute Check 2
A B C D A.(y2)(x6) B. C. D.(x7)(y2) (over Lesson 2-9) Five Minute Check 3
A B C D (over Lesson 2-9) Evaluate 29. A. 18 B. 81 C. 128 D. 512 Five Minute Check 4
A B C D A. B. C.36 D.216 (over Lesson 2-9) Evaluate 6(–3). Five Minute Check 5
A B C D (over Lesson 2-9) Write mnmpmnmpnmp using exponents. A.m3n5p3 B.m3n3p3 C.m5n3p5 D.m5n3p3 Five Minute Check 6