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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 - PowerPoint PPT Presentation
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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
• scientific notation
• Express numbers in scientific notation.
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
1. A
2. B
3. C
4. D0% 0%0%0%
A. 532
B. 5,320
C. 53,200
D. 532,000
Write 5.32 × 104 in standard form.
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
1. A
2. B
3. C
4. D0% 0%0%0%
A. 0.000381
B. 0.00381
C. 0.0381
D. 0.381
Write 3.81 × 10–4 in standard form.
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.
Answer: –9.315 × 108
= –9.315 × 108 The exponent is positive.
1. A
2. B
3. C
4. D0% 0%0%0%
A. 3.56 × 104
B. 3.56 × 105
C. 3.56 × 106
D. 3.56 × 107
Write 35,600,000 in scientific notation.
Write 0.00443 in scientific notation.
0.00443 = 4.43 × 0.001 The decimal point moves 3 places.
Answer: 4.43 × 10–3
Write Numbers in Scientific Notation
= 4.43 × 10–3 The exponent is negative.
1. A
2. B
3. C
4. D0% 0%0%0%
A. 6.53 × 10–3
B. 6.53 × 10–4
C. 6.53 × 10–5
D. 6.53 × 10–6
Write 0.000653 in scientific notation.
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.
Step 1
>
Jupiter, Neptune, Saturn, Uranus
Earth, Mars, Mercury, Venus
7.14 × 104
2.43 × 104
6.0 × 104
2.54 × 104
6.38 × 103
3.40 × 103
2.44 × 103
6.05 × 103
Step 2
7.14 × 104 > 6.0 × 104 > 2.54 × 104 > 2.43 × 104
Answer: The order from largest to smallest is Jupiter, Saturn, Uranus, Neptune, Earth, Venus, Mars, and Mercury.
Jupiter Saturn Uranus Neptune
Earth Venus Mars Mercury
6.38 × 103 > 6.05 × 103 > 3.40 × 103 > 2.44 × 103
1. A
2. B
3. C
4. D0% 0%0%0%
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
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.
End of the Lesson
Five-Minute Check (over Lesson 2–9)
Image Bank
Math Tools
Multiplying Fractions
Multiplying and Dividing Fractions
1. A
2. B
3. C
4. D0% 0%0%0%
A. 9c
B. 9c
C. c8
D. c9
Write the expression c c c c c c c c c using exponents.
(over Lesson 2-9)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 85
B. 84
C. 54
D. 58
Write the expression 8 8 8 8 8 using exponents.
(over Lesson 2-9)
1. A
2. B
3. C
4. D0% 0%0%0%
(over Lesson 2-9)
A. (y2)(x6)
B.
C.
D. (x7)(y2)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 18
B. 81
C. 128
D. 512
Evaluate 29.
(over Lesson 2-9)
1. A
2. B
3. C
4. D0% 0%0%0%
Evaluate 6(–3).
(over Lesson 2-9)
A.
B.
C. 36
D. 216
1. A
2. B
3. C
4. D0% 0%0%0%
A. m3n5p3
B. m3n3p3
C. m5n3p5
D. m5n3p3
Write m n m p m n m p n m p using exponents.
(over Lesson 2-9)