Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–2) Main Idea and Vocabulary Example...
-
Upload
darren-mcbride -
Category
Documents
-
view
213 -
download
0
Transcript of Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–2) Main Idea and Vocabulary Example...
Five-Minute Check (over Lesson 1–2)
Main Idea and Vocabulary
Example 1:Write Powers and Products
Example 2:Write Powers and Products
Example 3:Use Powers to Solve a Problem
Example 4:Prime Factorization Using Exponents
Example 5:Prime Factorization Using Exponents
Example 6:Prime Factorization Using Exponents
• base
• exponent
• power
• squared
• cubed
• Use powers and exponents in expressions.
Write Powers and Products
Write 5 × 5 × 5 × 5 using an exponent.
The base is 5. Since 5 is used as a factor four times, the exponent is 4.
5 × 5 × 5 × 5 = 54 Write as a power.
Answer: 54
1. A
2. B
3. C
4. D0% 0%0%0%
A. 414
B. 47
C. 74
D. 142
Write 4 × 4 × 4 × 4 × 4 × 4 × 4 using an exponent.
Write Powers and Products
Write 83 as a product of the same factor. Then find the value.
The base is 8. The exponent is 3. So, 8 is used as a factor three times.
83 = 8 × 8 × 8 Write 83 as a product.
= 512 Multiply.
Answer: 8 × 8 × 8; 512
1. A
2. B
3. C
4. D
0% 0%0%0%
A. 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2; 256
B. 6 × 6 × 6 × 6; 1,296
C. 4 × 4 × 4 × 4 × 4 × 4; 4,096
D. 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3; 6,561
Write 64 as a product of the same factor. Then find the value.
The distance from Boston to Chicago is about 103 miles. What is this number?
103 = 10 × 10 × 10 Write 103 as a product.
= 1,000 Multiply.
Answer: So, the distance from Boston to Chicago is about 1,000 miles.
Use Powers to Solve a Problem
1. A
2. B
3. C
4. D0% 0%0%0%
A. 12 ft
B. 24 ft
C. 36 ft
D. 64 ft
SWIMMING POOL The length of a new swimming pool being built at the community recreation center is listed as 26 feet. What is the length of the new pool?
Write the prime factorization of 108 using exponents.
108 = 2 × 2 × 3 × 3 × 3 Write the prime factorization.
Answer: 22 × 33
Prime Factorization Using Exponents
= 22 × 33 Write products of identical factors using exponents.
1. A
2. B
3. C
4. D0% 0%0%0%
A. 24 × 32
B. 22 × 34
C. 22 × 62
D. 32 × 42
Write the prime factorization of 144 using exponents.
Write the prime factorization of 80 using exponents.
80= 2 × 2 × 2 × 2 × 5Write the prime factorization.
Answer: 24 × 5
Prime Factorization Using Exponents
= 24 × 5 Write products of identical factors using exponents.
1. A
2. B
3. C
4. D0% 0%0%0%
A. 22 × 32
B. 24 × 3
C. 2 × 34
D. 33 × 6
Write the prime factorization of 162 using exponents.
Write the prime factorization of 450 using exponents.
450 = 2 × 3 × 3 × 5 × 5 Write the prime factorization.
Answer: 2 × 32 × 52
Prime Factorization Using Exponents
= 2 × 32 × 52Write products of identical factors using exponents.
1. A
2. B
3. C
4. D0% 0%0%0%
A. 23 × 3 × 5
B. 22 × 32 × 5
C. 32 × 4 × 5
D. 2 × 32 × 6
Write the prime factorization of 180 using exponents.
End of the Lesson
Five-Minute Check (over Lesson 1–2)
Image Bank
Math Tools
Rectangular Arrays
Area of Rectangles and Squares
1. A
2. B
3. C0% 0%0%
A. prime
B. composite
C. neither
Tell whether 23 is prime, composite, or neither.
(over Lesson 1-2)
1. A
2. B
3. C0% 0%0%
A. prime
B. composite
C. neither
Tell whether 57 is prime, composite, or neither.
(over Lesson 1-2)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 2 × 30
B. 4 × 15
C. 4 × 3 × 5
D. 2 × 2 × 3 × 5
Find the prime factorization of 60.
(over Lesson 1-2)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 4 × 21
B. 2 × 6 × 7
C. 2 × 2 × 3 × 7
D. 6 × 14
Find the prime factorization of 84.
(over Lesson 1-2)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 25, 50, 75, 100
B. 25, 50, 75
C. 50, 100
D. 5, 25
Which numbers less than 110 contain 5 × 5 in their prime factorizations?
(over Lesson 1-2)
1. A
2. B
3. C
4. D0% 0%0%0%
A. 23 × 33 × 5
B. 22 × 32 × 52
C. 22 × 33 × 5
D. 2 × 33 × 52
Which is the prime factorization of 540?
(over Lesson 1-2)