Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5...
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Transcript of Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5...
![Page 1: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/1.jpg)
Over Chapter 9
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 10a2b3
B. 52a2b3
C. 10ab5
D. 5ab5
Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.
![Page 2: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/2.jpg)
![Page 3: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/3.jpg)
You have already evaluated expressions containing squares of numbers. (Previous Course – Area of Squares!)
• Find square roots.
• Estimate square roots.
![Page 4: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/4.jpg)
• perfect square
• square root
• radical sign
Rational number whose square root is a whole number (you get no decimal places).
One of two equal factors of a number.
The symbol √ used to indicate a nonnegative square root
![Page 9: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/9.jpg)
Find Square Roots
Answer: There is no square root because no number times itself is equal to –9.
D.
![Page 11: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/11.jpg)
A. A
B. B
C. C
D. D
A. 12
B. –12
C. –72
D. –20,736
B.
![Page 12: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/12.jpg)
A. A
B. B
C. C
D. D
A. 4
B. –4
C. 4 and –4
D. 256 and –256
C.
![Page 13: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/13.jpg)
A. A
B. B
C. C
D. D
A. –8
B. 8
C. –32
D. There is no real square root.
D.
![Page 14: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/14.jpg)
Estimate Square Roots
Answer: 5
A.
The first perfect square less than 22 is 16.
The first perfect square greater than 22 is 25.
![Page 15: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/15.jpg)
B.
Estimate Square Roots
Answer: –18
The first perfect square less than 319 is 289.
The first perfect square greater than 319 is 324.
![Page 18: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/18.jpg)
Use a Calculator to Estimate a Square Root
Use a calculator.
Round to the nearest tenth.
Check for Reasonableness Since 82 = 64, the answer is reasonable.
ENTER2nd 57 7.549834435
![Page 19: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/19.jpg)
Use a Calculator to Estimate a Negative Square Root
Use a calculator.
Round to the nearest tenth.
Check for Reasonableness Since 72 = 49, the answer is reasonable.
ENTER2nd 42 6.480740698
![Page 20: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/20.jpg)
A. A
B. B
C. C
D. D
A. 3.9
B. 9.8
C. 38.5
D. There is no real square root.
![Page 21: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/21.jpg)
A. A
B. B
C. C
D. D
A. –8.5
B. –36.0
C. 8.5
D. There is no real square root.
![Page 22: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/22.jpg)
Use Square Roots to Solve Problems
SKYSCRAPER The tallest building in Houston, Texas, is the JP Morgan Chase Tower, standing at 1002 feet. About how far to the horizon can a person standing on the top floor see? Round your answer to the nearest tenth.
Replace h with 1002.
Evaluate the square root first.
Write the formula.
![Page 23: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/23.jpg)
Use Square Roots to Solve Problems
≈ 38.6 Multiply.
Answer: On a clear day, a person could see about 38.6 miles.
![Page 24: Over Chapter 9 A.A B.B C.C D.D 5-Minute Check 1 A.10a 2 b 3 B.5 2 a 2 b 3 C.10ab 5 D.5ab 5 Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.](https://reader034.fdocuments.in/reader034/viewer/2022042718/56649e535503460f94b493c0/html5/thumbnails/24.jpg)
A. A
B. B
C. C
D. D
A. 23.2 miles
B. 23.3 miles
C. 23.7 miles
D. 24.4 miles