Exploring the Pythagorean Theorem Answers
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1
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Which statements about square roots are true? Check all that apply.
A
The square root of a positive number cannot be negative.B
All positive numbers have two square roots.C
= 9 because 9(2) = 18.
D
= 7 because 7(7) = 49.
E
= 5 because 52= 25.
2
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√53 lies between and .
A
7.1B
7.2C
7.3D
7.43
Which two consecutive whole numbers does lie between? Why?
A
5 and 6 because 39 falls between 52 = 25 and 62 = 36.B
4 and 6 because 39 falls between 42 = 16 and 62 = 36.C
6 and 7 because 39 falls between 62 = 36 and 72 = 49.D
5 and 7 because 39 falls between 52 = 25 and 72 = 49.4
√53 lies between and .
A
7.1B
7.2C
7.3D
7.45
is between 7.2 and 7.3. Estimate further to the hundredths place. Which two consecutive values does fall between?
A
7.26 and 7.27B
7.27 and 7.28C
7.28 and 7.29D
7.29 and 7.306
a =
A
3.1B
3.2C
3.3D
3.4E
3.57
Which inequalities are true? Check all that apply.
A
< 3
B
> 3
C
<
D
= 3.6
E
2.2 < < 2.3
F
3.6 > > 3.7
8
b =
A
3.1B
3.2C
3.3D
3.4E
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