AnswersFL-1200700-Mathematics for College Algebra MISEstimating and Comparing Square Roots

Estimating and Comparing Square Roots Answers

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1
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Which point best approximates ?

Question illustration
A
A
B
B
C
C
D
D
2
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Which statements are true? Select the five correct answers.

A
< 1.8
Option A
B
StartRoot 1.8 EndRoot greater-than 1
Option B
C
StartRoot 1.8 EndRoot less-than StartRoot 1.9 EndRoot
Option C
D
1.3 less-than StartRoot 1.8 EndRoot less-than 1.4
Option D
E
StartRoot 1.9 EndRoot + StartRoot 1.8 EndRoot greater-than 2
Option E
F
StartRoot 1.9 EndRoot minus StartRoot 1.8 EndRoot greater-than 0.1
Option F
3

Nolan used the following procedure to find an estimate for .Step 1: Since and and 16 < 18 < 25, is between 4 and 5.Step 2: Since 18 is closer to 16, square the tenths closer to 4.Step 3: Since 18.49 rounds to 18, 4.3 is the best approximation for .In which step, if any, did Nolan make an error?

Question illustration
A
In step 1, is between 4 and 5 because 20 and .
Option A
B
In step 2, he made a calculation error when squaring.
C
In step 3, he should have determined which square is closest to 18.
D
Nolan did not make an error.
4

The values and are plotted on the number line.What is the approximate difference in tenths between and ?

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A
0.2
B
0.4
C
1.5
D
1.7
5

Which point best approximates?

Question illustration
A
A
B
B
C
C
D
D
6

Which two numbers does lie between on a number line?

Question illustration
A
7.7 and 7.8
B
7.8 and 7.9
C
7.9 and 8.0
D
8.0 and 8.1
7

What square root best approximates the point on the graph?

Question illustration
A
StartRoot 5 EndRoot
Option A
B
StartRoot 15 EndRoot
Option B
C
StartRoot 28 EndRoot
Option C
D
StartRoot 53 EndRoot
Option D
8

Which statements are true? Select the two correct answers.

A
The square root of a positive number greater than 1 is less than the number.
B
The square root of a positive number is always less than half of the number itself.
C
The square root of a positive number less than 1 is less than the number.
D
The square root of a perfect square is not a whole number.
E
The square root of a positive number less than 1 is between 0 and 1.
9

Which number is farthest from 2 on the number line?

A
StartRoot 2.1 EndRoot
Option A
B
StartRoot 2.4 EndRoot
Option B
C
StartRoot 2.5 EndRoot
Option C
D
StartRoot 2.9 EndRoot
Option D
10

Four students provide the following approximations for .Anyah states that is between 0.44 and 0.45 because .Matthew states that is between 0 and 1 because .Rhoda states that is between 0.9 and 1.0 because .Ming states that is between 0.93 and 0.95 because .Which solution(s) are correct?

Question illustration
A
Anyah's only
B
Ming's only
C
Anyah’s, Matthew’s, and Rhoda’s
D
Matthew’s, Rhoda’s, and Ming’s

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