AnswersIntegrated Math II FullCompleting the Square

Estimating and Comparing Square Roots Answers

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1
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Which point best approximates ?

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A
A
B
B
C
C
D
D
2
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The point plotted on the number line is .What is the approximate value of x?

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A
4
B
9
C
17
D
20
3

Which two numbers does lie between on a number line?

Question illustration
A
11.0 and 11.1
B
11.2 and 11.3
C
11.3 and 11.4
D
11.4 and 11.5
4

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
5

Jana is ordering a list of numbers from least to greatest.Which statement can be used to create her list?

Question illustration
A
is less than because and the square root of a number less than 1 is less than the number itself.
Option A
B
is greater than because and the square root of a number greater than 1 is greater than the number itself.
Option B
C
is less than because and is between 6 and 8.
Option C
D
is greater than because is less than 1 and the square root of a number greater than 1 is greater than 1.
Option D
6

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

Question illustration
A
0.3
B
0.7
C
1.3
D
2.2
7

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.
8

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
9

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
10

Which is the best estimate of to the nearest tenth?

Question illustration
A
6.8
B
6.9
C
7.0
D
7.1

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