Plotting Irrational Numbers on the Number Line

​Additional Learning Resources

​https://youtu.be/Qt0EXOcKH5s

​

​Find out how much you already know about this module. Read each statement carefully. Choose the letter of the best answer.

Multiple Choice

Which whole number is closest to √46?

• 5

• 6

• 7

• 8

Multiple Choice

Identify which perfect square is closest to√181?

• 4

• 9

• 16

• 25

Multiple Choice

Which of the following is the perfect square number closest but less than 20?

• 16

• 19

• 22

• 25

Multiple Choice

Which of the following is the perfect square number closest but greater than 136?

• 100

• 138

• 144

• 169

Multiple Choice

Between which consecutive numbers is the estimate √10 lie?

• 2 and 3

• 3 and 4

• 4 and 5

• 5

Multiple Choice

Which of the following is the closest approximation of√51?

• 6.64

• 6.94

• 7.04

• 7.14

Multiple Choice

What is the square root of 15 to the nearest hundredths?

• 3.01

• 3.27

• 3.52

• 3.87

Multiple Choice

Which of the following number is the estimate of√125?

• 10.18

• 11.18

• 12.18

• 13.18

Multiple Choice

Estimate√78

• 7.38

• 7.83

• 8.38

• 8.83

Multiple Choice

What is the square root of 60 to the nearest hundredths?

• 7.75

• 7.76

• 7.77

• 7.78

Multiple Choice

Refer to the given number line.

Which letter most accurately represents the location of $$-\sqrt[]{14}$$   on the number line?

• A

• B

• C

• D

Multiple Choice

Refer to the given number line.

Which letter most accurately represents the location of √8 on the number line?

• A

• B

• C

• D

Multiple Choice

Locate and plot √2 on a number line.

Multiple Choice

Locate and plot √5 on a number line.

Multiple Choice

Locate and plot √23 on a number line.

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Multiple Choice

Name the two consecutive integers between which the given square roots lie.

√2

• 1 and 2

• 2 and 3

• 3 and 4

• 4 and 5

Multiple Choice

Name the two consecutive integers between which the given square roots lie.

√7

• 1 and 2

• 2 and 3

• 3 and 4

• 4 and 5

Multiple Choice

Name the two consecutive integers between which the given square roots lie.

√28

• 5 and 6

• 2 and 3

• 3 and 4

• 4 and 5

Multiple Choice

Name the two consecutive integers between which the given square roots lie.

√150

• 5 and 6

• 12 and 13

• 3 and 4

• 4 and 5

Multiple Choice

Name the two consecutive integers between which the given square roots lie.

√41

• 5 and 6

• 12 and 13

• 6 and 7

• 4 and 5

Multiple Choice

Which whole number is closest to √154?

• 10

• 11

• 12

• 13

Multiple Choice

Identify which perfect squares is closest to 216?

• 196

• 225

• 256

• 289

Multiple Choice

Which of the following is the perfect square number closest but less than 137?

• 100

• 121

• 125

• 144

Multiple Choice

Which of the following is the perfect square number closest but greater than 239?

• 196

• 225

• 256

• 289

Multiple Choice

Between which consecutive numbers is the estimate √57 lie

• 4 and 5

• 6 and 7

• 7 and 8

• 8

Multiple Choice

Which of the following is the closest approximation of√109?

• 9. 44

• 9.45

• 10.44

• 10.45

Multiple Choice

What is the square root of 63 to the nearest hundredths?

• 7.94

• 7.95

• 8.05

• 8.05

Multiple Choice

Which of the following number is the estimate of√146?

• 11.08

• 11.18

• 12.08

• 12.18

Multiple Choice

Estimate√103.

• 10. 05

• 10.15

• 10.21

• 10.23

Multiple Choice

What is the square root of 176 to the nearest hundredths?

• 13.19

• 13.27

•  13.38

•  13.64