Estimating the Square Roots of Whole Numbers and Plotting Irrational Numbers

​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.

Fill in the Blanks

Find the square/cube root of each number.

√25

Fill in the Blanks

Find the square/cube root of each number.

√64

Fill in the Blanks

Find the square/cube root of each number.

√169

Fill in the Blanks

Find the square/cube root of each number.

√100

Fill in the Blanks

Find the square/cube root of each number.

√289

Fill in the Blanks

Estimate each square root to the nearest hundredths.

√50

Fill in the Blanks

Estimate each square root to the nearest hundredths.

√89

Fill in the Blanks

Estimate each square root to the nearest hundredths.

√21

Fill in the Blanks

Estimate each square root to the nearest hundredths.

√143

Fill in the Blanks

Estimate each square root to the nearest hundredths.

√250

Fill in the Blanks

Ericka owns a square lot with a land area 237 square feet. To the nearest hundredths of a foot, what is the side length of the kitchen floor?

Fill in the Blanks

You use one gallon of white paint to apply a base coat of paint on a square wall mural. The paint covers 380 square feet per gallon. Estimate the side length of the mural to the nearest hundredths of a foot.

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

Fill in the Blanks

Ms. Liza is buying a square piece of land which is 548 square meters in area. What is the length of each side of the land?

Round off your answer to the nearest hundredths.

Fill in the Blanks

If a square bedroom has an area of 111square feet, what is the length of one wall?

Round off your answer to the nearest hundredths.

Fill in the Blanks

Aerox bought a square carpet with an area of 95 square feet for his dining room. What is the approximate length of one side of the carpet?

Round off your answer to the nearest hundredths.

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