Estimating and Comparing Square Roots

Question 1

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?

Revolt · Accepted Answer

In step 3, he should have determined which square is closest to 18.

Question 2

Which point best approximates?

Revolt · Accepted Answer

B

Question 3

Which two numbers does lie between on a number line?

Revolt · Accepted Answer

7.2 and 7.3

Question 4

The point is plotted on the number line. What whole number best approximates the value of x?

Revolt · Accepted Answer

104

Question 5

Which two numbers does lie between on a number line?

Revolt · Accepted Answer

11.3 and 11.4

Question 6

Hassan used the iterative process to locate on the number line. Which best describes Hassan’s estimation?

Revolt · Accepted Answer

Hassan is incorrect because is less than 0.4.

Question 7

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

Revolt · Accepted Answer

0.7

Question 8

Pedro, Lena, Harriet, and Yermin each plot a point to approximate .PedroLenaHarrietYerminWhose point is the best approximation of ?

Revolt · Accepted Answer

Yermin

Question 9

Which number is farthest from 2 on the number line?

Revolt · Accepted Answer

StartRoot 2.1 EndRoot

Question 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?

Revolt · Accepted Answer

Matthew’s, Rhoda’s, and Ming’s

Estimating and Comparing Square Roots Answers

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