Estimating Square Roots to the Nearest Hundredth

What is the first step in approximating a square root to the nearest hundredth without a calculator?

• Identifying the perfect squares around the given number

• Calculating the fraction of the distance traveled

• Using a calculator to find the exact value

• Converting the fraction to a decimal

Which perfect square is smaller than 141?

• 169

• 100

• 121

• 144

If the square root of 121 is 11 and the square root of 144 is 12, what can be inferred about the square root of 141?

• It is exactly 11

• It is between 11 and 12

• It is exactly 12

• It is greater than 12

How do you calculate the distance between two perfect squares?

• By adding the two numbers

• By dividing the larger number by the smaller number

• By subtracting the smaller number from the larger number

• By multiplying the two numbers

What is the fraction of the distance traveled if 141 is 20 steps away from 121 out of a total of 23 steps?

• 20/23

• 23/20

• 11/12

• 12/11

What is the next step after finding the fraction of the distance traveled?

• Using a calculator

• Finding another fraction

• Converting the fraction to a decimal

• Identifying the perfect squares

How do you convert a fraction to a decimal?

• By adding the numerator and denominator

• By multiplying the numerator and denominator

• By subtracting the numerator from the denominator

• By dividing the numerator by the denominator

What is the decimal equivalent of 20/23?

• 0.86

• 0.89

• 0.87

• 0.88

What is the approximate square root of 141 to the nearest hundredth?

• 11.86

• 11.85

• 11.87

• 11.88

What is the approximate square root of 154 to the nearest hundredth?

• 12.41

• 12.42

• 12.39

• 12.40