Estimating Square Roots to the Nearest Tenth

The video tutorial explains how to estimate the square root of a number to the nearest tenth. It begins by identifying the perfect squares surrounding the number, then calculates the decimal point by finding the distance between these squares. The process involves division to refine the estimate, followed by rounding to achieve the final answer.

What is the first step in estimating the square root of a number?

• Rounding the result

• Calculating the distances

• Identifying the integer part

• Finding the decimal part

Between which two perfect squares does the number 29 lie?

• 36 and 49

• 25 and 36

• 9 and 16

• 16 and 25

What is the square root of 25?

• 6

• 5

• 7

• 4

What is the distance between 29 and the lower perfect square 25?

• 6

• 5

• 3

• 4

What is the distance between the higher perfect square 36 and the lower perfect square 25?

• 9

• 11

• 10

• 12

What is the result of dividing the smaller distance by the larger distance?

• 0.45

• 0.36

• 0.25

• 0.50

When dividing, what do you do if the divisor does not go into the dividend?

• Add a zero to the dividend

• Round the dividend

• Subtract the divisor from the dividend

• Multiply the dividend by 10

What is the rule for rounding a number to the nearest tenth?

• Round up if the hundredths place is 4 or below

• Round down if the hundredths place is 5 or above

• Round down if the hundredths place is 6 or above

• Round up if the hundredths place is 5 or above

What is the final estimated square root of 29 to the nearest tenth?

• 5.6

• 5.4

• 5.3

• 5.5

What is the combined result of the integer part and the rounded decimal part?

• 7.4

• 4.4

• 5.4

• 6.4