Question

Estimate √53 between two numbers to the tenths place. 1. Identify perfect squares: 72 = 49 and 82 = 64 2. Estimate between two whole numbers: between 7 and 8 3. Determine the closer whole number:

Answer 1

7.3 to the nearest tenth.

Explanation:

The square root is between 7 and 8.

The closest whole number is 7.

Divide 53 by 7:

= 7.57

Average of 7 and 7.57 = 7.29

Divide 53 by 7.29 = 7.27.

Average of 7.27 and 7.29 = 7.28.

Therefore the square root is 7.3 to the nearest tenth.

Answer 2

53 lies between 7.2 and 7.3

Explanation:

1. Identify perfect squares: 72 = 49 and 82 = 64

2. Estimate between two whole numbers: between 7 and 8

3. Determine the closer whole number: closer to 7 because 53 is closer to 49 than to 64

4. Find the squares of tenths: 7.12= 50.41

7.22= 51.84

7.32= 53.29

7.42= 54.76