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: 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

√53 lies between and

Answer 1

7.2 and 7.3 are the answers

Explanation:

Answer 2

√53 lies between 7.2 and 7.3

Explanation:

To estimate the √53 between two numbers to the tenths place, the steps include

1.) Identify perfect squares that bound the number 53: 7² = 49 and 8² = 64

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

3.) Determine the closer whole number: the root is 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

Hence, it is evident that √53 lies between 7.2 and 7.3

It is also clear that the required square root is closer to 7.3 than 7.2 though.

Hope this Helps!!!