Textbook Questions 5, 15, 18

5. Estimate each value, to one decimal place. Check your answer with a calculator.

√14 b) √86 c) √136

a) Find the two perfect square closets to 14. They are 9 and 16.

Find the half way point.

Since 14 is more closer to 16 the square root needs to be more than 3.5.

Estimate: 3.6

Calculation: 3.7

b) Find the two perfect square closets to 86. They are 81 and 100.

86 is smaller than the half way point. So its less than 9.5

Estimate: 9.3

Calculation: 9.2

c) Find the two perfect square closets to 136. They are 121 and 144.

136 is larger than the half way point. So its more than 11.5

Estimate: 11.7

Calculation: 11.6

15. Order the following numbers from least to greatest.

7, √46, 5.8, √27, 6.3

First you have to find the square roots of those numbers. (√46 and √27)

√46 = 6.7

√27 = 5.1

In order = √27, 5.8, 6.3, √46, 7

18.

a) 3

b)

1.7

c) 1.73

d) very close