Late Scribepost- 3 questions out of math textbook pg.99

4. Estimate the square root of each number,

to one decimal place. Check with a

calculator.

a) 72 b) 103 c) 55

a) 72

Microsoft Paint wasn't working so I will explain my answer in sentences. We now that 72 is nearest to 81, and 64 the square root of 81 is 9 and the square root of 64 is 8. We know the square root of 72 is between 8 and 9, of course it is closer to 8, because 72 is closer to 64. My estimation is 8.4.

The correct answer is: 8.4

b) 103

Okay so 103 is close to 110, 110's square root is 11. 103 is also close to 100 which square root is 10. 103 is closer to 100, so my estimation of 103's square root is 10.2.

The correct answer is: 10.1

c)55

Okay so 55 is close to 49 (Square root of that is 7), and 64 (Square root of that is 8). 55 is closer to 49, my estimation of 55's square root is 7.7.

The correct answer is: 7.4

5. Estimate each value, to one decimal

place. Check your answer with a

calculator.

a)

√14

Okay, so 14 is close to 9 and 16. 14 is closer to 16.

√9 = 3

√16 = 4

So my estimation is √14 = 3.9!

Correct Answer: 3.7

b)√86

We know 86 is close to 81 and 64. We know its obviously closer to 81.

√64 = 8

√81 = 9

So my estimation is √86 = 9.3!

Correct Answer: 9.2

c)√136

We know 136 is close to 110, and 144, we know it is closer to 144.

√110 = 11

√144 = 12

So my estimation is √136 = 11.4

Correct Answer: 11.6