Question

Which two numbers √128 lie between on a number line?
11.0 and 11.1
11.2 and 11.3
11.3 and 11.4
11.4 and 11.5

The point √x is plotted on the number line.

What whole number best approximates the value of x?
100
102
103
104

Answer 1

A.√100 = 10

B.√102 = 10.0995

C.√103 = 10.14889

D.√104 = 10.19804

the asnswer is D.√104 = 10.19804

Answer 2

Answer with explanation:

$\rightarrow \sqrt{128} \text{Lies between two square numbers} 121 \text{and} 144.\\\\121=11^2 \\\\ (11.1)^2=133.1$

So, √128 lies between 11.0 and 11.1.

Option A: →11.0 and 11.1

(B)→

√x lies between 10.1 and 10.2.

If →√x=10.1

Squaring both sides

x=102.01

and if , →√x=10.2

Squaring both sides

→x=104.04

Nearest Whole Number from 104.04 is 104.Why, 104 because the number √x is closer to 10.2 on the number line.

→The whole number best approximates the value of x is 104.

≡Option D:→ 104