Question

Which two numbers does 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

Answer 1

HI!

So the square root of 128 is 11.31.

You would know that it is more than 11 since 11^2 is 121 which is 7 less than 128.

So the answer would be between 11.3 and 11.4

also 12^2 is 144

121 and 144 are 23 points away and that divided by 10 is 23/10. 23/10 is a little more than 2. so everytime 121 is added by 2, go up by .1

so....

121+2 = 123

11 + .1 = 11.1

123+ 2 = 125

11.1 + .1 = 11.2

125+2=127

11.2+.1=11.3

127+2=129

11.3+.1=11.4

and you would know that square root of 128 is between 11.3 and 11.4

Hope this helps!

Answer 2

√128 = 11.31

11.31 > 11.3 and 11.31 < 11.4

Answer

11.3 and 11.4