Question

Which two numbers would correctly fill in the blank -0.7<____< 1/4

A. -3/4

B. -0.5

C. -√3

D. -1/19

Answer 1

B. -0.5

D. -1/19

Explanation:

-.7 < ______ < 1/4

Lets change the fraction to a decimal

1/4 *25/25 = 25/100 = .25

-.7 < ______ < .25

We need a number between -.7 and + .25

-.5 is between these two numbers so that is 1 solution

-1/19 is close to -1/20

-1/20 *5/5 = -5/100 = -.05

This is between the two numbers

-1/19 = -.052631579

I approximated because I could tell it was not close to either end point.