Question

Which statements are true about the location of 5.25 on the number line? Check all that apply.

1.5
5.25 should be plotted between 4.5 and 6.0.
5.25 should be plotted between 4.75 and 5.0.
5.25 is closer to 6.0 than to 5.0.
5.25 is the same distance from 5.0 as from 5.5.
5.25 is the same distance from 4.5 as from 6.0.

Answer 1

The answers are C and D because they make sense on a number line

Answer 2

i. 5.25 should be plotted between 4.5 and 6.0.

ii. 5.25 is the same distance from 5.0 as from 5.5.

iii. 5.25 is the same distance from 4.5 as from 6.0.

Explanation:

A number line is a straight horizontal line for locating any given directed number(s). It extends infinitely in any direction.

From the given question, 5.25 is a positive directed number and should be plotted between 4.5 and 6.0. Since 6.0 - 5.25 = 0.75 and 5.25 - 4.5 = 0.75, then is the same distance from 4.5 as from 6.0. Finally, it is of the same distance from 5.0 as from 5.5.