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How would you graph -5/4 on a number line?

Answer 1

Please see below.

A number line extends from #-oo# on the extreme left to #oo# on the extreme right. Zero will be in the center. Just one unit to the right of zero is #1# and #-1# one unit too the left of zero.

#-5/4=-1 1/4#, hence it lies between #-2# and #-1#. #-2# will be one unit further to the left of #-1# by one unit.

If we divide the distance between #-2# and #-1# in to four equal parts, #-1 1/4# will be the one just left of #-1# (or three fourths to the right of #-2#).

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Answer 2

Noah Archer

To graph ( -\frac{5}{4} ) on a number line:

Locate zero on the number line.
Since ( -\frac{5}{4} ) is negative, move to the left of zero.
Since ( \frac{5}{4} ) is more than 1, divide the section to the left of zero into four equal parts.
Count five equal subdivisions to the left from zero.
Mark the point ( -\frac{5}{4} ) on the number line.

This point represents ( -\frac{5}{4} ) on the number line.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.