Video: Finding and Positioning Rational Numbers on a Horizontal or Vertical Number Line Diagram

What number is π‘š? Give your answer as a mixed number.

01:36

Video Transcript

What number is π‘š? Give your answer as a mixed number.

The first thing we do here is find out where zero is on our number line. We see that π‘š is to the left of zero and that means that it’s going to be negative. All the numbers to the left of zero on a number line are negative. π‘š is very near negative two. It falls between negative one and negative two.

Let’s zoom in a little bit on the space between negative one and negative two. The π‘š is here. How many spaces are between negative one and negative two? One, two, three, four. And the π‘š fills three of those four spaces. We call the space where π‘š is negative one and three-fourths β€” negative because we’re moving to the left of zero, we’ve moved negative one, one whole unit to the left of zero β€” and then three-fourths of a unit further. So we’ve gone negative one and three-fourths

π‘š is located at negative one and three-fourths.

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