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### Unit 5: Lesson 3

Rational numbers on the number line

# Negative decimals on the number line

These example exercises require us to interpret a number line in order to locate where our positive and negative decimals should be placed. Created by Sal Khan.

## Want to join the conversation?

• • • Negative Numbers mean under zero, like below zero. So there wouldn't be a negative 0 because it would't make sense. I know that but why are the numbers getting smaller like -115 is smaller than -5? Why is that? • Because the "largeness" or "smallness" of a number is not relative to it's position in respect to 0. 5 is less than 10 because 5 is further left on the number line. -10 is smaller than -5 because -10 is further left on the number line.

So, the further right on the number line, the larger the number, and the further left, the smaller. It doesn't matter where 0 is in relation to those numbers.
• • • • Yes, yes, people might view both as to numbers, but one is smaller than the other. As you can compare, -5 is smaller than 5, because of the negative symbol used in -5, making it a lesser value than the original number itself. However, absolute values have the power to change these negative values. Here's an example, |-5| is the same value as 5. In this problem, why is |-5| the same value as 5? It's because the bars ( |#| ) representing, absolute value. Absolute value means the number of jumps it takes from zero to the number inside these bars. Absolute value can make values negative, too. For example, -|5| is negative five. According to the example, the negative symbol is outside the bars. Always remember that the numbers in between the bars are the numbers that represent the absolute value. Anything outside of the bars is not going to change. Negative numbers are different because they represent different things like negatives represent debt, temperatures below zero, elevation below the sea level, and many more. On the other hand, Positives represent money received, temperatures above zero, elevation above sea level, and a lot more.
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