We want to order the numbers from least to greatest. Let's start by looking at the given numbers!
9/5, - 2.5, - 1.1 , - 4/5 , 0.8
To help us compare the numbers, we will first rewrite the fractions 95 and - 45 as decimals, one fraction at a time. Then, we will order the numbers from least to greatest.
Rewrite 95 as a Decimal
We want to write the fraction 95 as a decimal number. To do so, recall that 95 means 9÷ 5. We will divide the numerator by the denominator. Let's do it!
We found that 95 written as a decimal is 1.8.
Rewrite - 45 as a Decimal
We want to write the fraction - 45 as a decimal number. Let's ignore the negative sign for just a moment and divide the numerator by the denominator.
We found that 45 written as a decimal is 0.8. Therefore, - 45 written as a decimal is - 0.8.
Order the Numbers from Least to Greatest
First, we will rewrite the numbers in their decimal forms.
9/5, - 2.5, - 1.1 , - 4/5 , 0.8 [0.2em]
⇕
[0.2em]
1.8, - 2.5, - 1.1 , - 0.8 , 0.8
Now we can compare the given numbers. Let's graph each decimal on the number line.
Looking at the diagram, we can see that the least number is - 2.5. We read the numbers from left to right to rearrange them in order from least to greatest.
- 2.5, - 1.1, - 0.8 , 0.8 , 1.8
[0.2em]
⇕
[0.2em]
- 2.5, - 1.1, - 4/5 , 0.8 , 9/5
