We want to order the numbers from least to greatest. Let's start by looking at the given numbers!
- 1.4, - 8/5, 0.6 , - 0.9 , 1/4
Before we compare the numbers, let's rewrite the fractions - 85 and 14 as decimals, one fraction at a time.
Rewrite - 85 as a Decimal
We want to write the fraction - 85 as a decimal number. Let's ignore the negative sign for just a moment. Recall that 8 5 means 8÷ 5. Let's divide the numerator by the denominator.
We found that 85 written as a decimal is 1.6. This means that - 85 written as a decimal is - 1.6.
Rewrite 14 as a Decimal
Now we want to write the fraction 14 as a decimal number. Let's divide the numerator by the denominator.
We found that 14 written as a decimal is 0.25.
Order the Numbers from Least to Greatest
First, we will rewrite the numbers in their decimal forms.
- 1.4, - 8/5, 0.6 , - 0.9 , 1/4 [0.2em]
⇕
[0.2em]
- 1.4, - 1.6, 0.6 , - 0.9 , 0.25
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 equal to - 1.6. We read the numbers from left to right to rearrange them in order from least to greatest.
- 1.6, - 1.4, - 0.9 , 0.25 , 0.6
[0.2em]
⇕
[0.2em]
- 8/5, - 1.4, - 0.9 , 1/4 , 0.6
