We want to order the numbers from least to greatest.
- 11/5, - 2.4, 1.6 , 15/10 , - 2.25
To help us compare the numbers, we will first rewrite the fractions - 115 and 1510 as decimals.
Rewrite - 115 as a Decimal
We want to rewrite the fraction - 115 as a decimal number. Let's ignore the negative sign for the moment. Since 11 5 means 11÷ 5, we will divide the numerator by the denominator. Let's do it!
We found that 115 written as a decimal is 2.2. This means that - 115 written as a decimal is - 2.2.
Rewrite 1510 as a Decimal
Now let's rewrite the fraction 1510 as a decimal number by dividing the numerator by the denominator.
We found that 1510 written as a decimal is 1.5.
Order the Numbers from Least to Greatest
Let's organize our decimal numbers.
- 11/5, - 2.4, 1.6 , 15/10 , - 2.25
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⇕
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- 2.2, - 2.4, 1.6 , 1.5 , - 2.25
Now we can compare the given numbers by plotting the decimals on the number line.
Looking at the diagram, we can see that the least number is - 2.4. We read the numbers from left to right to rearrange them in order from least to greatest.
- 2.4 , - 2.25 , - 2.2, 1.5 , 1.6
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- 2.4 , - 2.25 , - 11/5, 15/10 , 1.6
