Question

order the following from least to greatest (sketch a number line to help): 55%, 0.67, 1.24, 100%

Explanation:

Step1: Convert percentages to decimals

To compare the numbers, we first convert the percentages to decimals. Recall that to convert a percentage to a decimal, we divide by 100 (or move the decimal point two places to the left).

• \(55\%=\frac{55}{100} = 0.55\)
• \(100\%=\frac{100}{100}=1\)

Step2: List all numbers as decimals

Now we have the numbers in decimal form: \(0.55\) (from \(55\%\)), \(0.67\), \(1\) (from \(100\%\)), and \(1.24\).

Step3: Compare the decimals

We compare the decimal numbers:

• Start with the smallest. \(0.55\) (which is \(55\%\)) is less than \(0.67\) because \(0.55<0.67\).
• Then, \(0.67\) is less than \(1\) (which is \(100\%\)) because \(0.67 < 1\).
• Finally, \(1\) (which is \(100\%\)) is less than \(1.24\) because \(1<1.24\).

Answer:

\(55\% < 0.67 < 100\% < 1.24\)