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)