When ordering decimals, we arrange them from the smallest to the largest number, or from the largest to the smallest number. To do this, we compare the place values of the digits in the decimals.
Let's look at a few examples to illustrate how to order decimals:
Example 1: Order the decimals 0.75, 0.6, 0.9
First, compare the whole numbers before the decimal point. Since they are all 0, we move to the decimal parts. The tenths place is the first place where the decimals differ, so we compare the tenths digit. 0.6 is smaller than 0.75, so 0.6 comes first. Then, we compare 0.75 and 0.9. 0.75 is smaller than 0.9, so the order is 0.6, 0.75, 0.9.
Example 2: Order the decimals 3.25, 3.5, 3.15
Start by comparing the whole numbers, which are all 3. Then, compare the tenths and hundredths places. 3.15 is smaller than 3.25. Next, compare 3.25 and 3.5. 3.25 is smaller than 3.5. So, the order is 3.15, 3.25, 3.5.
By following these steps and practicing with various examples, you can become proficient in ordering decimals.
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