It is easier to compare decimals when you have the same number of decimal digits. Thus, we often write extra zeros to the right of the last digit of one of the decimals being compared. These extra zeros are place holders and do not change the value of the decimal.
However, if you inserted a zero between the decimal point and a decimal digit, that would change the value of the decimal. This is shown in the table below:.
In Examples 3 and 4, there were some problems in which the two decimals being compared did not have the same number of decimal digits. In these problems, we wrote one or more extra zeros to the right of the last digit of one decimal so that both decimals would have the same number of decimal digits. In the examples above, we used place-value charts to help us compare decimals. Let's try some examples without place-value charts.
Summary: To compare two decimals, start at the left and compare digits in the same place-value position. It is helpful to write one decimal below the other. It is also easier to compare decimals when you have the same number of decimal digits. Thus, when comparing two decimals, we can write one or more extra zeros to the right of the last digit of one decimal so that both decimals have the same number of decimal digits.
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Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? We see that [latex]0. So we know [latex]0. How does [latex]0. But if we convert [latex]0. Therefore, [latex]0.
Notice what we did in converting [latex]0. So [latex]0. Writing zeros at the end of a decimal does not change its value. They do not, so write one zero at the right of [latex]0. When we order negative decimals, it is important to remember how to order negative integers. Recall that larger numbers are to the right on the number line.
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