Learn Before
Comparing and Using Equivalent Decimals
To determine which is larger, or , convert both decimals to fractions with the same power-of-ten denominator. The decimal already has three decimal places, so it equals . The decimal has only two decimal places, giving . To obtain a denominator of , multiply numerator and denominator by : . Because , it follows that , and therefore .
The essential insight is that and are equivalent decimals — appending a trailing zero does not change the value. Once both numbers are expressed with the same number of decimal places, comparing them is as straightforward as comparing two whole numbers.
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Ch.1 Foundations - Elementary Algebra @ OpenStax
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Procedure for Adding or Subtracting Decimals
Comparing and Using Equivalent Decimals
Procedure for Ordering Decimals
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Learn After
A technician needs to compare a measurement of 0.31 centimeters to a standard of 0.308 centimeters. Which of the following is an equivalent decimal to 0.31 that has the same number of decimal places as 0.308?
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