Reduce the following fraction:
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Reduce the following fraction:
To reduce the decimal fraction , we eliminate the trailing zeros. Thus, becomes . As a result, the reduced fraction is .
Reduce the following fraction:
\( 0.30 \)
Trailing zeros are zeros that come at the end of a decimal number, after all the significant digits. In , the two zeros at the end are trailing zeros.
Trailing zeros don't change the value of a decimal! Think of money: 0.8400 both mean 84 cents. The extra zeros are just placeholder digits.
No! Only remove zeros at the very end. In , you cannot remove the middle zero because it's significant - it shows the value is 8040 thousandths, not 840 thousandths.
They represent the same value but with different precision. shows hundredths place accuracy, while shows thousandths place accuracy.
A decimal is simplified when it has no trailing zeros. The last digit should be non-zero, showing only the significant digits needed to represent the value.
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