Reduce the following fraction:
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Reduce the following fraction:
To reduce the fraction , we look to express it in its simplest form. By removing trailing zeros, we arrive at , which is the same value and represents the simplest form of the number. The trailing zeros in a decimal do not affect its value.
Reduce the following fraction:
\( 0.30 \)
Trailing zeros are placeholders that don't affect value, like writing 5.00 instead of 5. But zeros between the decimal and other digits are significant - removing them changes the number completely!
Yes! Both represent 6 tenths. The extra zeros just show more decimal places without adding value. It's like saying 'six tenths' versus 'six tenths and zero hundredths and zero thousandths.'
Keep trailing zeros when they show precision in measurements (like 2.50 meters) or when specifically required. For basic math simplification, remove them to get the simplest form.
Never remove zeros from the middle! For example, in , the zero is significant and must stay. Only remove zeros at the very end after all other digits.
A decimal is in simplest form when it has no unnecessary trailing zeros. If removing the last digit changes the value, then it's needed and you're already simplified!
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