Compare Decimals: Is 0.505 Equal to 0.5005?

Question

Are the fractions equal?

0.505=?0.5005 0.505 \stackrel{?}{=} 0.5005

Step-by-Step Solution

To determine if the fractions are equal, we compare the decimal numbers carefully.

In 0.505 0.505 , the digits are 0, 5, 0, and 5.

In 0.5005 0.5005 , the digits are 0, 5, 0, 0, and 5.

The first fraction, 0.505 0.505 , has no digit in the thousandths place, whereas the second fraction, 0.5005 0.5005 , has a zero in the thousandths place.

Therefore, 0.5050.5005 0.505 \neq 0.5005 .

Answer

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