Compare Decimals: Is 0.250 Equal to 0.0250?

Question

Are the fractions equal?

0.250=?0.0250 0.250 \, \stackrel{?}{=} \, 0.0250

Step-by-Step Solution

To determine if the fractions are equal, compare the two decimal numbers:

0.250 0.250 and 0.0250 0.0250 .

The placement of zeros can affect the value, but in this case:

0.250 0.250 is equivalent to 2501000 \frac{250}{1000} , which simplifies to 14 \frac{1}{4} .

0.0250 0.0250 is equivalent to 25010000 \frac{250}{10000} , which simplifies to 140 \frac{1}{40} .

The fractions 14 \frac{1}{4} and 140 \frac{1}{40} are not equal, therefore:

0.2500.0250 0.250 \neq 0.0250

Answer

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