Compare Decimals: Is 0.25 Equal to 0.052?

Question

Are the fractions equal?

0.25=?0.052 0.25 \stackrel{?}{=} 0.052

Step-by-Step Solution

To determine if these two decimal fractions are equal, we compare the numbers directly. The first number is 0.25 0.25 , which is equivalent to the fraction 25100 \frac{25}{100} . The second number is 0.052 0.052 , which is equivalent to the fraction 521000 \frac{52}{1000} .

First, let's convert 0.25 0.25 to thousandths to compare it directly with 0.052 0.052 :

0.25=25100=2501000 0.25 = \frac{25}{100} = \frac{250}{1000}

Now, compare 2501000 \frac{250}{1000} and 521000 \frac{52}{1000} : clearly, 25052 250 \neq 52 .

Therefore, 0.250.052 0.25 \neq 0.052 , making the expression false.

Answer

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