Are the fractions equal?
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Are the fractions equal?
To determine if these two decimal fractions are equal, we compare the numbers directly. The first number is , which is equivalent to the fraction . The second number is , which is equivalent to the fraction .
First, let's convert to thousandths to compare it directly with :
Now, compare and : clearly, .
Therefore, , making the expression false.
Which decimal number is greater?
The number of digits doesn't determine size in decimals! For example, 0.5 is bigger than 0.499 even though 0.499 has more digits. Always compare place values, not digit count.
Add zeros to make both decimals have the same number of decimal places. So 0.25 becomes 0.250, then compare: is 250 thousandths equal to 52 thousandths?
Even when decimals look different, use the same comparison method. Convert to equivalent fractions: vs makes the difference clear!
Absolutely! Converting to fractions often makes comparison easier: 0.25 = and 0.052 = .
Yes! Notice that 0.25 = = 25%, while 0.052 is about 5%. Since 25% ≠ 5%, the decimals can't be equal.
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