Are the fractions equal?
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Are the fractions equal?
To determine if the fractions are equal, examine each digit of the decimal numbers.
In the number , the digits are 0, 7, and 7.
In the number , the digits are 0, 7, 0, and 7.
The first fraction, , has no digit in the thousandths place, but the second fraction, , contains a zero in the thousandths place.
Thus, .
Which decimal number is greater?
That zero is in the thousandths place, which makes the number smaller! Think of it as 7007/10000 vs 707/1000. The zero matters because it affects the actual value.
Add trailing zeros to make them the same length: 0.707 becomes 0.7070. Now compare: 0.7070 vs 0.7007. You can clearly see they're different!
Line them up by decimal point and compare digit by digit from left to right. The first place where digits differ tells you they're not equal.
Absolutely! and . Since the numerators and denominators are different, the fractions aren't equal.
No! Adding zeros to the right doesn't change value: 0.5 = 0.50 = 0.500. But zeros in the middle (like between 7s) do change the value!
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