Fill in the missing sign:
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Fill in the missing sign:
First let's compare the numbers.
We can see that, before the decimal point, both numbers start with 24.
After the decimal point, we also have the digit 3 in both numbers.
Then the digits are 0 in one number and 1 in the other.
Since 1 is greater than 0, the appropriate sign is the 'less-than' sign:
Reduce the following fraction:
\( 0.30 \)
The last digit's position matters! In 24.305 vs 24.315, both end in 5, but one 5 is in the thousandths place. You must compare place by place from left to right to find where they first differ.
Start from the left after the decimal point! Compare tenths first, then hundredths, then thousandths. Stop when you find the first place where the digits are different.
Add zeros to the right to make them the same length! For example, 24.3 becomes 24.300. This doesn't change the value but makes comparison easier.
Yes, but it's usually more work! Converting 24.305 = 24305/1000 and 24.315 = 24315/1000 works, but place-by-place comparison is much faster.
Use a number line or think about money! 24.305 dollars vs 24.315 dollars - which is more? The one with more cents (31.5¢ vs 30.5¢) is greater.
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