Which decimal number is greater?
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Which decimal number is greater?
Let's convert the decimal numbers into simple fractions and compare them:
0.3 is divided by 10 because there is only one digit after the decimal point, therefore:
0.29 is divided by 100 because there are two digits after the decimal point, therefore:
Let's now compare the numbers in the denominator to determine our answer:
Therefore, the larger number is 0.29.
Are they the same numbers?
\( 0.1\stackrel{?}{=}0.10 \)
The number of digits doesn't determine size in decimals! Think of it like money: $0.30 (30 cents) is more than $0.29 (29 cents), even though 29 has more digits than 3.
Add zeros to make them the same length: 0.3 becomes 0.30. Now you can easily see that 0.30 > 0.29 by comparing the hundredths place (0 vs 9 doesn't matter since 3 > 2 in tenths).
Not necessarily! Converting to fractions works, but it's often easier to line up decimal points and compare place by place. Use fractions only when the decimal method feels confusing.
Start comparing from the leftmost digit after the decimal point. As soon as you find a place where the digits are different, the number with the larger digit in that position is greater!
The denominator depends on the rightmost decimal place:
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