Determine which decimal number is greater:
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Determine which decimal number is greater:
Firstly, let's convert the decimal numbers into simple fractions and compare them:
0.32 is divided by 100 because there are two digits after the decimal point, therefore:
0.33 is divided by 100 because there are two digits after the decimal point, therefore:
Now let's compare the numbers in the numerator:
Therefore, the larger number is 0.33.
Are they the same numbers?
\( 0.23\stackrel{?}{=}0.32 \)
Converting to fractions like and makes the comparison crystal clear! You can easily see that 33 > 32, so the first decimal is larger.
Add zeros to make them the same length! For example, compare 0.3 and 0.32 by writing 0.30 and 0.32. Now you can see that 30 < 32, so 0.30 < 0.32.
Yes! Line up the decimal points and compare digit by digit from left to right. For 0.33 vs 0.32: both have 3 in tenths place, but 3 > 2 in hundredths place, so 0.33 is greater.
Not always! The denominator depends on decimal places:
Use the number line trick! Imagine both decimals on a number line - the one further to the right is always greater. Or think: "Which would you rather have as dollars? $0.33 or $0.32?"
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