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:
0.25 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?
\( 0.1\stackrel{?}{=}0.10 \)
Great question! You actually can compare 33 and 25 when both decimals have the same number of decimal places. Since both 0.33 and 0.25 have two decimal places, comparing 33 > 25 works perfectly!
When decimals have different lengths (like 0.3 vs 0.25), add zeros to make them equal length: 0.30 vs 0.25. Now you can safely compare 30 > 25!
No! Converting to fractions helps you understand why the comparison works. For quick comparisons, just align decimal places and compare digit by digit from left to right.
Think of a number line: numbers get larger as you move right. Since 0.33 is further right than 0.25, we know 0.33 > 0.25. Visual methods can be very helpful!
Since both have two decimal places, just compare the numbers after removing the decimal: 33 vs 25. Since 33 > 25, we know 0.33 > 0.25!
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