Which decimal number is greater?
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Which decimal number is greater?
Let's first 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:
0.33 is divided by 100 because there are two digits after the decimal point, therefore:
Let's now compare the numbers in the denominator:
Therefore, the larger number is 0.33.
Which decimal number is greater?
Great question! You're thinking about whole numbers, but decimals work differently. 0.3 means 3 tenths, while 0.33 means 33 hundredths. When we convert to compare: 0.3 = 30 hundredths, and 33 > 30!
You can line up the decimal points and add zeros to make them the same length: 0.30 vs 0.33. Now compare digit by digit from left to right - the first different digit tells you which is larger!
Think of money! 0.33 is 33 cents. You'd rather have 33 cents than 30 cents, right? Same with decimals - 0.33 > 0.3.
Not always! Converting to fractions helps you understand why one decimal is bigger. But you can also compare by making both decimals have the same number of decimal places.
The same rules apply! Start comparing from the leftmost digit after the decimal point. The first position where the digits differ tells you which decimal is larger.
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