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Let's write the simple fraction as a decimal fraction:
Since the fraction is divided by 1000, we move the decimal point three places to the left:
Now let's add the zero before the decimal point and we get:
0.3
Write the following fraction as a decimal:
\( \frac{1}{100}= \)
When you divide by powers of 10, the number gets smaller, so the decimal moves left. Think of it this way: means 300 parts out of 1000, which is less than 1 whole!
Count the zeros in the denominator! 1000 has 3 zeros, so move 3 places left. 100 has 2 zeros = 2 places left. 10 has 1 zero = 1 place left.
Every whole number has an invisible decimal point at the end! So 300 is really 300.0, and you can move that decimal point as needed.
Yes! . Both methods work, but the decimal point rule is often faster for powers of 10.
Trailing zeros after the decimal (like 0.3000) don't change the value! You can drop them to write 0.3. Both 0.3 and 0.3000 mean the same thing.
Multiply your decimal answer by the original denominator: 0.3 × 1000 = 300 ✓. If you get back to the original numerator, you're correct!
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