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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:
0.033
Write the following fraction as a decimal:
\( \frac{1}{100}= \)
When converting fractions to decimals, always move LEFT! Think of it as making the number smaller - dividing by 1000 makes 33 much smaller, so we get 0.033.
Count the zeros! 1000 has 3 zeros, so move the decimal point 3 places left. This works for any power of 10: 10 = 1 place, 100 = 2 places, 1000 = 3 places.
That's correct too! Trailing zeros after the decimal don't change the value. Both 0.033 and 0.0330 equal , but 0.033 is the simplified form.
Yes! Division is another way to convert fractions to decimals. 33 ÷ 1000 = 0.033. Both methods give the same answer, but understanding place value helps you work without a calculator.
Start with the numerator as a whole number: 33.0. Then count the zeros in the denominator and move left that many places. For 1000, move 3 places left: 33.0 → 0.033.
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