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Let's first multiply both the numerator and denominator by 2 to make the denominaor 1000:
Now let's rewrite the simple fraction as a decimal:
Since the fraction divides by 1000, we'll move the decimal point three places to the left:
Finally we can add a zero before the decimal point to get our answer:
0.012
Write the following fraction as a decimal:
\( \frac{5}{100}= \)
Multiplying by 2/2 converts the denominator to 1000, a power of ten! This makes decimal placement much easier since you just move the decimal point left by the number of zeros.
Count the zeros in the power-of-ten denominator. For 1000, there are 3 zeros, so move the decimal point 3 places to the left.
You can always use long division instead! Divide the numerator by the denominator: 6 ÷ 500 = 0.012. Both methods give the same answer.
Think of it as 12 thousandths. Since 1000 = 10³, each unit is 0.001. So 12 × 0.001 = 0.012.
Yes! after dividing by 2. But converting to a power-of-ten denominator is often easier for finding decimals.
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