Convert into fraction form:
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Convert into fraction form:
Let's pay attention to where the decimal point is located in the number.
Remember:
One number after the zero represents tens
Two numbers after the zero represent hundreds
Three numbers after the zero represent thousands
And so on
In this case, there are three numbers after the zero, so the number is divided by 1000
Let's write the fraction in the following way:
We'll then proceed to remove the unnecessary zeros and obtain the following:
Write the following fraction as a decimal:
\( \frac{1}{100}= \)
Count the number of digits after the decimal point! Each digit position represents a power of 10: 1 place = 10, 2 places = 100, 3 places = 1000, and so on.
The denominator must match the place value of the last digit. In 0.681, the 1 is in the thousandths place, so you need 1000 as the denominator to preserve the value.
Check if the numerator and denominator share common factors. In this case, 681 and 1000 don't share common factors, so is already simplified.
Leading zeros after the decimal point are important for place value! For example, 0.050 has 3 decimal places, so it becomes , which simplifies to .
Divide the numerator by the denominator using long division or a calculator. If you get the original decimal back, your conversion is correct!
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