Write each decimal as a fraction. (Do not write in lowest terms.) 0.104
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Identify the decimal number: 0.104.
Recognize that the decimal has three digits after the decimal point.
Write the decimal as a fraction with the decimal number as the numerator and 1 followed by as many zeros as there are decimal places as the denominator: .
Ensure that the fraction represents the decimal correctly by checking the number of decimal places matches the number of zeros in the denominator.
Note that the problem specifies not to simplify the fraction, so leave it as .
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Decimal Representation
Decimals are a way of expressing numbers that are not whole, using a decimal point to separate the whole number part from the fractional part. For example, in the decimal 0.104, the '0' is the whole number part, and '104' represents the fractional part, indicating that it is a value slightly more than zero.
A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number). To convert a decimal to a fraction, you can express the decimal as a fraction with a denominator that is a power of ten, depending on the number of decimal places.
To convert a decimal to a fraction, identify the place value of the last digit in the decimal. For example, 0.104 has three decimal places, so it can be expressed as 104/1000. This process involves writing the decimal as a fraction with the appropriate denominator and the decimal's digits as the numerator.