Write each decimal as a fraction. (Do not write in lowest terms.) 0.4
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Identify the decimal number: 0.4.
Recognize that the decimal 0.4 can be expressed as because the digit 4 is in the tenths place.
Write the fraction without simplifying it.
Ensure that the fraction represents the decimal correctly by considering the place value of the decimal.
Verify that the fraction is equivalent to the decimal 0.4.
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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 0.4, the '4' is in the tenths place, indicating that it represents four-tenths of a whole.
A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (the top number) and a denominator (the bottom number). To convert a decimal to a fraction, one identifies the place value of the decimal and uses it to form the fraction, such as 0.4 being equivalent to 4/10.
When instructed not to write a fraction in lowest terms, it means to present the fraction as it is derived from the decimal without simplifying it. For instance, 4/10 is the direct conversion of 0.4 and is not reduced to 2/5, which would be its lowest terms.