How do you find the place value of the denominator

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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How do you find the place value of the denominator
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Any number in the form pq,where q0 regraded as a fraction where p is called numerator and q is called denominator.

We abbreviate the common fraction 110by writing the decimal fraction 0.1; both values are read as "one-tenth". We call the first place-value after the decimal point the tenths position. Notice that the decimal place values end in -thsTens are whole values and tenths are fractional parts of the whole.

If we extend to the right one more column, that value would have to be the value that when we multiply it by ten it would equal one-tenth. That means the next column to the right would be the hundredths, since 10.1100=110. We abbreviate the common fraction 1100as the decimal fraction 0.01. Again notice the "ths" ending. Hundreds are whole values and hundredths are fractional parts of the whole.

 But when we write numbers without the table labels, we need to know where the place values change from whole numbers to fractions. That is the role of the decimal point. The decimal point separates the place values that are whole values on the left from the place values that are fractional parts on the right.

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