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3-4 Everything Decimals CH 3]

NUMBER PLACEMENT VALUE

thousands hundreds tens ones Decimal Point tenths hundredths thousandths

1 1 1 1 . 1 1 1
(1/10 of 10,000) (1/10 of 1000) (1/10 of 100) (1/10 of10) (1/10 of 1) (1/10 of 1/10) (1/10 of 1/100)

1/10 x 10,000 = 1,000 1/10 x 100 = 10 1/10 x 1 = 0.1 1.10 x 1/100 = 0.001
1/10 x 1,000 = 100 1/10 x 10 = 1 1/10 x 1/10 = 0.01

9 6 3 5 . 7 5 3

Thousands tens tenths thousandths
Hundreds ones hundredths
Decimal Point

Figure 3.3 Decimal Value

there is no whole-number portion such as in the number 0.25, the zero value is the absence
of a whole number. A mixed decimal fraction, such as 735.46, is composed of both a decimal
fraction and a whole number). Rarely, would you encounter a complex decimal. A complex
decimal is a decimal fraction that contains a decimal value and also contains a fraction
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Concatenate: (0.564 / 4 ). It is best to convert the fraction element to its equivalent form and concatenate it
Link (things) to the decimal fraction, thus 0.564 / 4 becomes 0.56475; a decimal fraction that has five
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together in a
chain or series. digits to the right of the decimal. Then based on what your decimal fraction is being used in,
To join two round up or down as required.
words into one. Let’s say that the decimal fraction 0.56475 is in dollars. When rounded so that there are
only two digits to the right of the decimal point, the number 0.56475 becomes 0.56. If the
Example with work requires that you round to three digits to the right of the decimal point then 0.56475
Greek words in becomes 0.565.
English: When a number contains a decimal point, the point is read as either “point” or "and."
Economics
means home When reading mixed numbers or mixed decimals, the phrasing used to indicate the fraction
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management. portion of a complex decimal, such as 23.65 / 4 would be read as “twenty three ‘point’ sixty-
Macro means five ‘and’ three-quarters.” The name applied to a decimal number is determined by the place
large. Micro occupied by the last whole digit to the right of the decimal point. The number examples in
means small. Figure 3.4 are read as follows:
You will take two
economics
courses and one A. Three hundred sixty-two point four or three hundred sixty-two and four tenths.
is B. Twenty-nine point twenty-five or twenty-nine and twenty-five hundredths.
Microeconomics C. Zero point two hundred forty-five or two hundred forty-five thousandths.
and the other is D. Zero point zero, zero, zero thirty-five or thirty-five hundred thousandths.
Macroeconomics E. Zero point three hundred fifty-six and one-half or three hundred fifty-six and
. Micro and one-half thousandths.
Macro have been F. Zero point zero 8 and one-quarter thousandths or Eight and one-quarter
concatenated to
the word hundredths.
economics and
freely translated Notice that 0.000¼ means ¼ of 1/1,000 and that 0.00 ½ means ½ of 1/100.
mean, small
home CONVERTING FRACTIONS TO DECIMAL NUMBERS
management
and large home Equivalent Fraction and Decimal
management.
To be proficient at using fractions and decimal fractions, you should know how to
transform an equivalent fraction an equivalent decimal fraction.
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