Arithmetic of Computers

Arithmetic of Computers

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Lesson 5

Coefficients

New names for old

Page 165

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Your answer :
The expanded form of a decimal number is one in which only the powers of ten are shown explicitly.
Let’s consider the implications of your answer for a moment. If only powers of ten were shown in the expanded form, we would have something like this:
(103) + (102) + (101) + (100) + (10 − 1)etc.
This is not the expanded form of a decimal number, as we have learned it. The coefficient must be shown explicitly or we won’t have the faintest idea of how many times each power is to be used in the sum.
In fact, if you’ll think about the matter, you’ll realize that the powers of ten are exactly the same for all decimal numbers. Only the coefficients differ, ranging from zero to nine.
Please return to page 167 and pick another answer.
 

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