Arithmetic of Computers

Arithmetic of Computers

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Lesson 5

Coefficients

New names for old

Page 167

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Your answer :
9(102) + 7(101) + 3(100) + 4(10 − 1).
You are correct. the coefficients in the expanded form of a decimal number are the digits in the “normal” form of a number. Of course these coefficients in the expanded form must be written in the same sequence as the digits properly appear in the normal form. Furthermore, when a decimal number is written in the normal way, a decimal point must be used, or at least assumed, so we know what power of 10 each digit multiplies.
The normal form of the number shown in expanded form above is obviously 973.4.
All right - just how would you formally define the expanded form of a decimal number?
Answer :
The expanded form of a decimal number is one in which only the powers of ten are shown explicitly.

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The expanded form of a decimal number is one in which only the coefficients are shown explicitly.

Go to Page 173

The expanded form of a decimal number is one in which both the coefficients and the powers of ten are shown explicitly.

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