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You will. We tried to sneak this through too fast. Let’s slow down.
What we were trying to say was this: In an ordinary decimal number, such as 527, the digits 5, 2, and 7 tell us how many 100’s, how many 10’s, and how many 1’s are to be used to make up the number. The number 527 means: add five 100’s, two 10’s, and seven 1’s. Now, since 100, 10, and 1 are the 2nd, 1st, and 0 powers of 10, we can think of the number 527 as meaning
5(102) + 2(101) + 7(100).
You see, in this expression the decimal digits appear as coefficients of each of the powers of 10 used. The coefficient of 102 tells us how many 100’s to use, the coefficient of 101 tells us how many 10’s to use, and the coefficient of 100 tells us how many 1’s to use.
Now, our problem was: “What is the coefficient of 102 in the decimal number 369?” In other words, what digit in 369 tells us how many 100’s there are in the sum 369?
Now return to Page 158 and choose the right answer.
