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You are correct. In numbers written in the common decimal system, the right-hand digit, which is the coefficient of 100, represents the number of 1’s; the next digit to the left, which is the coefficient of 101, represents the number of 10’s; and so on.
Now, so far we have discussed whole numbers in the decimal system. But in decimal fractions, the digits written are the number of .1’s, .01’s, .001’s and so on, are they not? For example, .324 means three .1’s, two .01’s, and four .001’s. So we can consider these digits also as coefficients of powers of 10. In this case they are the coefficients of negative powers.
In the decimal number 142.67, what is the coefficient of 10 − 1?
