By using this site, you are accepting "session" cookies, as set out in the site's Privacy Policy
Cookies are also used to remember which page of the book you last viewed, so that when you revisit the site you automatically return to the last page you visited.
You are correct. The decimal number 369 may be thought of as meaning
3(102) + 6(101) + 9(100) = 300 + 60 + 9 = 369
that is, three 100’s, six 10’s, and nine 1’s.
The decimal number 369 is actually a shorthand way of writing out the complete expression with powers of 10 shown explicitly, as we have done above. For this reason we say that the digits written in a decimal number are the coefficients of the powers of 10 that are to be summed to make up the number.
In an ordinary decimal number, such as 369, how do we know which power of 10 each coefficient is to multiply? For example, in 369, how do we know whether the 3 is the number of 100’s, the number of 10’s, or the number of 1’s?
Answer :
By the power of 10 it is shown multiplying in the number.
