Chapter 2, Problem 1TFQ

The decimal number system is a weighted system with ten digits.

Program Plan Intro

To state whether the given statement is true/false.

Program Description Answer

True.

Explanation of Solution

Given Statement-

The decimal system is a weighted system with ten digits.

Explanation:

There are total of ten digits in the decimal system from 0, 1, 2 ...and so on up to 9.

For whole numbers, the weights are positive powers of ten that increase from right to left as follows-

${\mathrm{...10}}^5,{10}^4,{10}^3,{10}^2,{10}^1,{10}^0$

For fractional numbers, the weights are negative powers of ten that decrease from left to right as follows-

${\mathrm{...10}}^2,{10}^1,{10}^0,{10}^{-1},{10}^{-2},{10}^{-3}$

Therefore, the given statement is true .