what is 1o base system
- By poulina
|a. 999||b. 9000|
|c. 9999||d. 1000|
- By EduGain
Thanks for writing on ExamHelp.
I agree that most of the kids in this grade may not be aware about what is base of a number.
Let me explain,
When you right a number e.g. 364, how does it represent the value three hundred and sixt four.
This comes as following,
364 = 3*10*10 + 6*10 + 4
So digit at nth place (from right) carries weight of 10 multiplied n times.
So base value of 6 here is actually 60.
That is why these are called base-10 numbers.
When you go in higher grades, you will learn about numbers of base 2 (in a base2 numbers 1 + 1 = 10, strange for somebody who only known base-10 numbers).
Now, lets come to the question of finding count of 4 digit number,
Smallest 4 digit number = 1000
Largest 4 digit number = 9999
So total 4 digit numbers = (largest - smallest + 1) = 9999 - 1000 + 1 = 9000