To answer your question let's look at one example, the number 345. The 3 tells us there are 3 hundreds. It is in the position that is 3rd from the right. The 4 tells us there are 4 tens and it is the digit 2 from the right, and the 5 tells us there are 5 ones and it is the right most or ones digit. The ways to think of this, in our usual base 10, is that each digit's position is a power of 10. The ones are 10^0 since 10^=1. The next digit is 10's and we view it as 10^1. Then the hundreds since the third position is 10^2. So we have 5x10^0+ 4x10^2+3x10^3, Some might say why bother with all this? There are many answers, but one reason is that thinking of the numbers and digits this way lets us easily change to any other base, such as base 2 or 8. In the case of base 2 the right most digit is 2^0 or 1, the next is 2^1 or 2's, then 2^2 or 4s etc.
the numerical part or digits represent some value
645 is a 3-digit number. A single digit in a number can have a place value. A number with several digits cannot.
In the number 3873, the value of 8 is 800. The value of a digit in a number is determined by its place or position in the number. In this case, the 8 is in the hundreds place, so it represents 800.
In the decimal number system, the place value of 5 depends on its position in the number. If 5 is in the ones place, its value is 5. If 5 is in the tens place, its value is 50. If 5 is in the hundreds place, its value is 500, and so on. Each position to the left represents a value that is 10 times greater than the position to its right.
Zero represents a set with no elements.The purpose of zero as a digit: In our decimal numbering system, in any number you use, for example 512, each of the digits has its own value, but it also has a value that depends on its position. For example, 5 is not simply 5, it is 5x100, because of the position where it appears. Often, a zero will be needed as a placeholder, to "push" other digits further to the left. For example, 107 is not the same as 17. The zero is required to put the 1 "into its rightful place".
the numerical part or digits represent some value
The decimal system uses the digits 0-9 to represent numbers. Each digit's value is determined by its position in a number. For example, in the number 573, the digit 5 represents 500, the digit 7 represents 70, and the digit 3 represents 3.
The value of a digit depends on its position as well as its face value.
It is 5 whose place value represents 500
The number 2637 has four digits. Each digit represents a place value: thousands, hundreds, tens, and units. Therefore, the digits are 2, 6, 3, and 7.
645 is a 3-digit number. A single digit in a number can have a place value. A number with several digits cannot.
The face value of the digits is their individual value, so the 7 is seven and the 3 is threeThe local value of the digits takes into account their position in the number, so the 7 is seven thousand and the 3 is thirty.
In the number 762591, the value of 6 is determined by its position as the hundred-thousands place. This means it represents 600,000. Thus, the value of 6 in this number is 600,000.
The standard form of six million sixty thousand fifty is 6,060,050. This form represents the number in terms of its place value, with the digits arranged from largest to smallest value. In this case, the number is broken down into millions, thousands, and units, with each digit's position indicating its value within the number.
The bold digit 7 has a value of 7 in the number 72.4. It represents 7 units or ones.
111,011,111
00000272