Place Value

Whole numbers are made up of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. This system is the decimal system because the word “deci” is taken from the word “decimus” (latin) for one 10th. Therefore, there are ten digits that make up this system. Please know that there are other numbering systems (binary, hexadecimal, etc.), however this website will only discuss numbers in the decimal system.

The value of each digit is different because of its position in the number. Every position has a place value. The table below gives the names of some of the places in our number system.

Example 1:

If you wanted to know the place value of each digit in the number 94,567 you would find the following:

9 is in the ten thousands place
4 is in the thousands place
5 is in the hundreds place
6 is in the tens place
7 is in the ones place

When written, this number is read as:
Ninety-four thousand, five hundred sixty-seven

Example 2:

If you wanted to know the place value of each digit in the number 3,408,600 you would find the following:

3 is in the millions place
4 is in the hundred thousands place
0 is in the ten thousands place
8 is in the thousands place
6 is in the hundreds place
0 is in the tens place
0 is in the ones place

When written, this number is read as:

Three million, four hundred eight thousand, six hundred

Please notice that we only mention the places where there are numbers other than zeros.
You will need to be familiar with the place value of digits as you move forward with all mathematical operations.

 

 

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