Presentation on theme: "Place Value System For Whole Numbers. This is how the place value structure for whole numbers works: Millions HTOHTOHTO 582107639 ThousandsOnes Note that."— Presentation transcript:
Place Value System For Whole Numbers
This is how the place value structure for whole numbers works: Millions HTOHTOHTO ThousandsOnes Note that each room in the place value house above is ten times larger than the one to its immediate right.
This is how the place value structure for whole numbers works: Millions HTOHTOHTO ThousandsOnes The above diagram shows how the number five hundred and eighty two million, one hundred and seven thousand, six hundred and thirty nine Is structured and how the digits are grouped in lots of three.
How Does Counting Work? In our number system there are 10 digits available, namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. After nine comes ten of course, but there is no symbol for ten. This is where our place value structure comes in and now the number of tens and ones are recorded using 2 digits, one in the tens column and the second in the ones column.
How Does Counting Work? For example, the number twenty eight is written using digits as 28. This means there are 2 tens and 8 ones. Similarly, once 99 is reached, another column is required and now the number of hundreds are recorded as well.
How Does Counting Work? For example, 756 represents 7 hundreds, 5 tens and 6 ones. Or, it represents 75 tens and 6 ones… Or, it represents 756 ones.
How Does Counting Work? This system continues indefinitely. We have 10 digits available to use and the prefix deci means ten, hence this is called the decimal counting system.
How Does Counting Work? There are as many other counting systems as you would like, but the popular ones (especially in computer science) are binary (2 digits) and hexadecimal (16 digits).
Writing in Expanded Form Sometimes the structure of a number is of interest, so it can be written in expanded form to shed light on this structure.
Writing in Expanded Form EG Write in expanded form.
Writing in Expanded Form EG Write in expanded form. 8× × ×1000+9×100+1×1
Writing in Expanded Form EG Write in expanded form. 8× × ×1000+9×100+1×1 In the compact version of the number, the zeros are just place holders and are not required in the expanded form.