Attention Getting Question:
You just achieved the highest score on your favorite video game! Wow! That is a huge number! You want to tell your friend your score, but how?
The position of the number helps you understand its value. You can use what you already know about ones, tens, and hundreds to read larger numbers.
There are three ways to represent a whole number.Numbers can be written in standard form, word form, or expanded form.
Standard form is the number representedin digits. Digits are 0 and 1 - 9. All numbersare made from these ten digits. The digitsare grouped in sets of three called periods. Think of each period as a house. The periods together make a number like the houses together make a block. Each digit is in a place and has a specific value. These values follow a pattern.The periods begin with single units and include the numbers 1 through 999. The unit places are named ones, tens, and hundreds. We apply this knowledge to every period that follows.
Another way to represent a number is word form. Word form is how you say a numberor how it is written in words.
When reading a number, you read each period as a three digit number, name the period at the comma,and then read the next period. Here is an example: the number 345,901. (Read as three, four, five, comma, nine, zero, one). To read that correctly you say, “Three hundred forty-five thousand, nine hundred one.”
That same pattern is followed, no matter how large the number. Let’s see if you can read your score now: 1,289,345,901. (Read as one, comma, two, eight, nine, comma, three, four, five, comma, nine, zero, one.) The four periods in this number are the unitsperiod, the thousands, the millions, and the billions. If you know that, it is easy to read: one billion, two hundred eighty-nine million, three hundred forty-five thousand, nine hundred one.
It is just like reading three digit numbers, and when you see a comma, you say the period name.
The final way to represent a number is expandedform. Expanded form shows the value of each digit.If we expand the number 345,901, it looks like 300,000 + 40,000 + 5,000 + 900 + 1. An easy way to determine expanded form is to replace all numbers to the right of the selected digit with a zero.
So, you can use what you already know about ones, tens, and hundreds to read larger numbers. All numbers are built off of your understanding of ones, tens, hundreds, and the period in which they belong. It is the position of the number that helps you understand its value.