Assignment: 01-Place Value
Place Value has a lot to do with knowing what the specific digits of a number mean. In sixth grade, we deal with place value up to the trillions. This includes everything from the ones column all the way up to the hundred-trillions column. Below is a picture which shows all of the places we will be dealing with: (Remember, you can click images to enlarge them)
There are two vocabulary words we need to become familiar with. Place which is the column the number lives in. Ex. The 5 in the above number is in the hundred trillions place. Value is how much each individual digit is worth. The 5 in the hundred trillions place is only a 5, but in actuality, it is worth five hundred trillion (500,000,000,000,000)
There are also four different ways we are going to work with writing numbers.
Standard Form is typically the first thing you think of when you think of a number. Whether it be 1, 47, or 577,800,000,000,000 as is pictured above. All of those are standard forms of numbers.
Word Form is what you say when you read a number. Using the same examples as with standard form they would be one, forty-seven, five hundred seventy-seven trillion, eight hundred billion.
Short-word- Form mixes words and numbers by breaking the groups of three apart. It is used most often with longer numbers such as 577 trillion, 800 billion.
Expanded Form breaks each place into it’s specific value and shows them adding together one by one. 47 = 40 + 7, or 577,800,000,000,000 = 500,000,000,000,000+70,000,000,000,000+7,000,000,000,000+800,000,000,000.
The one thing left to make note of is when you have a 0 in a place. Let’s say I have the number 2,003. Because zero times anything equals zero, (0 x 100 = 0, and 0 x 10 = 0), I only have to write out the place values for non-zero numbers. 2,003 would be written 2,000 + 3.