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Basic Skills
Scientific Notation
Example 1
Use a calculator to evaluate each expression:
(a) 65,000 x 3,400,000, (b) .000000348÷
Solutions:
(a) Rewrite as “6.5 E 4” and “3.4 E 9”
Push 6.5 2nd^ , 4 x 3.4 2nd^ , 9 =
This implies that 65000 x 3400000000 = 2.21 E 14 = 221,000,000,000,
(b) Rewrite as “3.48 E -7” and “8.7 E 2”
Push 3.48 2nd^ , (-) 7 ÷ 8.7 2nd^ , 2 =
This implies that .000000348÷870 = 4 E - =.
Example (2)
Evaluate the following expression by hand and then use scientific notation on the calculator to check your answer.
By Hand:
On Calculator: (2.4E9 x 4.5E-6)/(3E-5 x 1.5E3) =?
So,
Exponents/Roots/Absolute Value
Exponents (^) and x^2
(a) (b)
(c)
Roots
(a) 2 nd^ x^2 9 = (b) Math #4 27 = (c) 4 Math #5 16 =
Absolute value
(a) Math Num #1abs -3 = (b) Math Num #1abs 7 =
Fixing Syntax Errors
Syntax error is when you might enter something on the calculator in the wrong order or some kind of typo. Here are some examples of common errors:
- Using subtraction instead of (-)
- Using multiplication instead of X,T,Ө
- Hitting the same button twice
Creating a Scatter Plot
A scatter plot is a graph of data points. To graph the data, we must first enter our data (x and y values) into the calculator. We enter these values into lists. So, first we must become familiar with using lists.
To access the lists:
Press the stat button and choose #1, edit. You will see the following screen.
The values that are in these two lists might vary from the lists on your calculator.
To clear a list, use the arrow buttons to move the cursor on L1 (or whichever list you want to clear) and press clear enter.
DO NOT press delete when on the name of the list. This will delete the list rather that clear the column. If you do accidentally delete a list, hit stat #5 enter.
Entering data in a list:
Typically (but not always) L1 is used for x values and L2 is used for y values.
x -4 -3 -2 -1 0 1 2 3 4 y -1 .5 3 7 -5 8 2 0 4.
Once you clear L1 and L2, place the cursor in the L1 column and type in the first x value, -4, and hit enter. Continue this procedure until all x values are entered. Then move the cursor to the L2 column and do the same to enter the y values. When you are done entering the data you wish to plot, you should be able to see all the values in the list.
Before we try to plot the data, we need to make sure the scatterplot is set up properly. To get to the set-up screen press 2nd^ Y=.
Notice that there are three possible plots. Since we are plotting one set of data, we only need to use one plot. Only one plot should be turned on. Let’s use plot #1. Press enter on plot #1.
Be sure to turn the plot on by pressing enter while the cursor is blinking on ON.
You can choose the type of graph to plot under type. The first choice represents a scatterplot. Make sure that L1 represents the x values and L represents the y values. Lastly, you can customize your graph by choosing what symbol you prefer to represent the points.
Once you have the set up complete, hit the Zoom button and choose option 9:ZoomSTAT. This will automatically set your window and graph. If you want to set the window manually, hit the Window button instead of Zoom, choose the min and max values and hit graph.
In Summary, it is a 3 step process to create a scatterplot on your graphing calculator.
- Tell the calculator which points to plot.stat 1:edit
- Tell the calculator to draw the points. 2 nd^ Y=
- Look at the points. Zoom 9:ZoomSTAT
