SCIENTIFIC CALCULATOR

11. Natural logarithms, and the powers of E using the calculator

Natural logarithms, like are able to be analyzed using the calculatorusing key key. The second purpose of this key ( ) allows the calculation of power that are equal to . It is important to note that an approximate value for the key itself is determined using the key sequence ( ).

Keep in mind that is the same thing as ln. Certain calculators use key instead of key in place of .

20. Calculating natural logarithms and the powers of E

Find the value for each of the following with your calculator and then give each answer to three significant figures.

Find the answer

12 Calculator reference guide

Calculator different modes

General methods

The calculator is able to operate in a variety of different modes:

  • COMP is a term used to perform general calculations.
  • STAT is a statistical program that can be used to calculate statistics.
  • TABLE is a tool used to create tables using numbers.

COMP is a short form for 'computation and STAT is short for'statistics'..

The Comp mode can be selected following the sequence of keys (COMP).

Mathematics models

There are two ways that mathematics can be entered into and displayed on the calculator:

  • Math mode, where fractions are entered and shown in their mathematical form For instance, some numbers that are not mathematical can be displayed in surds (such as ) or multiples of (such as ).Math mode can be selected selecting the keysequence (SETUP) (MthIO).
  • Linear mode, in which fractions such as are entered and displayed using a linear notation - for example, 2 3 - and all irrational numbers (such as and ) are displayed as decimal approximations.Linear mode is selected by using the key sequence (SETUP) (LineIO).

Simply put, an irrational number is one that can't be expressed in a simple fraction.

You will know you are in Math mode when the word Math appears near the right-hand uppermost part of your calculator display. If it isn't it means you are in Linear mode.

In Math mode you can make the answer to display in decimal form the decimal option, and switch between decimal and mathematical outputs by using .

Fraction display modes

You can configure the calculator to ensure that the answers that are heavy on top (such such as ) can be always presented in mixed number format (such such ).

  • To make your calculator to display as mixed numbers, you must use this key sequence (SETUP) (ab/c).
  • To make the calculator to display top-heavy fractions, you must use this key sequence (SETUP) (d/c).

Decimal display modes

The calculator can be programmed to show decimal numbers in a variety of different ways:

  • Normal 1 (Norm 1) mode employs scientific notation for any number that is less than 0.01 but higher than -0.01 and displays the answers in whatever decimal places they are up to the maximum that can fit on the screen. This mode can be entered by using (SETUP) (Norm) .
  • Normal 2 (Norm 2) mode employs scientific notation for any number smaller than 0.000000001 but higher than -0.000000001 however, it displays the answers in whatever decimal places they are in the limit that can fit on the screen. This mode can be entered by using (SETUP) (Norm) .
  • The mode of scientific notation (Sci) displays the decimal number in scientific notation with the specified number of important figures. This mode can be set using (SETUP) (Sci) followed by the amount of significant figures needed such as . If you are using your calculator is in this mode, the indicator on your display is displayed.
  • The fixed decimal Mode with fixed decimal places (Fix) displays all decimal numbers in the specified amount of decimal spaces (unless the use of scientific notation required to make the results fit on the screen). This mode can be set using (SETUP) (Fix) followed by the decimal number needed, for instance . If you are using your calculator is set in this mode, you will see the indicator on your display. FIX will be displayed.

12.1 Display indicators

These are the symbols displayed in the calculator display to show its status at present.

Symbol on display Meaning
It appears that the key was hit.
It appears that the key was hit.
M A value is saved in the memory 'M.
STO The key STORE ( (STO)) was hit.
RCL The RECAL ( ) key is hit.
The calculator is calibrated to measure angles in degrees.
The calculator is calibrated to measure angles in Radians.
The calculator is designed to measure angles in Gradians.
FIX The calculator will display results to a predetermined amount of decimal points.
SCI The calculator will show answers in scientific notation , with a an undetermined number of important figures.
Math It is important that the calculator has been set to make use of Math mode to the input as well as display.
STAT The calculator is in stats mode.
There's more information available that can be displayed and it is accessible by using the up and down cursor keys.
The line shown is larger than what is possible to fit on the screen. Other lines are displayed by scrolling with the left and right cursor keys as well .

12.2 Common operations

To Key sequence
Turn on
Turn off (OFF)Note this calculator will shut down automatically when it is not used for approximately 6 minutes.
Change the contrast of the display. (SETUP) () then use it and adjust, then press when completed.
Restore the factory settings (CLR) (Setup) (Yes)
Clean the contents of all memories (CLR) (Memory) (Yes)
Restore the default settings , and then erase all memory (CLR) (All) (Yes)
You can cancel a calculation, or quit menus
Find an answer
Find a decimal answer using Math mode
Switch between decimal and exact results in Math mode
Switch between showing fractions as mixed numbers or improper fractions in Math mode
Utilize the results of earlier calculation...
... e.g. to find 42 times the previous result.
Write a value into the memory 'M' (STO) (M)
Clear a value that is stored in the memory of M (STO) (M)
Include a value in the memory 'M'
Subtract a value from the one stored in the memory 'M' (M-)
Display the value that is stored in the memory 'M'. (M)
Utilize the value stored in the memory 'M' in the calculation...
... e.g. to find 42 less the value of the memory 'M' (M)
The angles that are that will be measured using degrees (SETUP) (Deg)
The angles that are measured will be in Radians (SETUP) (Rad)
Set the answers to be displayed in 3 decimal places (To choose a different number of decimal places, substitute with the number) (SETUP) (Fix)
Answers to questions are presented in scientific notation using three significant figures (To choose a different number of important figures substitute the number with the one you want to use.) (SETUP) (Sci)
You can cancel any settings for display rounding. (SETUP) (Norm)

The A B, C, D, X and Y memories function similarly to the memory M, with the exception they do not have add to' or subtract from' functions.


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