To enter the Calculation application, highlight the app using the directional keys. Press the ok key to enter the application. This application allows you to perform a variety of computations involving complex numbers, matrices, trigonometry, combinatorics, derivatives, integrals, and unit conversions.
Begin by entering the Calculation application. Do this by highlighting the app on the home screen using the arrow keys. Press the ok key to confirm.
To enter your first calculation:
The result of your most recent calculation will appear in the calculation history located just above the editing bar. The history lines include the calculation entered, which appears on the left, and the result, which appears on the right. You will receive both an exact result and a decimal result for your calculation when applicable. Exact results are displayed in black and the decimal results are displayed in gray.
You may navigate between elements of the calculation history lines by using the updown and leftright keys. Once an element is selected, it will be highlighted in gray. Selecting an element within a history line allows you to view all information relevant to your calculation. For example, calculations using decimal numbers will return only a decimal result. To view the exact result, select your desired history line and the exact result will appear.
To facilitate reading, the result of calculations with a decimal number is always given in decimal form: $0.1+0.3$ will return $0.4$ while $\frac{1}{10}+\frac{3}{10}$ will give $\frac{2}{5}$.
The exact result of your most recent calculation may be used in the expression of a new calculation. To do this, press the ans key. The expression Ans
will appear in the editing line. This expression represents the result of your most recent calculation. You may then perform calculations on this result.
You may also perform a single operation directly to your most recent result by pressing an operation key. For example, you can add 5 to your last calculation by pressing the plus key followed by the five key. The calculation editor will display Ans+5
. Once executed, the value of your most recent result will replace Ans
.
Because the NumWorks calculator only contains one minus key, pressing the minus key will display

to represent a negative value. Press the minus again to displayAns
.
Results and previous entries in the calculation history may be used in the expression of a new calculation. Use the updown and leftright keys to highlight your desired element. You may choose between the exact and approximate results. Once your element is highlighted, press the ok key to confirm. The element is then displayed in the editing bar at the bottom of the screen.
Line items in the calculation history may be deleted. To delete a line, use the updown keys to highlight an item from the line you wish to delete. Press del to delete the line.
To delete all lines of the calculation history, press shift followed by del.
With the NumWorks calculator, you may calculate using both complex and real numbers. Your results may be displayed in three different forms:
When the calculator is using polar form, the angle in the exponent is always given in radians, even if the calculator is set in degrees mode.
To choose the form:
The modulus, argument, real part, imaginary part and conjugate can be calculated while in the Calculation application. There are three ways to calculate these values:
First option: Toolbox menu
Second option: Manual entry
You may manually enter the functions used to calculate these values. Enter these syntaxes to calculate your desired value:
abs(z)
arg(z)
re(z)
im(z)
conj(z)
Third option: Additional results
When entering a matrix in the Calculation application, a template will appear in the editing bar. Grey boxes indicate a space that can be filled with a number. Yellow boxes indicate a space that must be filled to complete the matrix. There are two ways to enter a matrix:
You may store a matrix and access it in the variables menu. This allows you to use the matrix in later calculations. To store a matrix:
To use a capital letter, press shift then alpha. Your desired letter will now be entered as a capital letter.
You can perform calculations using more than one matrix:
M1+M2
M1M2
M1*M2
You can also perform calculations with a number and a matrix:
4*M1
M1^5
M1^(1)
The inverse, determinant, transpose, trace and size can be found for a matrix. There are three ways to determine these values:
First option: Toolbox menu
Second option: Manual entry
You may manually enter the functions used to calculate these values. Enter these syntaxes to calculate your desired value:
inverse(M)
det(M)
transpose(M)
trace(M)
dim(M)
ref(M)
rref(M)
Third option: Additional results
There are three ways to create a list of values:
First option: Toolbox menu
New list
option.You can also generate a list using a function:
{f(k)}
option.k≤5
will create a list of 5 values using your function.Second option: Manual entry
Third option: Data tables
Lists are automatically created for the columns of the data tables in the Statistics (N1, V1, etc) and Regression (X1, Y1, etc) applications.
You may store a list in the variables menu. This allows you to use the list in later calculations or within other applications. To store a list:
To use a capital letter, press shift then alpha. Your desired letter will now be entered as a capital letter.
You can call an element using parentheses. In all lists, the index of the first element is 1. To call the fourth element of the list L, you can therefore type L(4)
.
You can perform calculations using one or more lists:
Assume L
is a stored list.
L+2
L2
L*2
L/2
Assume L
and R
are stored lists with the same number of elements.
L+R
LR
L*R
L/R
The following statistical values can be computed for a given list:
mean(L)
stddev(L)
samplestddev(L)
med(L)
var(L)
To compute a statistical value of a list:
The following operations can be performed on a given list:
dim(L)
min(L)
max(L)
sort(L)
sum(L)
prod(L)
To perform an operation on a list:
You may use units and constants in your calculations. Once you perform your calculation, the result will be returned along with the most suitable unit. There are two ways to enter units and constants:
To lock your keyboard in alphabetical mode, press alpha twice. This will allow you to enter letters without pressing alpha each time. Press alpha to unlock alpha mode.
To convert units, use the arrow on the keyboard accessible via shift and then pow. For example, to convert 185 minutes to hours, type: 185min→h
.
You may also choose
a→b
in the toolbox menu.
When you complete a calculation, the NumWorks calculator searches for relevant additional results.
It is possible to navigate in the calculation history to show additional information on the results of particular calculations. If three dots appears on the right side of a calculation when an item is highlighted in the calculation history, additional results are available. Highlight the three dots and press the ok key to display the additional results.
When the result is an integer, the calculator gives the following additional results:
When the result is a fraction, the calculator gives the following additional results:
When the result is the output of a basic function, the calculator gives the following additional results:
When the result or the input involves a trigonometric funcion like sin(x)
or arccos(x)
, the calculator gives the following additional results:
When the result is a complex number, the calculator gives the following additional results:
When the result is a matrix, and if possible, the calculator gives the following additional results:
When the result is a vector, the calculator gives the following additional results:
When the result contains units, the calculator gives the following additional results:
38in
will return 1yd+2in
in the additional results window).38in
will return 0.9662m
in the additional results window).