# Enter Math Expressions to Show Your Work

You can enter mathematical expressions in your work.

## To enter a mathematical expression:

1. In the Show My Work toolbar, click Insert Math.
The toolbar changes to display buttons for entering math expressions.
2. Use the keyboard and buttons to enter your math expression.
To do thisDo this
Enter variables.Type the variable name. Variables are automatically italicized.
Enter lowercase or uppercase Greek letters.Type a backslash (\) followed by the lowercase or capitalized name of the letter, for example, \delta to insert δ or \Delta to insert Δ.
Display or hide additional buttons.Click Functions, Symbols, Operators, Calculus, Vectors, or Greek.
Move the insertion point.Press the home, END, and arrow keys.
Move to the next part of the expression.Press TAB.
Move to the previous part of the expression.Press SHIFT+TAB.
Copy the entire expression.Press CTRL+C.
Note: You cannot select or copy only part of the expression.
Cut the entire expression.Press CTRL+X.
Note: This removes the entire expression. To undo, press CTRL+V to paste the expression.
Paste the entire expression.Press CTRL+V.
Important: This replaces the entire expression with an expression that you previously cut or copied. There is no undo.
Delete the character to the left of the insertion point, the selected expression, or notation such as fractions.Press BACKSPACE.
Delete the character to the right of the insertion point, the selected expression, or notation such as fractions.Press DELETE.
Delete the current part of the expression and its parent — for example, deletes an entire fraction.Press CTRL+DELETE.
Note:
• You cannot select a portion of your math expression to cut, copy, or paste.
• You cannot undo changes in your math expression.

## Examples: Entering Math Notation

The following examples illustrate entry of some common expressions.

ExpressionDo thisTo display this
A simple expression with integersType 2x+52500

$2x+52500$

A polynomial with a fractional coefficient
1. Click
2. Type 1 and press TAB
3. Type 2 and press TAB
4. Type x^2 and press TAB
5. Type +4x+2

$\frac{1}{2}{x}^{2}+4x+2$

A simple inequality
1. Type x
2. Click Symbols >
3. Type -4

$x\ge -4$

A square rootType sqrt(x

$\sqrt{x}$

A cube root
1. Click
2. Type 3TABx

$\sqrt[3]{x}$

An expression involving pi and Euler's numberType \pi+e^2

$\pi +{\mathbit{e}}^{2}$

The natural logarithm of an absolute value
1. Click Functions > ln
2. Type |x|

$\mathrm{ln}\left(\left|x\right|\right)$

A complex numberType 2+3i

$2+3\mathbit{i}$

A vector in vector bracket form
1. Click
2. Type 12,15,22

$⟨12,15,22⟩$