absolute value on calculator ti 84

Quick Answer: Where is absolute value on a TI-84?

The absolute value function is abs( on the TI-84. To insert it: press MATH, move to NUM, then choose 1:abs(. You can use it in the home screen, in Y= graph equations, in the table, and inside more complicated expressions.

What absolute value means

Absolute value is the distance from zero on the number line. Because distance is never negative:

• |7| = 7
• |-7| = 7
• |0| = 0

On a TI-84 calculator, the same idea applies: abs(-7) returns 7.

Step-by-step: absolute value of one number

Example: Find |−23.6|

1. Turn on your TI-84 and go to the home screen.
2. Press MATH.
3. Use the right arrow to select NUM.
4. Select 1:abs(.
5. Type -23.6 and then ).
6. Press ENTER.

Result: 23.6

Step-by-step: absolute value of an expression

Example: Find |5−12|

On the home screen, enter: abs(5-12) and press ENTER.

The calculator evaluates the inside first: 5 - 12 = -7, then takes absolute value: |-7| = 7.

How to graph absolute value on TI-84

Graph y = |x|

1. Press Y=.
2. In Y1, insert abs( from MATH > NUM > 1.
3. Type X and close parenthesis: abs(X).
4. Press GRAPH.

You should see the classic V-shape graph with vertex at the origin.

Graph transformed absolute value

For vertex form transformations, try:

• Y1 = abs(X-3)+2 (right 3, up 2)
• Y1 = 2*abs(X+1)-4 (left 1, vertical stretch, down 4)
• Y1 = -abs(X)+5 (reflection over x-axis, up 5)

Using absolute value for distance problems

A common use is distance between two numbers: distance = |a - b|. For example, distance between -4 and 9 is: |-4 - 9| = |-13| = 13.

On TI-84, enter abs(-4-9) and press ENTER.

Common TI-84 mistakes (and fixes)

1) Forgetting the closing parenthesis

If you start abs(, always close with ).

2) Using plain vertical bars on the keypad

The TI-84 does not use typed vertical bars like a computer keyboard. Use the built-in abs( function from the MATH menu.

3) Wrong order of operations

If you mean the absolute value of an entire expression, include all parts inside parentheses. Use abs(3-10*2), not abs(3)-10*2.

4) Graph looks odd

Check window settings. Press ZOOM then 6:ZStandard for a clean default view.

TI-84 CE vs TI-84 Plus: any difference?

Functionally, no major difference for absolute value. The menu path is the same: MATH > NUM > abs(. The CE has a color display and updated interface, but the command entry process is nearly identical.

Practice problems

• |-45|
• |6-15|
• |(3^2)-20|
• |-2.75 + 8.1|
• |-12 - (-7)|

Work each one on your TI-84 using abs(, then verify with the helper calculator above.

Final takeaway

If you remember one thing, remember this sequence: MATH → NUM → 1:abs(. Once you know where abs( lives, absolute value calculations on the TI-84 become quick and reliable for algebra, graphing, and exam work.