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How to Put Absolute Value on Ti-83 Calculator

Reviewed by Calculator Editorial Team

Calculating absolute value on the TI-83 calculator is straightforward once you know the correct syntax. Absolute value represents the non-negative value of a number, regardless of its sign. This guide will show you how to input absolute value expressions on your TI-83 calculator.

Introduction

The TI-83 calculator is a powerful tool for mathematical calculations. One common operation is finding the absolute value of a number. The absolute value of a number is its distance from zero on the number line, always non-negative.

For example, the absolute value of 5 is 5, and the absolute value of -3 is 3. The TI-83 uses the "abs" function to calculate absolute values. This guide will walk you through the process of using the abs function on your TI-83 calculator.

Step-by-Step Instructions

Follow these steps to calculate absolute values on your TI-83 calculator:

  1. Turn on your TI-83 calculator and press the "MODE" key to ensure it's in the correct mode.
  2. Press the "2ND" key and then the "ALPHA" key to enter the alpha mode. This allows you to enter the "abs" function.
  3. Type "abs" (without quotes) to enter the absolute value function.
  4. Press the "(" key to start the function.
  5. Enter the number or expression for which you want to find the absolute value. For example, if you want to find the absolute value of -5, type "-5".
  6. Press the ")" key to close the function.
  7. Press the "ENTER" key to calculate the result.

Tip: You can also use the absolute value function with variables. For example, if you have a variable X, you can type "abs(X)" to find its absolute value.

Worked Examples

Let's look at a few examples to see how the absolute value function works on the TI-83 calculator.

Example 1: Simple Number

Find the absolute value of -7.

  1. Press "2ND" then "ALPHA" to enter alpha mode.
  2. Type "abs" and press "(".
  3. Type "-7" and press ")".
  4. Press "ENTER".

The calculator will display "7" as the result.

Example 2: Variable

Find the absolute value of a variable X where X = -4.

  1. First, set the value of X by pressing "2ND" then "ALPHA" to enter alpha mode.
  2. Type "X" and press "=".
  3. Type "-4" and press "ENTER".
  4. Now, press "2ND" then "ALPHA" to enter alpha mode again.
  5. Type "abs" and press "(".
  6. Type "X" and press ")".
  7. Press "ENTER".

The calculator will display "4" as the result.

Example 3: Expression

Find the absolute value of (3 - 5).

  1. Press "2ND" then "ALPHA" to enter alpha mode.
  2. Type "abs" and press "(".
  3. Type "3" and press "-" then "5".
  4. Press ")".
  5. Press "ENTER".

The calculator will display "2" as the result.

Formula Used

The absolute value of a number x is defined as:

abs(x) = x if x ≥ 0

abs(x) = -x if x < 0

On the TI-83 calculator, the "abs" function implements this definition. It takes a number or expression as input and returns its absolute value.

FAQ

What is the absolute value of a negative number?
The absolute value of a negative number is its positive counterpart. For example, the absolute value of -8 is 8.
Can I use the absolute value function with variables?
Yes, you can use the absolute value function with variables. First, assign a value to the variable, then use the "abs" function with the variable name.
What happens if I enter a non-numeric value in the absolute value function?
The TI-83 calculator will display an error message if you try to find the absolute value of a non-numeric value.
Is there a shortcut to enter the absolute value function?
No, you need to enter "abs" in alpha mode to use the absolute value function. There is no shortcut key for this function.