The TI-84 calculator is a powerful tool for students and professionals in mathematics, physics, and engineering. One of its essential functions is handling scientific notation, a format used to express very large or very small numbers conveniently.
In this guide, you’ll learn:
- How to enter numbers in scientific notation on a TI-84
- How to convert between scientific and standard notation
- The different calculator settings for scientific notation
- How to troubleshoot common errors
By the end, you’ll be able to confidently perform scientific notation calculations on your TI-84 graphing calculator with ease.
What is Scientific Notation?
Definition
Scientific notation is a way of writing numbers using powers of ten. It follows this format:
A × 10^B
where:
A
is a number between 1 and 10B
is an exponent (positive or negative)
Real-Life Applications
- Astronomy: Distance between planets (e.g., Earth’s distance from the sun is 1.496 × 10^8 km)
- Biology: Cell sizes (e.g., a virus is 1.2 × 10^-9 m)
- Engineering: Electrical calculations (e.g., 2.5 × 10^6 watts)
Standard Form vs. Decimal Notation
Notation Type | Example |
---|---|
Scientific Notation | 3.2 × 10^5 |
Standard Form | 320,000 |
Decimal Notation | 0.000056 = 5.6 × 10^-5 |
How to Enter Scientific Notation on a TI-84 Calculator
Method 1: Using the “EE” Button (Exponential Button)
The EE (exponent) button allows you to enter scientific notation quickly.
Steps to Enter a Number in Scientific Notation
- Turn on your TI-84 calculator.
- Enter the base number (e.g.,
3.5
). - Press the [2nd] button.
- Press the [EE] button (located above the comma [,] key).
- Enter the exponent (e.g.,
6
for3.5 × 10^6
). - Press [ENTER] to confirm.
Example: Enter 4.2 × 10^-3
4.2 [2nd] [EE] -3 [ENTER]
Method 2: Using Calculator Mode Settings
You can adjust how the TI-84 displays scientific notation by changing its mode settings.
Steps to Change Scientific Notation Mode
- Press [MODE].
- Scroll down to “SCI” (Scientific Notation Mode).
- Select SCI using the arrow keys.
- Press [ENTER] to save changes.
- Your answers will now be displayed in scientific notation by default.
Mode | Output Format |
NORMAL | 320000 |
SCI | 3.2 × 10^5 |
ENG | 320.0 × 10^3 |
Converting Scientific Notation to Standard Notation
You can convert numbers between scientific notation and decimal form using the MATH
function.
Steps to Convert Scientific Notation to Decimal Notation
- Enter the number in scientific notation (e.g.,
4.5 × 10^7
). - Press [MATH].
- Scroll down to
1:FRAC
(Convert to fraction/decimal). - Press [ENTER].
- The calculator will display the number in standard form.
Example: Convert 2.3 × 10^-4
into decimal form.
2.3 [2nd] [EE] -4 [ENTER]
Output: 0.00023
Adjusting Display Settings for Scientific Notation
Your TI-84 can display numbers in different formats, including:
- NORMAL: Default decimal format
- SCI (Scientific): Uses exponent notation
- ENG (Engineering): Uses multiples of 10^3
To change settings:
- Press [MODE].
- Scroll to “DISPLAY DIGITS”.
- Choose:
- FLOAT (Auto-adjust decimal places)
- 2-9 (Fixed decimal places)
- SCI or ENG (For scientific notation)
- Press [ENTER] to save.
Solving Equations with Scientific Notation on TI-84
You can use scientific notation in equations like multiplication, division, and exponentiation.
Example 1: Multiplying Scientific Notation Numbers
Multiply (2.1 × 10^5) × (3 × 10^3)
.
2.1 [2nd] [EE] 5 × 3 [2nd] [EE] 3 [ENTER]
Output: 6.3 × 10^8
Example 2: Dividing Scientific Notation Numbers
Divide (5.6 × 10^-2) ÷ (2 × 10^3)
.
5.6 [2nd] [EE] -2 ÷ 2 [2nd] [EE] 3 [ENTER]
Output: 2.8 × 10^-5
TI-84 vs. Other Graphing Calculators for Scientific Notation
TI-84 vs. Casio FX-991EX
Feature | TI-84 | Casio FX-991EX |
Scientific Notation Mode | Yes | Yes |
EE Button for Exponents | Yes | Yes |
Graphing Capability | Yes | No |
Best For | Advanced Math & Science | Basic Calculations |
Conclusion: The TI-84 is superior for graphing and complex calculations, while the Casio is better for quick arithmetic.
Troubleshooting Common Issues
Why isn’t my TI-84 displaying scientific notation?
- Solution: Enable “SCI” mode in the
MODE
menu.
My exponent isn’t showing correctly!
- Solution: Use the EE button instead of typing
10^
manually.
Can I store and recall scientific notation values?
- Yes! Use the STO (store) and RCL (recall) buttons to save and reuse values.
Conclusion & Final Tips
- The TI-84 calculator makes it easy to enter, convert, and solve scientific notation problems.
- Use the EE button to quickly input exponents.
- Adjust display settings for precise calculations.
- Practice solving equations to master scientific notation.