Scientific
How To Use A Scientific Calculator: Keys, Modes And Worked Examples
Last updated: October 2026
Written by Jessica Hill
A scientific calculator handles powers, roots, fractions, trigonometry, logarithms and scientific notation, beyond basic arithmetic. To use one well, learn three things: the SHIFT or 2nd key that opens second functions, the MODE settings like degrees and radians, and the order in which keys are pressed.
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Most people only use a fraction of what their scientific calculator can do. This guide goes key group by key group, with short examples you can try on a handheld model like a Texas Instruments TI-30XS MultiView or a Casio fx-115ES PLUS, or on a free online scientific calculator. It also covers which calculators are allowed on the SAT, ACT, AP and engineering exams. Every example result was checked by computer.
Note: Calc Solver (calc-solver.co) is an independent guide site and is not affiliated with Texas Instruments, Casio, HP or any calculator website. Key names vary by model, so check your manual if a key looks different.
What Is A Scientific Calculator?
A scientific calculator is a calculator built for math and science classes. On top of basic arithmetic, it has keys for exponents, roots, trig functions, logs, factorials, scientific notation and often fractions and statistics.
| Calculator type | What it does | Typical use |
|---|---|---|
| Basic (four-function) | +, −, ×, ÷, %, √ | Shopping, bills, everyday math |
| Scientific | Adds powers, roots, trig, logs, fractions, statistics | Middle school through college math and science |
| Graphing | Adds graphs, tables and programs | Algebra II, precalculus, calculus |
| CAS (computer algebra) | Adds symbolic algebra and calculus | Advanced college math, some exams |
A scientific calculator is the right tool for pre-algebra through precalculus, chemistry and physics, and many engineering exams.
How The Keys On A Scientific Calculator Are Organized
Scientific calculator keys come in groups. Once you know the groups, any model becomes easy to learn.
The SHIFT Or 2nd Key
Most keys have two jobs. The main job is printed on the key. The second job is printed above it, usually in a different color, and you reach it by pressing SHIFT (Casio) or 2nd (Texas Instruments) first.
For example, the key labeled sin often has sin⁻¹ printed above it. To find an angle whose sine is 0.5, press SHIFT (or 2nd), then sin, then 0.5, then = or Enter. In degree mode, the answer is 30.
Tip: you press SHIFT or 2nd and release it. You do not hold it down like a keyboard shift key.
The MODE And SETUP Keys
The MODE key (sometimes with SETUP as its second function) controls how the calculator thinks and displays answers. The most important settings are:
- Angle unit: DEG (degrees), RAD (radians) or GRAD. Use DEG for most geometry and RAD for calculus.
- Display format: normal, fixed decimals (FIX), scientific notation (SCI) or textbook-style "MathPrint" or "Natural Display."
- Calculation mode: on some Casio models, MODE also switches between general calculations, statistics, equations and more.
A small indicator at the top of the screen, like D, R or DEG, shows the current angle mode. Check it before every trig problem.
Clear, Delete And Arrow Keys
These keys fix mistakes without starting over:
| Key | What it does |
|---|---|
| AC or CLEAR | Clears the current line |
| DEL | Deletes one character at the cursor |
| ◄ ► arrows | Move the cursor left and right inside an expression |
| ▲ ▼ arrows | Scroll back through earlier calculations on multi-line models |
| ON / OFF | Power; on many models OFF is SHIFT + AC |
On multi-line models such as the four-line TI-30XS MultiView, you can scroll up to an old problem, edit one number and press Enter again. That saves a lot of retyping.
Answer And Memory Keys
The Ans key recalls the last answer, so you can chain steps. Memory keys store numbers for later.
| Key | What it does | Example use |
|---|---|---|
| Ans | Inserts the previous result | Find 12 × 8, then type Ans ÷ 3 |
| STO | Stores the displayed number in a memory variable | Save a measurement as A |
| RCL or a variable key | Recalls a stored value | Use A in a later formula |
| M+ / M− | Adds or subtracts from a running memory total | Total up several items |
How To Use A Scientific Calculator For Common Tasks
Here is how to do the most common calculations, with results you can check on your own calculator. Key names differ slightly by brand.
Powers And Roots
| Task | Keys to press | Result |
|---|---|---|
| 12 squared | 12, x², = | 144 |
| 4 to the 5th power | 4, ^ (or yˣ / xʸ), 5, = | 1,024 |
| Square root of 196 | √, 196, = | 14 |
| Cube root of 343 | SHIFT/2nd, √ or ³√, 343, = | 7 |
| 5th root of 32 | 5, SHIFT/2nd, ˣ√, 32, = | 2 |
Older or simpler models may ask you to enter the number first and then press the function key. If a result looks wrong, try the other order.
Fractions And Mixed Numbers
Many scientific calculators have a fraction key, often labeled a b/c, n/d or a stacked box. It lets you type fractions directly and keep exact answers.
- 2/3 ÷ 4/5: enter 2/3, press ÷, enter 4/5, press =. The answer is 5/6.
- Switch to a decimal: on Casio models, press S⇔D to toggle between 5/6 and 0.8333… On TI models, a toggle key switches between fraction and decimal forms.
- Mixed numbers: SHIFT or 2nd with the fraction key usually enters or converts mixed numbers, like 1 7/12.
If your calculator has no fraction key, use parentheses: (2 ÷ 3) ÷ (4 ÷ 5) gives 0.8333…, which you can convert yourself.
Scientific Notation (Standard Form)
The EXP, EE or ×10ˣ key enters numbers like 6.02 × 10²³ without typing all the zeros.
Example: (3.3 × 10⁴) × (3.2 × 10⁵)
- Press 3.3, EXP (or ×10ˣ), 4
- Press ×
- Press 3.2, EXP, 5
- Press =
The result is 1.056 × 10¹⁰, shown on many screens as 1.056E10.
Common mistake: typing 3.3 × 10 ^ 4 instead of using the EXP key. It often works, but inside a longer problem without parentheses it can break the order of operations. The EXP key keeps the number as one unit.
Trigonometry
Trig keys find sine, cosine and tangent of an angle, and the inverse keys find the angle itself.
Example 1, find a side: sin 30° in DEG mode. Press sin, 30, =. The result is 0.5.
Example 2, find an angle: a right triangle has an opposite side of 5 and an adjacent side of 12. Find the angle.
- Make sure DEG is showing.
- Press SHIFT/2nd, tan (for tan⁻¹).
- Enter 5 ÷ 12 and close the parentheses if your model opens one.
- Press =.
The result is about 22.62°.
If you get a strange answer, check the angle mode first. The same keys give very different results in RAD mode.
Logarithms And Exponentials
- log is base 10: log 1000 = 3.
- ln is natural log, base e: ln(e) = 1.
- 10ˣ and eˣ are usually SHIFT/2nd on the log and ln keys, and they undo each other.
- Log of any base: some models have a logₐb key. If yours does not, use log(b) ÷ log(a). For example, log₂ 32 = log 32 ÷ log 2 = 5.
Factorials, Permutations And Combinations
These keys are used in probability and statistics.
| Key | Meaning | Example | Result |
|---|---|---|---|
| x! | Factorial | 5! | 120 |
| nPr | Ordered arrangements | 5 nPr 2 | 20 |
| nCr | Combinations (order does not matter) | 7 nCr 3 | 35 |
To enter 7 nCr 3 on most models: press 7, SHIFT/2nd (or a PRB menu), nCr, 3, =.
Statistics Mode
Many scientific calculators can find the mean, standard deviation and more from a list of data.
- Switch to statistics mode (often MODE, then STAT, or a data key on TI models).
- Choose one-variable (1-VAR) statistics.
- Enter each data value, pressing = or Enter after each one.
- Open the results menu to see the mean (x̄), standard deviation and sum.
Clear old data before each new problem. Leftover values from a previous class are a common source of wrong answers.
Online Scientific Calculator Vs Handheld Model
Free online scientific calculators run in your browser and cost nothing. Handheld models are required for most tests and work without internet. Many students use both.
| Feature | Free online scientific calculator | Handheld scientific calculator |
|---|---|---|
| Cost | Free | Usually a low one-time cost |
| Internet needed | Yes, to load the page | No |
| Allowed on SAT, ACT and AP | No | Yes, if it is an approved model |
| Keyboard typing | Usually yes | No |
| See and edit full expression | Usually yes | On multi-line models |
| Copy and paste results | Yes | No |
| Distractions | Ads and other tabs | None |
When an online calculator makes sense: homework at a computer, checking answers, or when you forget your calculator. Many free online scientific calculators, such as Desmos's scientific calculator or the calculator in Google Search, work well. Be aware that some sites with calculator names also hide games, which makes them more likely to be blocked at school.
When a handheld is better: tests, labs, classes where devices are not allowed, and any time you want to practice with the same tool you will use on test day.
How To Choose A Scientific Calculator
The best scientific calculator is the one your class and exams allow, with a display you find easy to read. Here are the features that matter most.
- Multi-line or textbook display. Shows fractions, roots and exponents the way your book does, and lets you scroll back. The TI-30XS MultiView has a four-line MathPrint display; Casio's fx-115ES PLUS uses a "natural textbook" display.
- Fraction key. Important for middle school and pre-algebra.
- Statistics mode. Useful for algebra, statistics and science labs.
- Power source. Some models are solar plus battery, others battery only. Solar backup helps if you forget to replace batteries.
- Exam approval. Check your test's list before buying.
Popular models:
| Model | Good for | Notes |
|---|---|---|
| TI-30XS MultiView | High school math and science | Four-line MathPrint display, fractions, one- and two-variable stats; TI says it is approved for SAT, ACT and AP exams |
| Casio fx-115ES PLUS | High school, college and engineering | Natural textbook display; part of the fx-115 family allowed on NCEES engineering exams |
| Casio fx-991 models | College and engineering | Also on the NCEES approved list |
| TI-36X models | College and engineering | On the NCEES approved list |
Scientific Calculators On Tests
Most standardized tests allow a scientific calculator, but each has its own rules. Check the official policy before test day.
| Test | Scientific calculator allowed? | Key rule |
|---|---|---|
| Digital SAT | Yes, if approved | The Bluebook app also has a built-in Desmos calculator; phone and laptop calculators are banned |
| ACT | Yes | Four-function, scientific and graphing models are allowed unless prohibited; CAS models are banned, and online testers get a built-in Desmos calculator |
| AP Exams | Depends on the subject | Each AP subject has its own calculator rules |
| NCEES (FE and PE engineering exams) | Only listed models | All Casio fx-115 and fx-991 models, HP 33s and 35s, and all TI-30X and TI-36X models |
According to the ACT calculator policy, devices with computer algebra system (CAS) functionality are prohibited, and so are phones, tablets and laptops. The NCEES calculator policy is even stricter: only the listed model families are allowed for engineering licensing exams.
Test-day tips:
- Put in fresh batteries the week before.
- Reset the calculator to default settings so no odd mode surprises you.
- Check that DEG or RAD matches what the test needs.
- Practice with the same calculator for weeks before the test, so you know where every key is.
Common Scientific Calculator Mistakes
Most wrong answers come from settings and key order, not the math. Here are the mistakes students make most often and how to fix them.
| Mistake | What happens | Fix |
|---|---|---|
| Wrong angle mode | Trig answers look random | Check the D or R indicator before trig |
| Using − instead of (−) | Syntax error | Use the (−) negative key for negative numbers |
| Forgetting to close parentheses | The calculator guesses where the group ends | Close every bracket you open |
| Old statistics data left in memory | Wrong mean or standard deviation | Clear data before entering a new list |
| Answer stuck in fraction or decimal form | Answer does not match the worksheet | Use S⇔D or the fraction toggle |
| Display set to FIX or SCI | Answers rounded or shown as 1.2E3 | Set the display back to normal in MODE or SETUP |
| Typing 10^ instead of EXP | Order of operations breaks in long problems | Use EXP or ×10ˣ for scientific notation |
Two keys for minus: most scientific calculators have a subtraction key (−) and a separate negative key, often shown as (−). Using the subtraction key at the start of a number is a classic cause of "Syntax ERROR."
How To Reset A Scientific Calculator
Resetting returns every setting to factory defaults. It is the fastest fix when a calculator acts strangely.
- Casio models: many use SHIFT, then 9 (CLR), then options to clear setup, memory or all. Follow the on-screen prompts.
- Texas Instruments models: many TI-30 models reset by pressing ON and CLEAR together, then releasing. Others use a reset menu.
- Any model: check the manual or the manufacturer's website for your exact key sequence.
After a reset, you may need to choose DEG or RAD again and set the display format you prefer.
Summary
A scientific calculator handles powers, roots, fractions, trig, logs, scientific notation and statistics. Key takeaways:
- SHIFT or 2nd reaches the second function printed above each key.
- MODE or SETUP controls angle units and display; check DEG or RAD before trig.
- Use the right keys: EXP for scientific notation, (−) for negative numbers, and the fraction key for exact answers.
- Ans and memory keys let you chain steps without retyping.
- Online calculators are great for homework, but tests need an approved handheld or the built-in test calculator.
- Exam rules differ: ACT bans CAS models, and NCEES allows only specific families like Casio fx-115 and TI-30X.
Next step: Grab your calculator and work through the examples in "How to Use a Scientific Calculator for Common Tasks," then visit the Calc Solver home page for more calculator guides.
Frequently Asked Questions
What is the difference between a scientific and a graphing calculator?
A scientific calculator works with numbers and shows results on a small screen, covering powers, roots, trig, logs and statistics. A graphing calculator adds a larger screen for plotting functions, viewing tables and running programs. Graphing models cost more and are usually needed from Algebra II or precalculus on, while scientific models cover most earlier classes.
Why does my scientific calculator say Syntax ERROR?
A syntax error means the calculator could not read what you typed. Common causes are using the subtraction key instead of the negative (−) key, leaving out a closing parenthesis, or pressing two operations in a row. Use the arrow keys to move back, fix the problem and press equals again, rather than clearing everything.
Can I use an online scientific calculator on the SAT or ACT?
No. Both tests ban phones, tablets and laptops as calculators. The digital SAT provides a built-in Desmos calculator in the Bluebook app, and students taking the ACT online also get a built-in Desmos calculator. You can also bring an approved handheld calculator, such as a non-CAS scientific model like the TI-30XS MultiView.
How do I type a negative number on a scientific calculator?
Use the negative key, usually labeled (−) or +/−, not the subtraction key. For example, to calculate −7 × 3, press (−), 7, ×, 3, =. To square a negative number, wrap it in parentheses: ((−) 4)² gives 16, while (−) 4² gives −16 because the calculator squares first.
Which scientific calculator is best for high school?
For most US high school students, a multi-line model like the TI-30XS MultiView or the Casio fx-115ES PLUS works well. Both show math in textbook style, handle fractions and statistics, and are accepted on major tests. Check your teacher's supply list first, since some classes teach with one specific model.
Do scientific calculators need batteries?
It depends on the model. Some, like the TI-30XS MultiView, use both solar power and a battery, so they keep working in low light. Others run on batteries only. Either way, replace the battery before an important exam, since a weak battery can cause a dim screen or random shutoffs.
Try it with your own numbers
The calculator at the top of this page uses the same formulas as the examples.