Add, subtract, multiply, divide, use percentages, decimals, negative numbers, and parentheses. See your expression, answer, and the math rules behind it.
Type or tap an expression, then press = for your answer and the steps behind it.
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Basic math is the foundation used to work with numbers and quantities. The four operations people learn first are addition, subtraction, multiplication, and division. Almost every more advanced math topic builds on these ideas.
Addition combines quantities. Subtraction finds a difference or removes part of a quantity. Multiplication combines equal groups efficiently. Division separates a quantity into equal groups or tells how many times one number fits into another.
A basic calculator helps perform these operations quickly, but understanding what the symbols mean is still important because it helps you recognize mistakes and choose the correct operation. This basic math calculator with steps is built to work as a simple calculator online and as a short math lesson at the same time, which matters whether you are solving basic math problems for school or just double-checking simple math problems from everyday life.
The four basic arithmetic operations are addition, subtraction, multiplication, and division. Each operation answers a different kind of question.
Suppose you have 8 apples and receive 5 more. You use addition: 8 + 5 = 13.
Suppose you have 13 apples and give away 5. You use subtraction: 13 - 5 = 8.
Suppose you have 4 bags with 6 apples in each bag. You use multiplication: 4 × 6 = 24.
Suppose you have 24 apples and divide them equally among 6 people. You use division: 24 ÷ 6 = 4.
Choosing the operation is often more important than pressing the buttons. A four operations calculator can compute any of these instantly, but recognizing which operation a real situation calls for is the actual math skill.
Addition combines quantities. The numbers being added are sometimes called addends. The answer is called the sum.
Example: 27 + 15. Break 15 into 10 + 5. Then 27 + 10 = 37. 37 + 5 = 42. Therefore 27 + 15 = 42.
Addition can also be visualized on a number line. Start at 3. Add 4. Move four spaces to the right: 4, 5, 6, 7. You land on 7. So 3 + 4 = 7.
Subtraction finds the difference between quantities or removes one quantity from another.
Example: 52 - 17. Subtract 10 first: 52 - 10 = 42. Then subtract 7: 42 - 7 = 35. Therefore 52 - 17 = 35.
Subtraction is the inverse of addition. If 52 - 17 = 35, then you can check your answer using 35 + 17 = 52.
Multiplication is repeated equal grouping.
Example: 3 × 4. This can mean 3 groups with 4 objects in each group. Add 4 + 4 + 4 = 12. Therefore 3 × 4 = 12.
Multiplication is much faster than repeated addition when the groups become large. Instead of writing 7 + 7 + 7 + 7 + 7 + 7, you can write 6 × 7 = 42.
Repeated multiplication eventually leads to exponents. For example, 4 × 4 × 4 can be written 4³. For powers and exponent rules, use the Exponent Calculator.
Division separates a quantity into equal groups or determines how many groups can be formed.
Example: 12 ÷ 3. If 12 objects are divided into 3 equal groups, each group contains 4. Therefore 12 ÷ 3 = 4.
Division is the inverse of multiplication. If 12 ÷ 3 = 4, then 4 × 3 = 12.
If you need to see a large division problem written out digit by digit, use the Long Division Calculator.
If you want a visual refresher on the foundations before moving into harder math, Brian McLogan also provides a lesson called Before you learn math, know the basics. Use it only as a supplementary learning resource; this page does not copy the video's transcript, examples, or graphics.
When an expression contains more than one operation, the order matters.
Consider 6 + 4 × 3. If you simply calculate from left to right: 6 + 4 = 10 and 10 × 3 = 30. But standard arithmetic rules say multiplication is completed before addition. First 4 × 3 = 12. Then 6 + 12 = 18. The correct answer is 18.
A simple order to remember is: Parentheses, then Multiplication and Division from left to right, then Addition and Subtraction from left to right. Many students remember this with the acronym PEMDAS, and an order of operations calculator like this one applies those same rules automatically to every expression you enter.
Parentheses tell you which part of an expression should be handled first.
Compare 6 + 4 × 3 and (6 + 4) × 3. Without parentheses: 6 + 4 × 3 = 6 + 12 = 18. With parentheses: (6 + 4) × 3 = 10 × 3 = 30.
The same numbers can produce different answers because the expression is organized differently. A calculator with parentheses, like this one, lets you nest groups as deeply as the problem requires and always resolves the innermost parentheses first.
Numbers below zero are negative numbers. Examples: -1, -5, -20.
Suppose the temperature is 3 degrees and drops 8 degrees. Calculate 3 - 8 = -5.
Negative numbers also appear in money owed, temperature, elevation, changes in value, and coordinate systems.
When multiplying or dividing signed numbers: positive × positive = positive. negative × negative = positive. positive × negative = negative. negative × positive = negative.
Example: -4 × -3 = 12. And: -4 × 3 = -12. A calculator for negative numbers needs to track these sign rules consistently, which is exactly what this calculator's parser does every time it multiplies or divides two signed values.
Decimals represent parts of a whole using place value. Example: 2.5 means 2 whole units and 5 tenths.
Decimal arithmetic follows the same basic operations. Example: 2.5 + 1.75 = 4.25.
For addition and subtraction by hand, line up the decimal points. Example:
2.50 + 1.75 ------ 4.25
A calculator for decimals also has to guard against ordinary floating-point rounding noise, so that an entry like 0.1 + 0.2 displays as 0.3 instead of a long string of extra digits.
Percent means per hundred. Therefore 25% means 25 out of 100. 25% = 25/100 = 0.25.
To find 25% of 200, convert 25% to 0.25. Then 200 × 0.25 = 50.
For broader percentage calculations, use the Percentage Calculator. If you need to calculate increases or decreases between two values, use the Percentage Change Calculator.
A fraction is also a division expression. For example, 3/4 means 3 ÷ 4. 3 ÷ 4 = 0.75. Therefore 3/4 = 0.75.
Fractions can be converted between fraction form, decimal form, and percentage form. Example: 3/4 = 0.75 = 75%.
For more detailed fraction calculations, use the Fraction Calculator.
Any number multiplied by 0 equals 0. Examples: 12 × 0 = 0. 500 × 0 = 0. -8 × 0 = 0.
Adding 0 does not change a number. Example: 12 + 0 = 12. This is why 0 is called the additive identity.
Multiplying by 1 does not change the number. Example: 15 × 1 = 15. This makes 1 the multiplicative identity.
Division asks how many groups of one size fit into another quantity. A division such as 10 ÷ 0 does not produce an ordinary real-number answer.
This Basic Math Calculator should therefore show "Cannot divide by zero." It should never display Infinity as though that were a normal arithmetic result.
Inverse operations help you check your work. Addition and subtraction undo each other. Multiplication and division undo each other.
Example: 38 + 17 = 55. Check: 55 - 17 = 38.
Example: 8 × 6 = 48. Check: 48 ÷ 6 = 8.
Estimation helps you catch entry mistakes.
Suppose you enter 198 + 304. Before calculating exactly, round mentally: 198 to 200. 304 to 300. Then 200 + 300 ≈ 500. The exact answer, 502, is close to 500, so it makes sense.
If your calculator unexpectedly showed 5,020, you would immediately know something went wrong.
If you need help rounding a number to a specific place value, use the Rounding Calculator.
A simple math problem usually uses one or more basic arithmetic operations.
Example: You have $50. You spend $18. How much remains? Use subtraction: 50 - 18 = 32. Answer: $32.
Another example: Four friends each buy 3 tickets. How many tickets are purchased? Use multiplication: 4 × 3 = 12.
Another example: 24 cookies are divided among 6 children. How many cookies does each child receive? Use division: 24 ÷ 6 = 4.
The hardest part of many basic word problems, and many simple math problems in general, is identifying the operation rather than doing the arithmetic itself.
Ask what the question is doing with the quantities.
Addition. Look for combining or finding a total.
Subtraction. Look for removing, comparing, or finding a difference.
Multiplication. Look for equal groups or repeated quantities.
Division. Look for splitting equally or determining how many equal groups fit.
Do not depend only on keywords because the same word can appear in different types of problems. Understand what is happening to the quantities.
In statistics, the arithmetic mean is another word for the standard average.
Example: 4, 6, 8. Add: 4+6+8 = 18. There are 3 values. Mean: 18÷3 = 6.
This Basic Math Calculator can perform the arithmetic, but if you have an entire list of values and want the arithmetic, weighted, geometric, or harmonic mean, use the Average Calculator.
No, but algebra is built on basic arithmetic. Arithmetic uses known numbers. Example: 8 + 4 = 12.
Algebra often introduces unknown values. Example: x + 4 = 12. You can use subtraction to solve: x = 8.
This shows why mastering arithmetic operations helps with later algebra.
A Basic Math Calculator is best for addition, subtraction, multiplication, division, decimals, percentages, negative numbers, and parentheses.
A Scientific Calculator adds functions such as trigonometry, logarithms, powers, roots, constants, and inverse functions. If you need those advanced features, use the Scientific Calculator.
A Basic Math Calculator can interpret 3 ÷ 4 and return 0.75. But it does not need to become a full fraction-solving tool.
For simplifying fractions, mixed numbers, improper fractions, fraction addition, fraction subtraction, fraction multiplication, fraction division, and fraction conversion, use the Fraction Calculator.
The Basic Math Calculator can handle simple expressions such as 200 × 25% = 50. But percentage questions often require more context.
Examples: What is 25% of 200? 75 is what percent of 300? What was the original number before a 20% increase? What is the percentage difference?
For those questions, use the Percentage Calculator or the Percentage Change Calculator where appropriate.
Basic arithmetic appears in everyday situations including shopping, budgets, time, distance, recipes, measurements, schoolwork, construction, fitness, business, statistics, and science.
Even when a calculator is available, understanding the operation matters because the calculator cannot decide what a real-world problem means unless the user gives it the correct expression.
2 + 3 × 4 is 14, not 20.
(2 + 3) × 4 is different from 2 + 3 × 4.
Division by zero is undefined in ordinary arithmetic.
Be careful when adding or subtracting decimal values by hand.
25% is 0.25, not 25.
10 - 3 is 7. 3 - 10 is -7.
-4 × 3 is -12.
Keep precision during intermediate calculations, then round the final answer if necessary.
A calculator only evaluates what you enter. If you type the wrong number or operator, it will calculate the wrong expression correctly.
Do not leave knowing only "My calculator says 36." Leave knowing:
And most importantly: I can understand the math I entered instead of only seeing an answer. That is what the CalculateThisWay Basic Math Calculator should help someone do.
| Operation | Symbol | Example | Answer |
|---|---|---|---|
| Addition | + | 8 + 5 | 13 |
| Subtraction | − | 13 − 5 | 8 |
| Multiplication | × | 6 × 4 | 24 |
| Division | ÷ | 24 ÷ 6 | 4 |
| Percent | % | 25% | 0.25 |
| Parentheses | ( ) | (2 + 3) × 4 | 20 |
| Negative | − | -5 + 8 | 3 |
I need ordinary addition, subtraction, multiplication, division, decimals, percentages, negative numbers, or parentheses.
You are hereI need logs, trig, powers, roots, constants, or advanced functions.
Open Calculator ›What is basic math?
Basic math is the foundation of working with numbers, built from the four operations: addition, subtraction, multiplication, and division.
What are the four basic math operations?
The four basic math operations are addition (+), subtraction (−), multiplication (×), and division (÷).
What is arithmetic?
Arithmetic is the branch of mathematics that deals with basic operations on numbers, primarily addition, subtraction, multiplication, and division.
What is a basic math calculator?
A basic math calculator performs ordinary arithmetic such as addition, subtraction, multiplication, and division, along with decimals, percentages, negative numbers, and parentheses.
What is a simple math calculator?
A simple math calculator is another name for a basic calculator that handles everyday arithmetic without advanced scientific functions like trigonometry or logarithms.
How do I add numbers?
Enter the first number, press the + button, enter the second number, then press = to see the sum.
How do I subtract numbers?
Enter the first number, press the − button, enter the second number, then press = to see the difference.
How do I multiply numbers?
Enter the first number, press the × button, enter the second number, then press = to see the product.
How do I divide numbers?
Enter the first number, press the ÷ button, enter the second number, then press = to see the quotient.
What is the order of operations?
The order of operations is the standard sequence used to evaluate an expression: parentheses first, then multiplication and division left to right, then addition and subtraction left to right.
What does PEMDAS mean?
PEMDAS is a memory aid for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction, the standard order for evaluating expressions. This calculator covers parentheses, multiplication, division, addition, and subtraction.
Do you multiply before adding?
Yes. Multiplication (and division) is completed before addition and subtraction unless parentheses say otherwise.
Do you divide before subtracting?
Yes. Division (and multiplication) is completed before subtraction and addition unless parentheses change the order.
How do parentheses change a math problem?
Parentheses force the expression inside them to be calculated first, which can change the final answer compared to leaving them out.
Can this calculator use parentheses?
Yes. You can enter nested parentheses and the calculator evaluates them before ordinary operations outside them.
Can this calculator calculate percentages?
Yes. Pressing % divides the current number by 100, so you can enter expressions like 200 × 25%.
What does percent mean?
Percent means per hundred. For example, 25% means 25 out of 100, or 0.25.
How do you turn a percent into a decimal?
Divide the percent value by 100. For example, 25% divided by 100 equals 0.25.
Can this calculator use negative numbers?
Yes. Use the minus key to type a negative number, or use the plus/minus button to flip the sign of the current number.
What happens when two negative numbers are multiplied?
Two negative numbers multiplied together produce a positive result. For example, -4 × -3 = 12.
Can this calculator calculate decimals?
Yes. You can enter decimal numbers such as 2.5 or 1.75, and the calculator displays results like 0.3 instead of floating-point noise.
What is 0.1 plus 0.2?
0.1 + 0.2 equals 0.3. This calculator corrects ordinary floating-point rounding so you see 0.3 instead of a long decimal artifact.
Why can't you divide by zero?
Dividing by zero asks how many groups of size zero fit into a number, which has no ordinary answer, so this calculator shows "Cannot divide by zero" instead of Infinity.
What happens when you multiply by zero?
Any number multiplied by zero equals zero.
What happens when you multiply by one?
Multiplying any number by one leaves the number unchanged, since one is the multiplicative identity.
Is a fraction the same as division?
Yes. A fraction such as 3/4 represents the division 3 ÷ 4, which equals 0.75.
How can I check my math answer?
Use the inverse operation. Check addition with subtraction, and check multiplication with division.
What are inverse operations?
Inverse operations undo each other. Addition and subtraction are inverses, and multiplication and division are inverses.
How can estimation help check an answer?
Rounding the numbers first and calculating a rough answer lets you catch a typo or an unreasonable result before trusting the exact calculation.
What does mean mean in math?
In statistics, the mean, or arithmetic mean, is the standard average: add the values and divide by how many there are.
What is the difference between a basic calculator and a scientific calculator?
A basic calculator handles the four operations, decimals, percentages, negatives, and parentheses, while a scientific calculator adds trigonometry, logarithms, powers, roots, and constants.
When should I use the Fraction Calculator?
Use the Fraction Calculator when you need to simplify, add, subtract, multiply, or divide fractions directly rather than convert them to decimals.
When should I use the Percentage Calculator?
Use the Percentage Calculator for questions like "what is X% of Y" or "what percent is X of Y," which need more context than a simple percent key.
When should I use the Long Division Calculator?
Use the Long Division Calculator when you need to see a division problem worked out digit by digit, including the remainder.
Can I use my keyboard with this calculator?
Yes. You can type numbers, the symbols + - * / and parentheses and percent, then press Enter to calculate, Backspace to delete, and Escape to clear.
Does the calculator follow order of operations?
Yes. It evaluates parentheses first, then multiplication and division from left to right, then addition and subtraction from left to right.