Math Equation Solver
Solve math equations that add, subtract, multiply and divide positive and negative numbers. You can also include parentheses and exponents in equations here. Use these math symbols:
For decimal numbers (floating point numbers) you must have digits before and after the decimal point. .5 or 5. will not work but 0.5 or 5.0 or 5 will be accepted.
Math Order of Operations - PEMDAS (or BEDMAS)
PEMDAS is an acronym that may help you remember order of operations for solving math equations. PEMDAS is typcially expanded into the phrase, "Please Excuse My Dear Aunt Sally." The first letter of each word in the phrase creates the PEMDAS acronym. Standard mathematical order of operations is:
- Parentheses - solve expressions in parentheses first
- Exponents - calculate exponential expressions
- Multiplication and Division
- Addition and Subtraction
PEMDAS means "Parentheses Exponents Multiplication Division Addition Subtraction"
It is also referred to as
BEDMAS means "Brackets Exponents Division Multiplication Addition Subtraction"
Note that multiplication and division are at the same level. It does not matter in which order you do multiplication and division at this point during problem-solving. The same is true for addition and subtraction, and these are the last operations to complete when solving a math equation.
For nested parentheses or brackets, solve the innermost parentheses or bracket equations first and work toward the outermost parentheses. For each expression within parentheses, follow the rest of the PEMDAS order: First calculate exponents, then multiplication and division, and finally addition and subtraction.
Adding, Subtracting, Multiplying and Dividing Positive and Negative Numbers
This calculator follows standard rules to solve equations.
Rules for Addition Operations (+)
If signs are the same then keep the sign and add the numbers.
If signs are different then subtract the smaller number from the larger number and keep the sign of the larger number.
Rules for Subtraction Operations (-)
Keep the sign of the first number. Change all the following subtraction signs to addition signs. Change the sign of each number that follows so that positive becomes negative, and negative becomes positive then follow the rules for addition problems.
Rules for Multiplication Operations (* or ×)
Multiplying a negative by a negative or a positive by a positive produces a positive result. Multiplying a positive by a negative or a negative by a positive produces a negative result.
Rules for Division Operations (/ or ÷)
Similar to multiplication, dividing a negative by a negative or a positive by a positive produces a positive result. Dividing a positive by a negative or a negative by a positive produces a negative result.
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