®

Online Calculator Resource

Math Equation Solver

Math Equation Solver
= ?
Answer:

1099.5565
Showing Work for Parentheses

= 2*3.14159*5*(2^2*5+15)

= 2*3.14159*5*35

= 1099.5565


Share this Calculator & Page

Calculator Use

Solve math problems using order of operations like PEMDAS, BEDMAS and BODMAS. This calculator solves math equations that add, subtract, multiply and divide positive and negative numbers and exponential numbers. You can include parentheses and exponents in equations that you input in the calculator. Use these math symbols:

+ Addition
-  Subtraction
*  Multiplication
/  Division
^ Exponents
() Parentheses

Math Order of Operations - PEMDAS, BEDMAS, BODMAS

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. Solve math problems with the standard mathematical order of operations:

  1. Parentheses - solve expressions in parentheses first
  2. Exponents - calculate exponential expressions second
  3. Multiplication and Division - solve these expressions next
  4. Addition and Subtraction - do these calculations last

PEMDAS means you should solve equations in this order, first to last: "Parentheses Exponents Multiplication Division Addition Subtraction"

You may also see BEDMAS and BODMAS as order of operations acronyms. In these acronyms, "brackets" are the same as parentheses, and "order" is the same as exponents.

BEDMAS means "Brackets Exponents Division Multiplication Addition Subtraction"

BEDMAS is similar to BODMAS.

BODMAS means "Brackets Order Division Multiplication Addition Subtraction"

Note that you can solve multiplication and division during the same step in the math problem. It does not matter in which order you do multiplication and division during problem-solving, as long as it's after parentheses and exponents, and before adding and subtracting. The same is true for addition and subtraction - they are solved last after parentheses, exponents and multiplying/dividing. Adding and subtracting are the last operations you should 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.

(-) + (-) = (-)
(+) + (+) = (+)
-21 + -9 = - 30
(+7) + (+13) = (+20)

If signs are different then subtract the smaller number from the larger number and keep the sign of the larger number.

(-Large) + (+Small) = (-)
(-Small) + (+Large) = (+)
(-13) + (+5) = (-8)
(-7) + (+9) = (+2)

 

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.

(-) - (-) =
(-) - (+) =
(+) - (-) =
(-15) - (-7) =
(-5) - (+6) =
(+4) - (-3) =
(-15) + (+7) = (-8)
(-5) + (-6) = (-11)
(+4) + (+3) = (+7)

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.

(-) * (-) = (+)
(+) * (+) = (+)
(+) * (-) = (-)
(-) * (+) = (-)
-10 * -2 = 20
10 * 2 = 20
10 * -2 = -20
-10 * 2 = -20
(-) × (-) = (+)
(+) × (+) = (+)
(+) × (-) = (-)
(-) × (+) = (-)
-10 × -2 = 20
10 × 2 = 20
10 × -2 = -20
-10 × 2 = -20

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.

(-) / (-) = (+)
(+) / (+) = (+)
(+) / (-) = (-)
(-) / (+) = (-)
-10 / -2 = 5
10 / 2 = 5
10 / -2 = -5
-10 / 2 = -5
(-) ÷ (-) = (+)
(+) ÷ (+) = (+)
(+) ÷ (-) = (-)
(-) ÷ (+) = (-)
-10 ÷ -2 = 5
10 ÷ 2 = 5
10 ÷ -2 = -5
-10 ÷ 2 = -5


 

Cite this content, page or calculator as:

Furey, Edward "Math Equation Solver"; from https://www.calculatorsoup.com - Online Calculator Resource.

Follow CalculatorSoup: