Using PEMDAS, simplify:
2*(8 + 7)
Define PEMDAS:
P = Parentheses ()
E = Exponents (^)
M = Multiplication (*)
D = Division (÷)
A = Addition (+)
S = Subtraction (-)
Step 1
Simplify using Parentheses
PEMDAS → Parentheses
There are 1 Parentheses in 2*(8 + 7)
Evaluate the expression (8+7)
(8+7) = 15
Evaluate
= 0
Simplifying our expression
2*15
Step 2
Simplify using Exponents
PEMDAS → Exponent
There are 0 Exponent in 2*15
We move to our next letter in PEMDAS
Step 3
Simplify using Multiplication
PEMDAS → Multiply
There are 1 Multiply in 2*15
2 * 15
This evaluates to 30
Simplify our expression
30
Step 4
Simplify using Division
PEMDAS → Divide
There are 0 Divide in 30
We move to our next letter in PEMDAS
Step 5
Simplify using Addition or Subtraction
PEMDAS → Add/Subtract
There are 0 Add/Subtract in 30
We move to our next letter in PEMDAS
Final Answer
30
Common Core State Standards In This Lesson
How does the Order of Operations Calculator work?
Free Order of Operations Calculator - Evaluates an expression using the order of operations, or PEMDAS or PEDMAS or BEDMAS or BODMAS
This calculator has 1 input.
What 6 formulas are used for the Order of Operations Calculator?
Parentheses
Exponents
Division
Multiplication
Addition
Subtraction
What 11 concepts are covered in the Order of Operations Calculator?
- addition
- math operation involving the sum of elements
- division
- separate a number into parts
- evaluate
- To calculate the value of
- exponent
- The power to raise a number
- expression
- finite combination of symbols
- mnemonic
- a device such as a pattern of letters, ideas, or associations that assists in remembering something
Examples include ROYGBIV or Rainbow Colors - multiplication
- math operation involving the product of elements
- operation
- A math process
- order of operations
- a collection of rules that reflect conventions about which procedures to perform first in order to evaluate a given mathematical expression
PEDMAS - Parentheses, Exponents, Division, Multiplication, Addition, Subtraction - parentheses
- subtraction
- math operation involving the difference of elements
Example calculations for the Order of Operations Calculator