Order of Operations Calculator
The order of operations calculator calculates the value for the given expression. The order of operations is a set of rules that is to be followed in a particular sequence while solving an expression.
What is the Order of Operations Calculator?
Order of Operations Calculator is an online tool that helps to calculate the value for the given expression. This online order of operations calculator helps you to calculate the value for the given expression in a few seconds.
Order of Operations Calculator
NOTE: To use this order of operations calculator, please use '*' symbol for a multiplication operation and the '/ ' symbol for division operation.
How to Use Order of Operations Calculator?
Please follow the steps below to find the value using an online order of operations calculator:
- Step 1: Go to Cuemath’s online order of operations calculator.
- Step 2: Enter any expression in the given input box of the order of operation calculator.
- Step 3: Click on the "Calculate" button to find the value of the given expression.
- Step 4: Click on the "Reset" button to clear the fields and enter the new expression.
How Order of Operations Calculator Works?
Order of operations is defined as the process of evaluating any mathematical expression, involving arithmetic operations such as division, multiplication, addition, and subtraction. The order of Operations is the rule in math that states we evaluate the parentheses/brackets first, the exponents/the orders second, division or multiplication third (from left to right, whichever comes first), and the addition or subtraction at the last (from left to right, whichever comes first).
Order of Operations Rules:
While performing any sort of an operation on the respective numbers present in the expression we will follow the given basic rules in the particular sequence.
Rule 1: Observe the expression. The first rule is to solve the numbers present inside the parentheses or brackets. We solve inside to out grouping operations. Note the pattern of brackets present in the expression, there is a particular order to solve the parentheses, i.e., [ { ( ) } ]. First, solve the round brackets ( ) → curly brackets { } → box brackets [ ]. Inside the parentheses, the order of operations is to be followed.
Rule 2: After solving the numbers in the parentheses, look for any term present in the form of exponents and solve it.
Rule 3: Now we are left with the basic four operators. Look for the numbers with the operation of multiplication or division, solve them from left to right.
Rule 4: Lastly, look for the terms with addition or subtraction and solve them from left to right.
Solved Examples on Order of Operations Calculator
Example 1:
Find the value of the given expression using the order of operations (15 + 8) × 7 and verify it using the order of operations calculator?
Solution:
To solve the given expression, we have to apply the order of operations rules.
First, we have to solve the expression in brackets i.e.,(15 + 8) = 23
= 23 × 7
= 161
Example 2:
Find the value of the given expression using the order of operations 7 + (6 × 3) and verify it using the order of operations calculator.
Solution:
To solve the given expression, we have to apply the order of operations rules.
So, according to that, first, we have to solve the expression in brackets
6 × 3 = 18
Now, we can rewrite our expression as, 7 + 18 = 25.
Example 3:
Find the value of the given expression using the order of operations (10 + 6) / 2 * 7 and verify it using the order of operations calculator.
Solution:
To solve the given expression, we have to apply the order of operations rules.
So, according to that, first, we have to solve the expression in brackets
10 + 6 = 16
After, 16/2 = 8
Now, we can rewrite our expression as, 8 × 7 = 56.
Similarly, you can use the order of operations calculator and find the value for:
- (20 ÷ 10 × 5) + 84
- {46 ÷ (25 - 42)}