Order of Operations

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The correct order is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is the first step in solving the expression: 4 + 6 ÷ 2 + 5?

Back

The first step is to perform the division: 6 ÷ 2 = 3. Then, the expression becomes 4 + 3 + 5.

Front

Solve the expression: (2 + 7 - 1) ÷ 2^2.

Back

The solution is 2. First, calculate inside the parentheses: (2 + 7 - 1) = 8. Then, divide by 2^2 (which is 4): 8 ÷ 4 = 2.

Front

Which operation do you perform first in the expression: 10 - 4 ÷ 1 x 5?

Back

You perform Division first. According to the Order of Operations, division comes before subtraction.

Front

Solve the expression: 3 + 3^3 - 3.

Back

The solution is 27. First, calculate the exponent: 3^3 = 27. Then, the expression becomes 3 + 27 - 3 = 27.

Front

What does 'Parentheses' mean in the Order of Operations?

Back

Parentheses indicate that the operations inside them should be performed first before any other operations.

Front

What is the role of 'Exponents' in the Order of Operations?

Back

Exponents indicate how many times a number is multiplied by itself. They are calculated after parentheses but before multiplication and division.

Front

What is the result of the expression: 5 + 2 x 3?

Back

The result is 11. First, perform the multiplication: 2 x 3 = 6. Then, add: 5 + 6 = 11.

Front

What is the result of the expression: 8 ÷ 2 + 3 x 4?

Back

The result is 14. First, perform the division: 8 ÷ 2 = 4. Then, perform the multiplication: 3 x 4 = 12. Finally, add: 4 + 12 = 16.

Front

What is the result of the expression: 6 - 2 + 3?

Back

The result is 7. Perform the operations from left to right: 6 - 2 = 4, then 4 + 3 = 7.