Order of Operations

Front

What is the Order of Operations in mathematics?

Back

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

Front

How do you solve an expression with parentheses?

Back

To solve an expression with parentheses, you first perform the operations inside the parentheses before applying any other operations according to the Order of Operations.

Front

What does the term 'exponent' mean in mathematics?

Back

An exponent refers to the number of times a base is multiplied by itself. For example, in 5^4, 5 is the base and 4 is the exponent, meaning 5 is multiplied by itself 4 times.

Front

What is the result of the expression (7 x 3) + 9?

Back

The result is 30. First, multiply 7 by 3 to get 21, then add 9 to get 30.

Front

How do you simplify the expression 5 x 5 x 5 x 5?

Back

You can simplify it to 5^4, which means 5 multiplied by itself 4 times.

Front

What is the value of the expression (3 x 3) + 6 - 4?

Back

The value is 11. First, calculate 3 x 3 to get 9, then add 6 to get 15, and finally subtract 4 to get 11.

Front

How do you perform division and multiplication in an expression?

Back

In an expression, division and multiplication are performed from left to right, according to the Order of Operations.

Front

What is the result of the expression 8 ÷ 8 + 6 × 2?

Back

The result is 13. First, divide 8 by 8 to get 1, then multiply 6 by 2 to get 12, and finally add them together to get 13.

Front

What is the result of the expression (7 x 5) + 5?

Back

The result is 40. First, multiply 7 by 5 to get 35, then add 5 to get 40.

Front

What is the difference between multiplication and addition in terms of operation order?

Back

Multiplication is performed before addition in the Order of Operations, meaning you should always calculate multiplication results before adding.