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 common acronym to remember this is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the term 'base' mean in an exponent?

Back

In an exponent, the base is the number that is being multiplied by itself. For example, in 2^3, 2 is the base.

Front

What is the first step in solving the expression 5 + 2 × 3?

Back

The first step is to perform the multiplication: 2 × 3 = 6. Then add: 5 + 6 = 11.

Front

True or False: Multiplication always comes before addition in the order of operations.

Back

True.

Front

What is the result of the expression 10 - 2 + 4?

Back

The result is 12. First, subtract: 10 - 2 = 8, then add: 8 + 4 = 12.

Front

In the expression 3 + (4 × 2), which operation is performed first?

Back

The multiplication inside the parentheses is performed first: 4 × 2 = 8.

Front

What is the value of 6 ÷ 2 + 3 × 4?

Back

The value is 15. First, divide: 6 ÷ 2 = 3, then multiply: 3 × 4 = 12, and finally add: 3 + 12 = 15.

Front

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is the result of the expression 8 - 3 + 2 × 5?

Back

The result is 13. First, multiply: 2 × 5 = 10, then subtract and add: 8 - 3 + 10 = 15.

Front

Which operation is performed last in the expression 7 + 2 × (3 - 1)?

Back

The addition is performed last. First, solve the parentheses: 3 - 1 = 2, then multiply: 2 × 2 = 4, and finally add: 7 + 4 = 11.