Order of Operations (grouping) Practice - A (RC)

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The common acronym is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does 'grouping' mean in the context of order of operations?

Back

Grouping refers to the use of parentheses or brackets to indicate which operations should be performed first in a mathematical expression.

Front

Evaluate: 5 + 3 × (2 + 4)

Back

First, evaluate the expression in parentheses: (2 + 4) = 6. Then, perform multiplication: 3 × 6 = 18. Finally, add: 5 + 18 = 23.

Front

Evaluate: (8 - 3) × 2 + 5

Back

First, evaluate the expression in parentheses: (8 - 3) = 5. Then, perform multiplication: 5 × 2 = 10. Finally, add: 10 + 5 = 15.

Front

What is the first step in evaluating the expression: 12 ÷ (3 + 1) × 2?

Back

The first step is to evaluate the expression in parentheses: (3 + 1) = 4.

Front

Evaluate: 10 - 2 × (3 + 1)

Back

First, evaluate the expression in parentheses: (3 + 1) = 4. Then, perform multiplication: 2 × 4 = 8. Finally, subtract: 10 - 8 = 2.

Front

What is the result of: 6 + 2 × (5 - 3)?

Back

First, evaluate the expression in parentheses: (5 - 3) = 2. Then, perform multiplication: 2 × 2 = 4. Finally, add: 6 + 4 = 10.

Front

Evaluate: 15 - (6 ÷ 2) + 3

Back

First, evaluate the expression in parentheses: (6 ÷ 2) = 3. Then, perform subtraction: 15 - 3 = 12. Finally, add: 12 + 3 = 15.

Front

What is the order of operations when evaluating: 4 + 3 × 2?

Back

According to the order of operations, multiplication is performed before addition. So, first calculate 3 × 2 = 6, then add: 4 + 6 = 10.

Front

Evaluate: (2 + 3) × (4 - 1)

Back

First, evaluate the expressions in parentheses: (2 + 3) = 5 and (4 - 1) = 3. Then, multiply: 5 × 3 = 15.