Parentheses in Multiplication

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 it mean to evaluate an expression with parentheses?

Back

Evaluating an expression with parentheses means to perform the operations inside the parentheses first before applying any other operations outside of them.

Front

How do you simplify the expression (a + b) × c?

Back

To simplify (a + b) × c, first calculate the sum of a and b, then multiply the result by c.

Front

What is the result of (5 + 2) × 3?

Back

The result is 21, because you first calculate (5 + 2) = 7, then multiply by 3.

Front

What is the difference between multiplication and addition in expressions with parentheses?

Back

Multiplication has a higher precedence than addition, meaning that in expressions with both, multiplication is performed first unless parentheses dictate otherwise.

Front

How do parentheses affect the outcome of an expression?

Back

Parentheses change the order of operations, ensuring that the calculations within them are performed first, which can significantly alter the result of the expression.

Front

What is the value of (6 × 2) + (3 × 4)?

Back

The value is 30, calculated as (6 × 2) = 12 and (3 × 4) = 12, then adding them together: 12 + 12 = 24.

Front

What is the result of (8 - 3) × (2 + 1)?

Back

The result is 15, calculated as (8 - 3) = 5 and (2 + 1) = 3, then multiplying: 5 × 3 = 15.

Front

How do you solve (x + 2) × 3 = 15 for x?

Back

To solve for x, divide both sides by 3 to get x + 2 = 5, then subtract 2 from both sides to find x = 3.

Front

What is the significance of using parentheses in mathematical expressions?

Back

Parentheses are significant because they indicate which operations should be performed first, helping to avoid ambiguity in calculations.