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 operations should be performed in a mathematical expression. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the acronym PEMDAS stand for?

Back

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

Front

How do you solve the expression 20 x 2 - (10 - 4)?

Back

First, solve the parentheses: (10 - 4) = 6. Then, perform multiplication: 20 x 2 = 40. Finally, subtract: 40 - 6 = 34.

Front

What is the first step in solving the expression 50 − 16 ÷ 2 ∗ (12 + 4)?

Back

The first step is to solve the expression inside the parentheses: (12 + 4) = 16.

Front

What operations are performed after solving parentheses in the expression 50 − 16 ÷ 2 ∗ (12 + 4)?

Back

After solving parentheses, perform division and multiplication from left to right.

Front

What is the result of the expression (-36)/9 - 2?

Back

First, divide: (-36)/9 = -4. Then, subtract: -4 - 2 = -6.

Front

How do you evaluate the expression (-7) - 3²?

Back

First, calculate the exponent: 3² = 9. Then, subtract: (-7) - 9 = -16.

Front

In the expression 44 ÷ 2 X (3 - 1), which operation is performed second?

Back

The second operation performed is division (44 ÷ 2).

Front

What is the result of the expression 50 − 16 ÷ 2 ∗ (12 + 4) after applying the Order of Operations?

Back

The result is 50 - 8 * 16 = 50 - 128 = -78.

Front

Why is it important to follow the Order of Operations?

Back

Following the Order of Operations ensures that mathematical expressions are evaluated consistently and correctly, leading to the same result regardless of who performs the calculation.