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 common acronym used to remember the order is PEMDAS: 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 evaluate an expression with parentheses?

Back

You first perform the operations inside the parentheses before applying any other operations in the expression.

Front

What is the result of the expression 24 × (20 + 5)?

Back

The result is 24 × 25 = 600.

Front

How do you interpret the phrase 'subtract the sum of eight and six from twenty-four'?

Back

You first calculate the sum of eight and six, which is 14, and then subtract that from twenty-four: 24 - 14.

Front

What operation is indicated by the word 'sum'?

Back

The word 'sum' indicates the addition operation, represented by the symbol +.

Front

What operation is indicated by the word 'difference'?

Back

The word 'difference' indicates the subtraction operation, represented by the symbol -.

Front

What operation is indicated by the word 'product'?

Back

The word 'product' indicates the multiplication operation, represented by the symbol ×.

Front

What operation is indicated by the word 'quotient'?

Back

The word 'quotient' indicates the division operation, represented by the symbol ÷.

Front

How do you evaluate the expression 3 + (4 x 12)?

Back

You first calculate the multiplication inside the parentheses: 4 x 12 = 48, then add 3: 3 + 48 = 51.