Order of Operations Review

Front

What does the acronym PEMDAS stand for in the order of operations?

Back

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

Front

What is a composite number?

Back

A composite number is a positive integer that has at least one positive divisor other than one or itself, meaning it can be divided evenly by numbers other than 1 and itself.

Front

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

Back

The first step is to perform the subtraction (5 - 3) before the addition.

Front

How do you simplify the expression 11 - (18 ÷ 9) · 5 + 5?

Back

First, divide 18 by 9 to get 2, then multiply by 5 to get 10. Finally, perform the operations from left to right: 11 - 10 + 5 = 6.

Front

What is the result of the expression (5 + 16) ÷ 7 - 3?

Back

First, add 5 and 16 to get 21, then divide by 7 to get 3. Finally, subtract 3 to get 0.

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, helping to clarify the order of operations.

Front

What is the difference between a prime number and a composite number?

Back

A prime number has exactly two distinct positive divisors: 1 and itself, while a composite number has more than two positive divisors.

Front

How do you handle multiplication and division in the order of operations?

Back

Multiplication and division are performed from left to right, as they appear in the expression.

Front

What is the result of the expression 4 + 3 × 2?

Back

According to the order of operations, multiply first: 3 × 2 = 6, then add: 4 + 6 = 10.

Front

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

Back

First, perform the multiplication: 5 × 3 = 15, then do the addition and subtraction from left to right: 8 - 2 + 15 = 21.