Order of Operations Challenge

Front

What is the Order of Operations?

Back

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

Front

What does PEMDAS stand for?

Back

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

Front

What is the value of 3 + 5 × 2?

Back

The value is 13. According to the Order of Operations, multiplication is performed before addition.

Front

How do you simplify the expression 8 - (3 + 2) × 2?

Back

First, simplify inside the parentheses: 3 + 2 = 5. Then, multiply: 5 × 2 = 10. Finally, subtract: 8 - 10 = -2.

Front

What is the result of 4 × (2 + 3) - 5?

Back

The result is 15. First, calculate inside the parentheses: 2 + 3 = 5. Then, multiply: 4 × 5 = 20. Finally, subtract: 20 - 5 = 15.

Front

What is a fraction in simplest form?

Back

A fraction is in simplest form when the numerator and denominator have no common factors other than 1.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the decimal equivalent of 1/5?

Back

The decimal equivalent of 1/5 is 0.2.

Front

What is the value of -3 + 2 × 4?

Back

The value is 5. First, multiply: 2 × 4 = 8. Then, add: -3 + 8 = 5.

Front

What is the result of (6 - 2)²?

Back

The result is 16. First, calculate inside the parentheses: 6 - 2 = 4. Then, square it: 4² = 16.