Order of Operations with Integers

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 order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often abbreviated as PEMDAS.

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). It is a mnemonic to remember the order of operations.

Front

Solve: 8 + 2 × 5

Back

18 (First, multiply 2 × 5 = 10, then add 8 + 10 = 18).

Front

Solve: 10 - 3 + 4

Back

11 (First, subtract 10 - 3 = 7, then add 7 + 4 = 11).

Front

What is the result of -3(-5)?

Back

15 (Multiplying two negative numbers results in a positive number).

Front

Explain the error in: 5 - 3 + 2 = 0

Back

The error is that addition was done first instead of subtraction. The correct order is to subtract first: 5 - 3 = 2, then add 2 + 2 = 4.

Front

Solve: -42 ÷ (-6) + 5 - 8

Back

4 (First, divide -42 by -6 to get 7, then add 7 + 5 = 12, and finally subtract 12 - 8 = 4).

Front

What is the first step in solving 50 - 16 ÷ 2 × (12 + 4)?

Back

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

Front

What is the result of 2 + (9² - 4)?

Back

79 (First, calculate 9² = 81, then subtract 81 - 4 = 77, and finally add 2 + 77 = 79).

Front

What is the importance of parentheses in order of operations?

Back

Parentheses indicate which operations should be performed first, allowing for the correct evaluation of expressions.