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 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

How do you simplify the expression: (-5) - (-3) x (-4)?

Back

To simplify, follow the Order of Operations: First, calculate (-3) x (-4) = 12. Then, (-5) - 12 = -17.

Front

What is the result of the expression: -2 ⋅ (3 + 8 ÷ 4)²?

Back

First, calculate 8 ÷ 4 = 2. Then, (3 + 2)² = 5² = 25. Finally, -2 ⋅ 25 = -50.

Front

How do you simplify: -8 ( -3 + -10 ) + (-5)?

Back

First, simplify inside the parentheses: -3 + -10 = -13. Then, -8 × -13 = 104. Finally, 104 + (-5) = 99.

Front

What is the value of an expression with multiple operations?

Back

The value of an expression with multiple operations is found by applying the Order of Operations to ensure calculations are performed in the correct sequence.

Front

What is the significance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, altering the standard order of operations.

Front

What is an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself. For example, 2² means 2 x 2.

Front

What is the difference between multiplication and division in the Order of Operations?

Back

Multiplication and division are performed from left to right in the order they appear in the expression, meaning they are of equal precedence.

Front

What is the difference between addition and subtraction in the Order of Operations?

Back

Addition and subtraction are also performed from left to right in the order they appear, meaning they are of equal precedence.