Evaluating Basic Arithmetic Expressions

Front

What is the order of operations in arithmetic?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. It is often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by performing the operations indicated in the expression.

Front

What is a mathematical expression?

Back

A mathematical expression is a combination of numbers, variables, and operators (such as +, -, x, ÷) that represents a value.

Front

What is the value of 9 x (4 + 6)?

Back

90

Front

What is the value of 3(8 + 7)?

Back

45

Front

What is the value of 23 x (34 - 12)?

Back

506

Front

What is the value of 44 - (4 + 1) x 8?

Back

4

Front

What is the value of 9 + 3 x 7?

Back

30

Front

What is the distributive property in arithmetic?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

How do you simplify an expression with parentheses?

Back

To simplify an expression with parentheses, first perform the operations inside the parentheses, then follow the order of operations for the rest of the expression.