Module 4 Flashcard - Expressions Deeter

Front

What is an expression in mathematics?

Back

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

Front

What does it mean to multiply a number by the difference of two other numbers?

Back

It means to take the result of subtracting the second number from the first and then multiply that result by the given number.

Front

How do you rewrite an expression with parentheses to change its value?

Back

You can group certain parts of the expression using parentheses to alter the order of operations, which can change the overall value of the expression.

Front

What is the order of operations in mathematics?

Back

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

Front

What is the value of the expression 10 - 4 × 7 + 5 when calculated using the order of operations?

Back

The value is -18, calculated as follows: 10 - (4 × 7) + 5 = 10 - 28 + 5 = -18.

Front

How do you model a situation using an expression?

Back

You identify the quantities involved and their relationships, then translate those relationships into a mathematical expression.

Front

What is the result of multiplying a number by zero?

Back

The result is always zero, regardless of the other number.

Front

What is the significance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first, affecting the outcome of the expression.

Front

How do you evaluate an expression with multiple operations?

Back

You follow the order of operations (PEMDAS) to evaluate the expression step by step.

Front

What is the value of the expression 100 - 14 ÷ 2 × (3 + 7)?

Back

The value is 30, calculated as follows: 100 - (14 ÷ 2) × (3 + 7) = 100 - 7 × 10 = 100 - 70 = 30.