Numerical Expressions

Front

What is a numerical expression?

Back

A numerical expression is a mathematical phrase that includes numbers and operations (such as addition, subtraction, multiplication, and division) but does not contain any variables.

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What is the order of operations in mathematics?

Back

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

Front

How do you evaluate a numerical expression?

Back

To evaluate a numerical expression, follow the order of operations: perform calculations inside parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

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What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you write a verbal expression as a numerical expression?

Back

To write a verbal expression as a numerical expression, identify the mathematical operations described in the words and translate them into numbers and symbols.

Front

What is the result of the expression 4 + 2 x 7?

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The result is 18, following the order of operations (multiplication before addition).

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What is the significance of parentheses in numerical expressions?

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Parentheses indicate that the operations inside them should be performed first, altering the standard order of operations.

Front

How do you solve an equation with multiple operations?

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To solve an equation with multiple operations, apply the order of operations systematically, ensuring to simplify step by step.

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What is a sequence of numbers?

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A sequence of numbers is an ordered list of numbers that follow a particular pattern or rule.