Algebra Class 7: Sets and Operations

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Questions and Answers

Which of the following is NOT a whole number?

0
100
-3 (correct)
5

The commutative property of addition states that the order of numbers in addition does not affect the sum.

True (A)

What is the result of (5 + 2) × 4 using the order of operations (PEMDAS)?

The property that allows us to group numbers in addition without changing the result is called the ______ property.

<p>associative</p> Signup and view all the answers

Match the following terms with their corresponding definitions:

<p>Whole number = Numbers from 0 to ∞, including 0. Integer = Whole numbers from negative infinity (-∞) to positive infinity (+∞), including 0. Natural number = Whole numbers greater than 0.</p> Signup and view all the answers

Flashcards

Whole Numbers

Numbers from 0 to ∞, including 0.

Natural Numbers

Whole numbers greater than 0.

Order of Operations

Rules for performing calculations: PEMDAS.

Commutative Property

Order of numbers in addition/multiplication does not matter.

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Associative Property

Grouping of numbers in addition/multiplication does not matter.

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Study Notes

Sets of Numbers

Integers (ℤ): Whole numbers from negative infinity to positive infinity, including 0.
Whole numbers (W): Non-negative whole numbers, including 0.
Natural numbers (ℕ): Positive whole numbers, excluding 0.

Basic Operations

Add ( + ): Find the sum.
Subtract ( - ): Find the difference.
Multiply ( × ): Find the product.
Divide ( ÷ ): Find the quotient.

Order of Operations (PEMDAS)

P: Parentheses
E: Exponents
M: Multiply
D: Divide
A: Add
S: Subtract

Properties

Commutative Property of Addition/Multiplication: The order of numbers does not matter for addition and multiplication.
- Example: 4 + 3 = 3 + 4 and 4 × 3 = 3 × 4
Associative Property of Addition/Multiplication: The grouping of numbers does not matter for addition and multiplication.
- Example: (2 + 3) + 5 = 2 + (3 + 5) and (2 × 3) × 5 = 2 × (3 × 5)