Podcast
Questions and Answers
The _______________ Property states that the order of addends does not change the result in addition.
The _______________ Property states that the order of addends does not change the result in addition.
Commutative
The _______________ Property states that the order of factors does not change the result in multiplication.
The _______________ Property states that the order of factors does not change the result in multiplication.
Commutative
In subtraction, the order of operands is _______________ and does change the result.
In subtraction, the order of operands is _______________ and does change the result.
not commutative
In multiplication, the order in which factors are grouped does not change the result, this is known as the _______________ Property.
In multiplication, the order in which factors are grouped does not change the result, this is known as the _______________ Property.
Signup and view all the answers
The _______________ Property allows multiplication to be distributed over addition.
The _______________ Property allows multiplication to be distributed over addition.
Signup and view all the answers
The order of operands in division does _______________ the result.
The order of operands in division does _______________ the result.
Signup and view all the answers
Study Notes
Combined Operations
Combined operations involve performing multiple mathematical operations in a specific order to evaluate an expression. The order of operations is crucial to ensure accurate results.
Order of Operations
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate addition and subtraction operations from left to right.
Addition
- Commutative Property: The order of addends does not change the result. (e.g., 2 + 3 = 3 + 2)
- Associative Property: The order in which addends are grouped does not change the result. (e.g., (2 + 3) + 4 = 2 + (3 + 4))
Subtraction
- Not Commutative: The order of operands does change the result. (e.g., 2 - 3 ≠ 3 - 2)
- Not Associative: The order in which operands are grouped does change the result. (e.g., (2 - 3) - 4 ≠ 2 - (3 - 4))
Multiplication
- Commutative Property: The order of factors does not change the result. (e.g., 2 × 3 = 3 × 2)
- Associative Property: The order in which factors are grouped does not change the result. (e.g., (2 × 3) × 4 = 2 × (3 × 4))
- Distributive Property: Multiplication can be distributed over addition. (e.g., 2 × (3 + 4) = 2 × 3 + 2 × 4)
Division
- Not Commutative: The order of operands does change the result. (e.g., 2 ÷ 3 ≠ 3 ÷ 2)
- Not Associative: The order in which operands are grouped does change the result. (e.g., (2 ÷ 3) ÷ 4 ≠ 2 ÷ (3 ÷ 4))
Remember to follow the order of operations when evaluating expressions that involve multiple combined operations.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Evaluate mathematical expressions by following the correct order of operations. Learn the rules for combining addition, subtraction, multiplication, and division operations. Practice with examples to master the basics.
