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pnsəixdse Which property is illustrated in each of the following: a. Which property is illustrated by 2. (7 5) = (2•7)•5? O A. The identity property of multiplication O B. The commutative property of multiplication O C. The associative property of multiplication O D. The distributive property of multiplication over addition O E. The zero multiplication property b. Which property is illustrated by 2• (7 • 5) = 2• (5 •7)? O A. The commutative property of multiplication O B. The distributive property of multiplication over addition O C. The identity property of multiplication. O D. The zero multiplication property E. The associative property of multiplication

pnsəixdse Which property is illustrated in each of the following: a. Which property is illustrated by 2. (7 5) = (2•7)•5? O A. The identity property of multiplication O B. The commutative property of multiplication O C. The associative property of multiplication O D. The distributive property of multiplication over addition O E. The zero multiplication property b. Which property is illustrated by 2• (7 • 5) = 2• (5 •7)? O A. The commutative property of multiplication O B. The distributive property of multiplication over addition O C. The identity property of multiplication. O D. The zero multiplication property E. The associative property of multiplication

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Understanding Mathematical Properties** In this exercise, students are asked to identify which mathematical property is demonstrated by certain equations. **Question a:** Which property is illustrated by \(2 \cdot (7 \cdot 5) = (2 \cdot 7) \cdot 5\)? - **A.** The identity property of multiplication - **B.** The commutative property of multiplication - **C.** The associative property of multiplication - **D.** The distributive property of multiplication over addition - **E.** The zero multiplication property **Question b:** Which property is illustrated by \(2 \cdot (7 \cdot 5) = 2 \cdot (5 \cdot 7)\)? - **A.** The commutative property of multiplication - **B.** The distributive property of multiplication over addition - **C.** The identity property of multiplication - **D.** The zero multiplication property - **E.** The associative property of multiplication These exercises help reinforce understanding of the basic properties of multiplication: - **Commutative Property:** Changing the order of factors does not change the product. - **Associative Property:** Changing the grouping of factors does not change the product. - **Identity Property:** The product of any number and one is the number itself. - **Zero Property:** The product of any number and zero is zero. - **Distributive Property:** Multiplication distributes over addition, \(a(b+c) = ab + ac\).
Transcribed Image Text:**Understanding Mathematical Properties** In this exercise, students are asked to identify which mathematical property is demonstrated by certain equations. **Question a:** Which property is illustrated by \(2 \cdot (7 \cdot 5) = (2 \cdot 7) \cdot 5\)? - **A.** The identity property of multiplication - **B.** The commutative property of multiplication - **C.** The associative property of multiplication - **D.** The distributive property of multiplication over addition - **E.** The zero multiplication property **Question b:** Which property is illustrated by \(2 \cdot (7 \cdot 5) = 2 \cdot (5 \cdot 7)\)? - **A.** The commutative property of multiplication - **B.** The distributive property of multiplication over addition - **C.** The identity property of multiplication - **D.** The zero multiplication property - **E.** The associative property of multiplication These exercises help reinforce understanding of the basic properties of multiplication: - **Commutative Property:** Changing the order of factors does not change the product. - **Associative Property:** Changing the grouping of factors does not change the product. - **Identity Property:** The product of any number and one is the number itself. - **Zero Property:** The product of any number and zero is zero. - **Distributive Property:** Multiplication distributes over addition, \(a(b+c) = ab + ac\).
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