QQuestionMathematics
QuestionMathematics
Which property is illustrated by the equation 7×9 = 9×7?
A. Commutative Property of Multiplication
B. Inverse Property of Multiplication
C. Associative Property of Multiplication
D. Identity Property of Multiplication
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Answer
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Step 1:I'll solve this step by step with precise LaTeX formatting:
Step 2:: Analyze the Equation
The equation $$7 \times 9 = 9 \times 7$$ shows that the order of multiplication can be changed without affecting the result.
Step 3:: Verify the Numerical Equality
- $$9 \times 7 = 63
Let's confirm the numerical equality:
Step 4:: Identify the Mathematical Property
This demonstrates that multiplication can be performed in any order, and the result remains the same. This is the definition of the Commutative Property of Multiplication.
Step 5:: Formal Definition
The Commutative Property states that for any real numbers $$a$$ and $$b$$:
a \times b = b \times a
Step 6:: Eliminate Other Properties
- Inverse Property involves multiplying a number by its reciprocal - Associative Property involves grouping of numbers - Identity Property involves multiplying by 1
Final Answer
Commutative Property of Multiplication
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