QQuestionMathematics
QuestionMathematics
Tyler says, "9 x 7 is greater than 7 x 9 because the greater number is first."
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:Let's solve this problem step by step and demonstrate why Tyler's statement is incorrect.
Step 2:: Understand the Multiplication Operation
In other words, $$a \times b = b \times a$$ for any numbers $$a$$ and $$b$$.
Multiplication is commutative, which means the order of factors does not change the product.
Step 3:: Calculate 9 × 7
9 \times 7 = 63
Step 4:: Calculate 7 × 9
7 \times 9 = 63
Step 5:: Compare the Results
As we can see, $$9 \times 7 = 7 \times 9 = 63$$.
The order of multiplication does not affect the result.
Step 6:: Explain Tyler's Misconception
Tyler incorrectly believes that placing the larger number first somehow changes the result of multiplication. This is false. The commutative property of multiplication ensures that the order of factors does not change the product.
Final Answer
The order of multiplication does not affect the product.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students