Pollard Nguyen
06/28/2023 · Senior High School

Which of the following demonstrates the commutative property across multiplication for \( 2 \times 10 \times 7 \) A) \( 2+10 \times 7 \) B) \( 2 \times 10) \times 7 \) C) \( 2 \times(10 \times 7) \) D) \( 10 \times 7 \times 2 \) (D)

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

The commutative property of multiplication states that changing the order of the factors does not change the product. In other words, \( a \times b = b \times a \). For the expression \( 2 \times 10 \times 7 \), we can rearrange the factors in any order and the product will remain the same. Let's analyze the options: A) \( 2 + 10 \times 7 \) - This does not demonstrate multiplication and is not relevant to the commutative property. B) \( (2 \times 10) \times 7 \) - This shows the associative property, not the commutative property. C) \( 2 \times (10 \times 7) \) - This also shows the associative property, not the commutative property. D) \( 10 \times 7 \times 2 \) - This rearranges the factors of the original expression \( 2 \times 10 \times 7 \) and demonstrates the commutative property. Therefore, the correct answer that demonstrates the commutative property across multiplication for \( 2 \times 10 \times 7 \) is: **D) \( 10 \times 7 \times 2 \)**.

Quick Answer

The correct answer is D) \( 10 \times 7 \times 2 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
Basic
  • Limited Solutions