Question
upstudy study bank question image url

UESTION 2
1 Which properties of numbers are used in the following equations?

Ask by Parry O'Quinn. in South Africa
Mar 06,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The associative property of multiplication is used in the equation.

Simplified Answer:
The associative property of multiplication is used.

Solution

Below is the step-by-step explanation in Markdown format:

Problem Statement

Determine which properties of numbers are used in the following equation:

Step 1: Identify the Operation

The operation involved in the expression is multiplication.

Step 2: Analyze the Equation

The equation shows that the product is the same regardless of how the numbers are grouped:
  • On the left-hand side, the numbers and are multiplied first, and then the result is multiplied by .
  • On the right-hand side, the numbers and are multiplied first, and then the result is multiplied by .
This indicates that the way the numbers are grouped does not change the final product.

Step 3: Recognize the Relevant Property

This property is known as the associative property of multiplication. According to this property, for any three numbers , , and :
In our given equation, we have:
Thus, the equation:
is a direct application of the associative property of multiplication.

Final Answer

The property used in the given equation is the associative property of multiplication.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Bonus Knowledge

The equation showcases the associative property of multiplication, which states that the way in which three or more numbers are grouped does not affect their product. In this case, whether you multiply with first or group with , the end result will be the same!
Moreover, it also hints at the commutative property of multiplication because the order in which you multiply the numbers doesn’t matter. So whether you compute or first, you’ll still arrive at the same final product. This is how multiplication keeps the math world spinning in delightful harmony!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy