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