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6 x ( 7 x 3 ) = ( 6 x 7) x 3 is an example of which property with respect to multiplication?
- a)Associative property.
- b)Closure property.
- c)Commutative property.
- d)Distributive property.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
6 x ( 7 x 3 ) = ( 6 x 7) x 3 is an example of which property with resp...
Associative Property of Multiplication:
The associative property of multiplication states that changing the grouping of the factors does not change the product. In other words, when multiplying three or more numbers, the product will be the same regardless of how the numbers are grouped.
Example:
Let's consider the expression: 6 x (7 x 3)
Step 1: Evaluate the inner expression: 7 x 3 = 21
Step 2: Substitute the value back into the original expression: 6 x 21
Step 3: Compute the product: 6 x 21 = 126
Now, let's consider the expression: (6 x 7) x 3
Step 1: Evaluate the inner expression: 6 x 7 = 42
Step 2: Substitute the value back into the original expression: 42 x 3
Step 3: Compute the product: 42 x 3 = 126
Conclusion:
As we can see, regardless of whether we first multiply 7 x 3 or 6 x 7, we obtain the same result of 126. Therefore, the expression 6 x (7 x 3) is equal to (6 x 7) x 3. This demonstrates the associative property of multiplication.
Answer:
Therefore, the given expression 6 x (7 x 3) = (6 x 7) x 3 is an example of the associative property of multiplication.
The associative property of multiplication states that changing the grouping of the factors does not change the product. In other words, when multiplying three or more numbers, the product will be the same regardless of how the numbers are grouped.
Example:
Let's consider the expression: 6 x (7 x 3)
Step 1: Evaluate the inner expression: 7 x 3 = 21
Step 2: Substitute the value back into the original expression: 6 x 21
Step 3: Compute the product: 6 x 21 = 126
Now, let's consider the expression: (6 x 7) x 3
Step 1: Evaluate the inner expression: 6 x 7 = 42
Step 2: Substitute the value back into the original expression: 42 x 3
Step 3: Compute the product: 42 x 3 = 126
Conclusion:
As we can see, regardless of whether we first multiply 7 x 3 or 6 x 7, we obtain the same result of 126. Therefore, the expression 6 x (7 x 3) is equal to (6 x 7) x 3. This demonstrates the associative property of multiplication.
Answer:
Therefore, the given expression 6 x (7 x 3) = (6 x 7) x 3 is an example of the associative property of multiplication.
Community Answer
6 x ( 7 x 3 ) = ( 6 x 7) x 3 is an example of which property with resp...
The given equation, 6×(7×3)=(6×7)×36×(7×3)=(6×7)×3, illustrates the Associative Property of multiplication. The Associative Property states that when multiplying three or more numbers, the product is the same, regardless of how the numbers are grouped. In this case, you can rearrange the grouping of the numbers without changing the result of the multiplication.
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6 x ( 7 x 3 ) = ( 6 x 7) x 3 is an example of which property with respect to multiplication?a)Associative property. b)Closure property.c)Commutative property.d)Distributive property.Correct answer is option 'A'. Can you explain this answer?
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