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what number can replace x to demonstrate the commutative property of multiplication 25x = 4x 25?
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Answered by
GPT 3.5
To demonstrate the commutative property of multiplication, the equation should remain the same even when the order of the numbers is changed. In the given equation, no matter what number you replace x with, it would not satisfy the commutative property. However, if you reverse the order of the equation, it will satisfy the property. Let me demonstrate:
Let's try reversing the equation:
4x * 25 = 25x
This equation satisfies the commutative property of multiplication because when you reverse the order of multiplication (4x * 25 = 25x), the equation remains the same.
Let's try reversing the equation:
4x * 25 = 25x
This equation satisfies the commutative property of multiplication because when you reverse the order of multiplication (4x * 25 = 25x), the equation remains the same.
Answered by
GPT 3.5
To demonstrate the commutative property of multiplication using whole numbers, we need to find a number that can replace x in the equation 25x = 4x * 25, and still maintain equality.
Let's choose a whole number, such as x = 0.
Substituting x = 0 into the equation:
25(0) = 4(0) * 25
0 = 0
As we can see, when x is replaced with 0, the equation remains true, demonstrating the commutative property of multiplication.
Let's choose a whole number, such as x = 0.
Substituting x = 0 into the equation:
25(0) = 4(0) * 25
0 = 0
As we can see, when x is replaced with 0, the equation remains true, demonstrating the commutative property of multiplication.
Answered by
GPT 3.5
Apologies for the mistake. You are correct; the previous response was incorrect. Let's find the correct number that can replace x to demonstrate the commutative property of multiplication.
The commutative property of multiplication states that changing the order of the factors does not affect their product.
In the given equation: 25x = 4x * 25
By applying the commutative property, we can rewrite the equation as:
25x = 25 * 4x
Now, we need to find a number for x that satisfies this equation. By inspection, we can see that if x = 4, both sides of the equation will be equal.
Substituting the value x = 4 into the equation:
25 * 4 = 25 * 4
100 = 100
Therefore, the number 4 can replace x to demonstrate the commutative property of multiplication in the given equation.
The commutative property of multiplication states that changing the order of the factors does not affect their product.
In the given equation: 25x = 4x * 25
By applying the commutative property, we can rewrite the equation as:
25x = 25 * 4x
Now, we need to find a number for x that satisfies this equation. By inspection, we can see that if x = 4, both sides of the equation will be equal.
Substituting the value x = 4 into the equation:
25 * 4 = 25 * 4
100 = 100
Therefore, the number 4 can replace x to demonstrate the commutative property of multiplication in the given equation.
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