Understanding the equation Xx4 = 4 is essential to finding the value of Xx2x8. To tackle this mathematical problem, let us explore this equation step by step, breaking down the operations involved and deriving the necessary values.
Analyzing the Equation Xx4 = 4
The equation Xx4 = 4 can be rewritten for clarity as X multiplied by 4 equals 4. To isolate X, we can perform the inverse operation of multiplication by dividing both sides of the equation by 4:
[X = \frac{4}{4}
]
This simplifies to:
[X = 1
]
Substituting the Value of X into Xx2x8
Now that we have established that X equals 1, we need to substitute this value into the expression Xx2x8, which is interpreted as X multiplied by 2 multiplied by 8. Substituting X = 1 into the expression gives us the following calculation:
[Xx2x8 = 1 \times 2 \times 8
]
Calculating the Result
Next, we carry out the multiplication step-by-step. First, we multiply 1 by 2:
[1 \times 2 = 2
]
Then, we multiply the result by 8:
[2 \times 8 = 16
]
Conclusion of the Calculation
With the operations completed, the final value of the expression Xx2x8 is 16.
Frequently Asked Questions
1. How can I verify the value of X in the equation Xx4 = 4?
Verification is simple. After calculating that X = 1, substitute it back into the original equation. Compute 1 multiplied by 4, which results in 4, confirming the correctness of the value.
2. What mathematical operation is used to isolate X in the equation?
The operation used to isolate X is division. By dividing both sides of the equation by 4, the value of X can be found efficiently.
3. What would happen if the original equation was different, for instance, if it was Xx4 = 8?
If the equation were Xx4 = 8, you would follow the same process. Dividing both sides by 4 would yield X = 2. Consequently, substituting X = 2 into Xx2x8 would lead to a calculation of 2 multiplied by 2 multiplied by 8, resulting in 32.