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70201.002+?=756xx8+9.007...

`70201.002+?=756xx8+9.007`

A

65143.995

B

(-64143.995)

C

64143.995

D

15144

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 70201.002 + ? = 756xx8 + 9.007 \), we will follow these steps: ### Step 1: Simplify the right side of the equation We need to calculate \( 756xx8 + 9.007 \). Since \( xx \) represents unknown digits, we will denote \( 756xx8 \) as \( 75600 + 100x + 10y + 8 \) where \( x \) and \( y \) are the unknown digits. ### Step 2: Rearranging the equation We can rearrange the equation to isolate the question mark: \[ ? = 756xx8 + 9.007 - 70201.002 \] ### Step 3: Calculate \( 756xx8 + 9.007 \) Now we need to express \( 756xx8 + 9.007 \) in a more manageable form. We can write: \[ 756xx8 = 75600 + 100x + 10y + 8 \] So, \[ 756xx8 + 9.007 = (75600 + 100x + 10y + 8) + 9.007 \] This simplifies to: \[ 75600 + 100x + 10y + 17.007 \] ### Step 4: Substitute back into the equation Now we substitute this back into our rearranged equation: \[ ? = (75600 + 100x + 10y + 17.007) - 70201.002 \] ### Step 5: Perform the subtraction Now we perform the subtraction: \[ ? = (75600 + 100x + 10y + 17.007) - 70201.002 \] Calculating \( 75600 - 70201.002 \): \[ 75600 - 70201.002 = 5398.998 \] So, \[ ? = 5398.998 + 100x + 10y \] ### Step 6: Conclusion The value of the question mark \( ? \) is: \[ ? = 5398.998 + 100x + 10y \]
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