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(.803xx.647+.803xx.353)=?...

`(.803xx.647+.803xx.353)=?`

A

0.803

B

1

C

0.45

D

1.45

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( (0.803 \times 0.647 + 0.803 \times 0.353) \), we can follow these steps: ### Step 1: Identify the common factor Notice that both terms in the expression have a common factor, which is \( 0.803 \). ### Step 2: Factor out the common term We can factor out \( 0.803 \) from the expression: \[ 0.803 \times (0.647 + 0.353) \] ### Step 3: Add the numbers inside the parentheses Now, we need to add \( 0.647 \) and \( 0.353 \): \[ 0.647 + 0.353 = 1.000 \] ### Step 4: Multiply the result by the common factor Now we multiply the result from Step 3 by \( 0.803 \): \[ 0.803 \times 1.000 = 0.803 \] ### Final Answer Thus, the value of the expression \( (0.803 \times 0.647 + 0.803 \times 0.353) \) is: \[ \boxed{0.803} \] ---
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