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The value of 4+ 44/10+404/100+444/1000+4...

The value of `4+ 44/10+404/100+444/1000+4/10000` is:

A

12.8944

B

12.8844

C

12.8804

D

12.8224

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 4 + \frac{44}{10} + \frac{404}{100} + \frac{444}{1000} + \frac{4}{10000} \), we will break it down step by step. ### Step 1: Convert each term to decimal form 1. The first term is \( 4 \). 2. The second term is \( \frac{44}{10} = 4.4 \). 3. The third term is \( \frac{404}{100} = 4.04 \). 4. The fourth term is \( \frac{444}{1000} = 0.444 \). 5. The fifth term is \( \frac{4}{10000} = 0.0004 \). ### Step 2: Add all the decimal values together Now we will add all the decimal values we calculated: \[ 4 + 4.4 + 4.04 + 0.444 + 0.0004 \] ### Step 3: Perform the addition Let's add them step by step: 1. \( 4 + 4.4 = 8.4 \) 2. \( 8.4 + 4.04 = 12.44 \) 3. \( 12.44 + 0.444 = 12.884 \) 4. \( 12.884 + 0.0004 = 12.8844 \) ### Final Result The value of the expression \( 4 + \frac{44}{10} + \frac{404}{100} + \frac{444}{1000} + \frac{4}{10000} \) is \( 12.8844 \).
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