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Convert the following rational numbers i...

Convert the following rational numbers into decimals:
`(1)/(2)`

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The correct Answer is:
To convert the rational number \( \frac{1}{2} \) into a decimal, we can follow these steps: ### Step 1: Set up the division We need to divide 1 by 2. This can be written as: \[ 1 \div 2 \] ### Step 2: Add a decimal point and a zero Since 1 is smaller than 2, we cannot divide directly. Therefore, we add a decimal point and a zero to 1, making it 1.0. This allows us to perform the division: \[ 1.0 \div 2 \] ### Step 3: Perform the division Now we can divide: - 2 goes into 10 five times (because \( 2 \times 5 = 10 \)). - Write down 5 after the decimal point. ### Step 4: Subtract Now, subtract 10 from 10: \[ 10 - 10 = 0 \] ### Step 5: Write the final answer Since there are no remainders, the division is complete. Thus, we can conclude: \[ \frac{1}{2} = 0.5 \] ### Final Answer The decimal representation of \( \frac{1}{2} \) is \( 0.5 \). ---
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