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Write the following in Roman numerals. ...

Write the following in Roman numerals.
118

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To convert the number 118 into Roman numerals, we can break it down into its components and then represent each part using Roman numeral symbols. Here’s the step-by-step solution: ### Step 1: Break down the number We start by breaking down 118 into its components. We can express 118 as: \[ 118 = 100 + 18 \] ### Step 2: Write 100 in Roman numerals The Roman numeral for 100 is: \[ C \] ### Step 3: Write 18 in Roman numerals Next, we need to convert 18 into Roman numerals. We can break down 18 further: \[ 18 = 10 + 8 \] The Roman numeral for 10 is: \[ X \] And for 8, we can express it as: \[ 8 = 5 + 3 \] The Roman numeral for 5 is: \[ V \] And for 3, we can express it as: \[ III \] So, combining these, we get: \[ 8 = V + III = VIII \] Thus, 18 in Roman numerals is: \[ 18 = X + VIII = XVIII \] ### Step 4: Combine the Roman numerals Now we combine the Roman numerals for 100 and 18: \[ 118 = C + XVIII \] So, we write it as: \[ C + XVIII = C XVIII \] ### Final Answer Therefore, the Roman numeral representation of 118 is: \[ C XVIII \]
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