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Simplify : 3.23 +29.375+81.2016+0.3376...

Simplify `: 3.23 +29.375+81.2016+0.3376`

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The correct Answer is:
To simplify the expression \(3.23 + 29.375 + 81.2016 + 0.3376\), we will follow these steps: ### Step 1: Align the Numbers First, we need to align the numbers by their decimal points. To do this, we will convert all the numbers to have the same number of decimal places. The maximum number of digits after the decimal point in the given numbers is 4. - \(3.23\) can be written as \(3.2300\) - \(29.375\) remains \(29.3750\) - \(81.2016\) remains \(81.2016\) - \(0.3376\) remains \(0.3376\) Now, we can write them in a column format: ``` 3.2300 + 29.3750 + 81.2016 + 0.3376 ``` ### Step 2: Add the Numbers Column by Column Now we will add the numbers starting from the rightmost column (the thousandths place) to the leftmost column. 1. **Thousandths place**: \(0 + 0 + 6 + 6 = 12\) → Write down \(2\) and carry over \(1\). 2. **Hundredths place**: \(0 + 5 + 1 + 7 = 13\) (plus the carry \(1\) gives \(14\)) → Write down \(4\) and carry over \(1\). 3. **Tenths place**: \(3 + 3 + 2 + 3 = 11\) (plus the carry \(1\) gives \(12\)) → Write down \(2\) and carry over \(1\). 4. **Units place**: \(3 + 9 + 8 + 0 = 20\) (plus the carry \(1\) gives \(21\)) → Write down \(1\) and carry over \(2\). 5. **Tens place**: \(2 + 2 = 4\) (plus the carry \(1\) gives \(5\)) → Write down \(5\). ### Step 3: Write the Final Answer Putting all the results together, we get: ``` 3.2300 + 29.3750 + 81.2016 + 0.3376 ___________ 114.1442 ``` Thus, the simplified result of \(3.23 + 29.375 + 81.2016 + 0.3376\) is **114.1442**.
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