Write each of the as a decimal number:
`600+7+(3)/(100)+(6)/(1000)`

Options

A. 607.036
B. 607.039
C. 637.036
D. 707.036

Answer

To convert the expression \(600 + 7 + \frac{3}{100} + \frac{6}{1000}\) into a decimal number, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the whole numbers and fractions**:
- The whole numbers are \(600\) and \(7\).
- The fractions are \(\frac{3}{100}\) and \(\frac{6}{1000}\).

2. **Convert the fractions to decimal form**:
- \(\frac{3}{100} = 0.03\) (since 3 is in the hundredths place).
- \(\frac{6}{1000} = 0.006\) (since 6 is in the thousandths place).

3. **Combine the whole numbers**:
- Add the whole numbers: \(600 + 7 = 607\).

4. **Add the decimal values**:
- Now, we add the decimal values to the sum of the whole numbers:
\[ 607 + 0.03 + 0.006 \]

5. **Align the decimal points for addition**:
- Write it out:
\[ \begin{array}{r} 607.000 \\ + 0.030 \\ + 0.006 \\ \hline \end{array} \]

6. **Perform the addition**:
- Start from the rightmost column:
- \(0 + 0 + 6 = 6\) (thousandths place)
- \(0 + 3 + 0 = 3\) (hundredths place)
- \(7 + 0 + 0 = 7\) (units place)
- \(6 + 0 + 0 = 6\) (hundreds place)
- So, the total is \(607.036\).

### Final Answer:
The decimal representation of \(600 + 7 + \frac{3}{100} + \frac{6}{1000}\) is \(607.036\).

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