Expanded form of `136.085` is

Options

A. `10 0 + 30 + 6 + (8)/(10) + (5)/(100) + (5)/(1000)`
B. `136 + (8)/(100) + (5)/(1000)`
C. `100 + 30 + 6 + (8)/(100) + (5)/(1000)`
D. `130 + 6 + (10)/(8) + (1000)/(5)`

Answer

To find the expanded form of the number `136.085`, we can break it down into its place values. Here’s how we can do it step by step:

### Step 1: Identify the Whole Number Part
The whole number part of `136.085` is `136`. We can break this down into its place values:
- The digit `1` is in the hundreds place, which is `100`.
- The digit `3` is in the tens place, which is `30`.
- The digit `6` is in the units place, which is `6`.

So, we can express `136` as:
\[ 100 + 30 + 6 \]

### Step 2: Identify the Decimal Part
Now, we will look at the decimal part, which is `.085`. We can break this down into its place values as well:
- The digit `0` is in the tenths place, which contributes `0` (we do not need to include this).
- The digit `8` is in the hundredths place, which is `8/100`.
- The digit `5` is in the thousandths place, which is `5/1000`.

So, we can express `.085` as:
\[ \frac{8}{100} + \frac{5}{1000} \]

### Step 3: Combine Both Parts
Now, we combine the whole number part and the decimal part together:
\[ 100 + 30 + 6 + \frac{8}{100} + \frac{5}{1000} \]

### Final Answer
Thus, the expanded form of `136.085` is:
\[ 100 + 30 + 6 + \frac{8}{100} + \frac{5}{1000} \]