The sum of the numbers 436.32, 227.2 and 0.301 in appropriate significant figures is

Options

A. 663.821
B. 664
C. 663.8
D. 663.82

Explanation

To find the sum of the numbers 436.32, 227.2, and 0.301 while considering significant figures, we can follow these steps:

### Step 1: Write down the numbers
We have three numbers:
- 436.32
- 227.2
- 0.301

### Step 2: Align the numbers for addition
Align the numbers by their decimal points:
```
436.32
+ 227.2
+ 0.301
```

### Step 3: Perform the addition
Now, we add the numbers together:
```
436.320
+ 227.200
+ 0.301
-----------
663.821
```

### Step 4: Determine the number of decimal places
Next, we need to determine how many decimal places we should keep in our final answer based on the original numbers:
- 436.32 has **2** decimal places.
- 227.2 has **1** decimal place.
- 0.301 has **3** decimal places.

The rule for addition states that the result should be rounded to the least number of decimal places in any of the numbers being added. Here, the minimum number of decimal places is **1** (from 227.2).

### Step 5: Round the result
The sum we calculated is 663.821. Since we need to round this to **1 decimal place**, we look at the second decimal place (which is 2):
- Since 2 is less than 5, we round down.

Thus, rounding 663.821 to 1 decimal place gives us **663.8**.

### Final Answer
The sum of the numbers 436.32, 227.2, and 0.301 in appropriate significant figures is **663.8**.

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