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

Answer

To solve the problem of finding the sum of the numbers 436.32, 227.2, and 0.301 in appropriate significant figures, we will follow these steps:

### Step 1: Identify the significant figures of each number
- **436.32**: This number has 5 significant figures (all digits are non-zero).
- **227.2**: This number has 4 significant figures (all digits are non-zero).
- **0.301**: This number has 3 significant figures (the leading zero is not significant).

### Step 2: Determine the least number of significant figures
The least number of significant figures among the three numbers is 3 (from 0.301).

### Step 3: Perform the addition
Now, we will add the numbers together:
\[ 436.32 + 227.2 + 0.301 \]

Calculating this step-by-step:
1. First, add 436.32 and 227.2:
\[ 436.32 + 227.2 = 663.52 \]
2. Next, add the result to 0.301:
\[ 663.52 + 0.301 = 663.821 \]

### Step 4: Round the result to the correct number of significant figures
Since we determined that the result must be expressed with 3 significant figures, we will round 663.821 to 3 significant figures:
- The first three significant figures are 663.
- The next digit (8) is greater than 5, which means we round up the last significant figure (3) by 1.

Thus, rounding 663.821 gives us:
\[ 664 \]

### Final Answer
The sum of the numbers 436.32, 227.2, and 0.301 in appropriate significant figures is **664**.

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