The correctly reported difference of 19.3226 and 8.06 will have siginificant figures equal to

Options

A. Three
B. Four
C. Six
D. Five

Answer

To find the correctly reported difference of 19.3226 and 8.06 in terms of significant figures, follow these steps:

### Step 1: Perform the subtraction
Calculate the difference between the two numbers:
\[ 19.3226 - 8.06 \]

### Step 2: Calculate the result
Perform the subtraction:
\[ 19.3226 - 8.06 = 11.2626 \]

### Step 3: Determine the number of decimal places
Next, we need to look at the number of decimal places in the original numbers:
- 19.3226 has **4 decimal places**.
- 8.06 has **2 decimal places**.

### Step 4: Identify the minimum decimal places
The result of a subtraction should be reported to the least number of decimal places from the numbers involved in the operation. Here, the minimum is **2 decimal places** (from 8.06).

### Step 5: Round the result
Now, round the result (11.2626) to 2 decimal places:
\[ 11.2626 \text{ rounded to 2 decimal places is } 11.26 \]

### Step 6: Count the significant figures
Finally, count the significant figures in the rounded result (11.26):
- The number 11.26 has **4 significant figures**.

### Final Answer
The correctly reported difference of 19.3226 and 8.06 will have significant figures equal to **4**.

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