Evaluate : `(17.6xx0.51)/(0.02xx3)`

Answer

To evaluate the expression \((17.6 \times 0.51) / (0.02 \times 3)\), we can follow these steps:

### Step 1: Calculate the numerator
First, we need to calculate the product of \(17.6\) and \(0.51\).

\[ 17.6 \times 0.51 = 8.976 \]

### Step 2: Calculate the denominator
Next, we calculate the product of \(0.02\) and \(3\).

\[ 0.02 \times 3 = 0.06 \]

### Step 3: Divide the results
Now, we divide the result from Step 1 by the result from Step 2.

\[ \frac{8.976}{0.06} = 149.6 \]

### Step 4: Consider significant figures
Now, we need to consider significant figures. The number of significant figures in each of the original numbers is as follows:
- \(17.6\) has 3 significant figures.
- \(0.51\) has 2 significant figures.
- \(0.02\) has 1 significant figure.
- \(3\) has 1 significant figure.

The result of a multiplication or division should be reported with the least number of significant figures from the numbers used in the calculation. Here, the least number of significant figures is 1 (from \(0.02\) and \(3\)).

Thus, we round \(149.6\) to 1 significant figure, which gives us:

\[ \text{Final Answer} = 100 \]