Solve for x²: Converting 100kg Expression to Tonnes

To convert the given expression from kilograms to tons, we need to follow these steps:

• Step 1: Express the weight in kilograms. The given expression is $x^2 \times 100 \text{ kg}$.
• Step 2: Convert kilograms to tons by dividing by 1000, because $1 \text{ ton} = 1000 \text{ kg}$.

Now, implementing these steps, we first have the expression in kilograms:
$x^2 \times 100 \text{ kg}$

To convert this to tons, divide by 1000:
$\frac{x^2 \times 100}{1000}$

Simplify the expression:
$= \frac{x^2}{10}$

This result shows that the expression $x^2 \times 100 \text{ kg}$ is equivalent to $\frac{x^2}{10} \text{ tons}$.

Therefore, the correct answer is:

$\frac{x^2}{10}$