Number System — If 11 times a number equals 132, find the number. Provide the exact integer value.

Introduction / Context:
This is a straightforward linear equation in one variable. Interpreting the statement “11 times a number gives 132” translates directly into an equation that can be solved by division. Accuracy relies on correct parsing and clean arithmetic.

Given Data / Assumptions:

• Let the unknown be x (a real number).
• Equation: 11 * x = 132.
• We seek the exact value of x.

Concept / Approach:
To isolate x, divide both sides of the equation by 11. Division by a nonzero constant preserves equality. This is a prototypical example of solving linear equations with a single operation.

Step-by-Step Solution:
1) Start with 11 * x = 132.2) Divide both sides by 11: x = 132 / 11.3) Compute 132 / 11 = 12 (since 11 × 12 = 132).4) Therefore, the number is 12.

Verification / Alternative check:
Multiply the result by 11 to confirm: 12 × 11 = 132, matching the given statement exactly.

Why Other Options Are Wrong:
11 is too small (11 × 11 = 121); 13.2 would imply 11 × 13.2 = 145.2; “None of these” is unnecessary since a valid choice exists; 10.2 is far from satisfying the equation.

Common Pitfalls:
Misreading “11 times” as “11 plus”; arithmetic mistakes when dividing 132 by 11; forgetting to check by back-substitution.

Final Answer:
12