Question 16

0.0169

When calculating (0.13)^2, the correct result is 0.0169, which is derived from multiplying 0.13 by itself.

A) 1.69

This option is incorrect as it suggests a value significantly larger than the actual result of squaring 0.13. The squaring operation of a number less than 1 will always yield a result smaller than the original number, making this choice invalid.

B) 0.26

This answer is also incorrect. Although 0.26 is a potential result of an operation involving 0.13, it does not represent the square of 0.13. Squaring 0.13 results in a lesser value due to the properties of multiplication with fractions.

C) 0.169

While this option seems close, it is also incorrect. The value 0.169 is actually the result of squaring 0.13 in a different context, specifically when considering its decimal format, but it does not correspond to (0.13)^2. The accurate computation yields a smaller result.

D) 0.0169

This option is correct, as (0.13) multiplied by (0.13) equals 0.0169. This result adheres to the mathematical principles of squaring a decimal number.

Conclusion

The correct answer, 0.0169, accurately reflects the result of squaring 0.13. Other options fail because they either misinterpret the operation or provide results that exceed the expected outcome of squaring a decimal less than 1. Thus, D is definitively the only valid choice.