(0.13)^2 =

Rationale

(0.13)^2 = 0.0169.

Squaring 0.13 involves multiplying it by itself, resulting in 0.0169, which is the correct calculation of the expression.

A (1.69) YOUR ANSWER

This choice represents the square of 1.3, not 0.13. To obtain 1.69, one would need to calculate (1.3)^2, which results in 1.69, highlighting a misunderstanding of the decimal placement in the original number.

B (0.26) YOUR ANSWER

This option suggests a linear multiplication instead of squaring the number. Specifically, multiplying 0.13 by 2 yields 0.26, which does not reflect the squaring operation required in the question.

C (0.169) YOUR ANSWER

This choice appears close to the correct answer but represents the square of 0.13 incorrectly. The result of (0.13)^2 is actually 0.0169, meaning this option is a miscalculation, likely due to a misplaced decimal point.

D (0.0169) CORRECT

This is the correct answer as it accurately represents the result of squaring 0.13: (0.13) x (0.13) = 0.0169. The calculation confirms that the product is a smaller value, consistent with squaring a number less than one.

Conclusion

The squaring of 0.13 results in 0.0169, clearly distinguishing it from the incorrect choices which arise from miscalculations or misunderstandings of the arithmetic operation. Choice D accurately reflects the mathematical operation performed, illustrating the importance of precision in calculations involving decimals.

(0.13)^2 =

(0.13)^2 = 0.0169.

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