0.4/0.04 =

Rationale

10

When dividing decimals, it's helpful to move the decimal points to make the divisor a whole number. In this case, multiplying both the numerator and denominator by 10 gives 4/0.4 = 10, simplifying the division process.

A (100) YOUR ANSWER

Answer A results from incorrectly moving the decimal point in the wrong direction or misunderstanding the concept of decimal division.

B (10) CORRECT

The correct answer. By shifting the decimal points in both numerator and denominator, 0.4/0.04 simplifies to 4/0.4 = 10, demonstrating the correct division of decimals.

C (0.1) YOUR ANSWER

Option C is the result of dividing the decimal numbers without adjusting the decimal points correctly, leading to an incorrect answer.

D (0.01) YOUR ANSWER

Choice D arises from a misunderstanding of decimal division principles, likely from mishandling the placement of decimal points during the calculation.

Conclusion

Understanding how to divide decimals involves shifting decimal points to convert the divisor into a whole number. In this case, dividing 0.4 by 0.04 simplifies to 4 divided by 0.4, which equals 10. Choices A, C, and D demonstrate common errors in decimal division that can be avoided by correctly adjusting the decimal points before calculation.

0.4/0.04 =

10

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