0.4 / 0.04 =
0.4 divided by 0.04 equals 10.
To solve this division problem, we can interpret the operation as finding out how many × 0.04 fits into 0.4. By moving the decimal point two places to the right for both the numerator and the denominator, we simplify it to 40 divided by 4, which equals 10.
Dividing 0.4 by 0.04 does not yield 100, as this would imply that 0.04 fits into 0.4 a total of 100 ×. However, when calculated correctly, 0.04 fits into 0.4 exactly 10 ×, not 100.
This choice accurately represents the result of the division. When 0.4 is divided by 0.04, it simplifies to 40 divided by 4, which equals 10. This confirms that 0.04 fits into 0.4 exactly 10 ×.
This value suggests that 0.04 would fit into 0.4 just a fraction of a time, which is incorrect. The calculation indicates that 0.04 fits into 0.4 ten ×, not one-tenth of that value.
This choice implies an even smaller fraction, indicating that 0.04 fits into 0.4 only a very small amount, which is also incorrect. The division clearly shows that 0.04 fits into 0.4 a total of 10 ×.
In summary, performing the division of 0.4 by 0.04 correctly results in 10, demonstrating how many × the smaller number fits into the larger one. The other choices misinterpret the operation, leading to incorrect conclusions about the relationship between the two numbers. Understanding decimal division is crucial for accurate mathematical reasoning.
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