Multiplying a certain nonzero number by 0.01 gives the same result as dividing the number by

Rationale

Multiplying a certain nonzero number by 0.01 gives the same result as dividing the number by 100.

When you multiply a number by 0.01 and divide the same number by 100, the results will be the same. This is because 0.01 is the decimal equivalent of 1/100, which means that multiplying by 0.01 is the same as dividing by 100.

A (100) CORRECT

Dividing a number by 100 is indeed equivalent to multiplying it by 0.01. As stated previously, 0.01 is the decimal representation of the fraction 1/100. Hence, these two operations are mathematically the same and will yield the same result.

B (10) YOUR ANSWER

Dividing a number by 10 is not equivalent to multiplying it by 0.01. It would be equivalent to multiplying the number by 0.1, not 0.01. Therefore, this option is incorrect.

C (01-Oct) YOUR ANSWER

Dividing a number by 1/10 is equivalent to multiplying the number by 10, not 0.01. This is because dividing by a fraction is the same as multiplying by its reciprocal. Hence, this choice is not correct.

D (1/100) YOUR ANSWER

Dividing a number by 1/100 is equivalent to multiplying the number by 100, not 0.01. Similar to option C, dividing by a fraction is the same as multiplying by its reciprocal. Therefore, this choice is incorrect.

Conclusion

The mathematical operations of multiplying by a certain decimal number and dividing by its reciprocal fraction yield the same result. In this case, multiplying by 0.01 is the same as dividing by 100. All other choices—10, 1/10, and 1/100—do not represent the equivalent mathematical operation and hence are incorrect.

Multiplying a certain nonzero number by 0.01 gives the same result as dividing the number by

Multiplying a certain nonzero number by 0.01 gives the same result as dividing the number by 100.

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