Question 11

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

When a nonzero number is multiplied by 0.01, it is equivalent to dividing that number by 100. This relationship confirms that option A is indeed the correct answer.

A) 100

Option A is correct because multiplying any number by 0.01 can be mathematically expressed as dividing that number by 100. For example, if x is the nonzero number, then 0.01 * x = x / 100.

B) 10

Option B is incorrect because dividing by 10 would result in a different value than multiplying by 0.01. Specifically, multiplying by 0.01 reduces the number much more than dividing by 10.

C) 01-Oct

Option C is incorrect as it does not represent a valid mathematical operation or value in the context of division. It is neither a number nor a division factor relevant to the question.

D) 1/100

Option D is also incorrect because dividing by 1/100 is equivalent to multiplying by 100, which is the opposite of what happens when multiplying by 0.01.

Conclusion

Option A stands out as the only correct choice, as it accurately describes the mathematical relationship between multiplying by 0.01 and dividing by 100. All other options either misinterpret this relationship or present invalid operations, emphasizing the importance of understanding basic multiplication and division principles.