Question

Alicia thinks of a number. She divides her number by 0.01 and then multiplies the answer by 0.1. She then divides this answer by 0.01 and gets a final answer of 2340. What number does Alicia think of first?

Answer 1

To find the number Alicia first thought of, we need to reverse the operations she performed: divide by 0.01, multiply by 0.1, divide by 0.01. The number Alicia first thought of is 2.34.

Step-by-step explanation:

To find the number Alicia first thought of, we need to reverse the operations she performed. She started by dividing her number by 0.01 and then multiplying the answer by 0.1. Next, she divided this answer by 0.01 and got a final answer of 2340.

To undo these operations, we first need to divide 2340 by 0.1. This gives us 23400. Next, we need to multiply 23400 by 0.01, which gives us 234. Finally, we need to multiply 234 by 0.01 to find the number Alicia first thought of. This gives us 2.34.

Therefore, the number Alicia first thought of is 2.34.