Final answer:
The correct option to multiply 0.035 by a power of 10 to get a number between 1 and 100 is C. 0.035 x 10³, resulting in the number 35.
Step-by-step explanation:
Multiplying a Decimal by Powers of 10
The task is to multiply the decimal 0.035 by a power of 10 to get a product that is greater than 1 but less than 100. Understanding how powers of 10 work is crucial here. Multiplying a number by 10 raises its value by one order of magnitude for each power. For example, multiplying by 10 moves the decimal one place to the right. When we multiply 0.035 by 10, we get 0.35. Multiplying by 10² or 100 moves the decimal two places, resulting in 3.5. Finally, multiplying by 10³ or 1000 moves the decimal three places, resulting in 35.
To achieve our goal, we should pick a power of 10 that moves the decimal point enough places to the right without exceeding the limit of 100. Therefore, the correct answer is C. 0.035 x 10³, as it results in a number that is greater than 1 and less than 100.