Final answer:
Each number needs to change by 10 for a ten and by 100 for one hundred. This is understood by recognizing the place value system of numbers, where each move to the left increases the place by a power of ten. The correct answer to the question is option B.
Step-by-step explanation:
To determine how much each number needs to change for a ten and for one hundred, we must understand the place value of a number. In the decimal system, each place represents a power of ten. When changing the value by a ten, you are essentially moving one place value to the left, which is a factor of 10. To change the value by one hundred, you move two place values to the left, which is a factor of 100.
The correct answer is: B. Each number needs to change by 10 for a ten, and by 100 for 1 hundred.
For instance, if we have the number 2.4 and we want to multiply it by 100, we move the decimal point two places to the right, obtaining 240. If we have a number like 965 and we want to express it as a power of ten, we convert it to 9.65 (by moving the decimal point two places to the left) and then multiply by 10 to the second power (10²).