Final answer:
To demonstrate the change in value of a digit when it moves one place to the right in decimal numbers, an example would involve dividing a number by 10, which shows each digit's value becomes one-tenth. This not only applies to whole numbers but also to decimals, demonstrating the consistent relationship between place value and digit value.
Step-by-step explanation:
To demonstrate that the value of a digit becomes one-tenth as much when it moves one place to the right in decimal numbers, I would show Clara an example involving division by 10. Imagine we have the number 4.5. If we divide it by 10 (Option B: Divide by 10), we get 0.45. The digit 4 was in the ones place and is now in the tenths place, showing its value is now one-tenth of what it was. Similarly, the digit 5 was in the tenths place and is now in the hundredths place, also showing its value is one-tenth of what it was.
The place value of each digit in a number is relative to the decimal point. When we divide a number by a power of 10, the decimal point moves to the left by the number of zeros in the power of ten. Conversely, when multiplying by powers of 10, we move the decimal to the right. For example, multiplying 2.4 by 100 moves the decimal two places to the right to get 240, using zeros as placeholders if necessary.
Thus, to illustrate the concept with decimal numbers, we would use division by 10 since this clearly shows how each digit's value is reduced to one-tenth when it moves one place to the right.