Question

Consider the relationship between the place values of the 3s in this number, 333.333. Which statements are true? Choose all answers that are correct.

A. The 3 in the ones place is 10 times the value of the 3 in the tenths place.
B. The 3 in the thousandths place is 110 times the value of the 3 in the hundredths place.
C. The 3 in the hundredths place is 110 times the value of the 3 in the tenths place.
D. The 3 in the thousands place is 10 times the value of the 3 in the hundredths place.

Answer 1

The true statements about the place values of the 3s in the number 333.333 are that the 3 in the ones place is 10 times the value of the 3 in the tenths place, and the 3s in the tenths, hundredths, and thousandths are each 10 times the value of the immediate right neighboring place value.

Step-by-step explanation:

When considering the place value of a number, it is important to understand how each digit relates to the decimal point. In the number 333.333:

• The 3 in the ones place is the digit immediately to the left of the decimal point, and thus has a value of 3.
• The 3 in the tenths place is the first digit to the right of the decimal point, with a value of 0.3.
• The 3 in the hundredths place is the second digit to the right of the decimal point, with a value of 0.03.
• The 3 in the thousandths place is the third digit to the right of the decimal point, with a value of 0.003.

Therefore, considering these points:

1. A. The 3 in the ones place is 10 times the value of the 3 in the tenths place. This is correct.
2. B. The statement about the thousandths place being 110 times the value of the hundredths place is incorrect. It should be 10 times the value.
3. C. The 3 in the hundredths place is 10 times the value of the 3 in the tenths place. The statement mistakenly uses 110, which is incorrect.
4. D. There is no 3 in the thousands place to consider in this number. This option appears to be misguided.