Question

Alexander is explaining to his younger brother the relationships among place values in this number: 222.22 Fill in the appropriate value for each of Alexander’s statements and explain your answer. (a) “The 2 in the hundredths place is times the value of the 2 in the tenths place.

Answer 1

Explanation:

Starting from the rightmost digit, 2, which is the hundredths place, the next digit to the left, which is also 2, is the tenths place. This result, 0.2, is ten times greater than 0.02.

The same pattern applies to the remaining digits. The ones place is 2, and this is ten times the 2 in the tenths place. The tens place is 2, which is ten times the two in the ones place.

Finally, the initial 2 represents ten times the 2 in the tens place.

Next time, please share ALL of the possible answer choices. Thank you.

Answer 2

(a) 1/10

Explanation:

The hundredths place is one place to the right of the tenths place. So, the value of the digit there is 1/10 the value of the same digit in the tenths place.

____

Digit value decreases by a factor of 10 for each place moved to the right.

Digit value increases by a factor of 10 for each place moved to the left.

____

Comment on place value number systems

In general, the digits increase in value by a factor of the number base as you move to the left. In a base-8 number system, for example, the digits increase or decrease in value by a factor of 8 as you move to the left or right. The purpose of the decimal point (or equivalent) is to identify the location of the units digit.