In the number 135.792, what value is represented by the 9?
a. 90
b. nine tenths
c. nine one-hundredths
d. nine one-thousandths
The correct answer and explanation is:
The correct answer is c. nine one-hundredths.
In the number 135.792, each digit represents a specific place value. The number is divided into two parts: the whole number part (135) and the decimal part (792). The decimal part is further divided into tenths, hundredths, thousandths, and so on.
To break it down:
- The 7 in the decimal place represents seven tenths (0.7).
- The 9 is in the hundredths place, which means it represents nine one-hundredths (0.09).
- The 2 is in the thousandths place, representing two one-thousandths (0.002).
The place value system helps us understand that digits to the right of the decimal point are divided into parts that are powers of 10. In this case, the 9 is in the second decimal position, which corresponds to the hundredths place. Therefore, it represents nine one-hundredths or 0.09.
In summary, the value represented by the 9 in 135.792 is nine one-hundredths, which is equivalent to 0.09. This place value system ensures that every digit in a number has a specific value based on its position relative to the decimal point. The concept of hundredths comes into play whenever the digits are in the second decimal place, as is the case here with the 9.