In the number 135.792, what value is represented by the 9?
4.90
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, the 9 is in the hundredths place. To break this down:
The digits to the left of the decimal point represent whole numbers. In 135.792, 135 represents the whole number part.
The decimal point separates the whole number from the fractional part. The fractional part is 792 in this case.
Each place to the right of the decimal point has a specific value:
- The first place to the right of the decimal is the tenths place (1st place).
- The second place is the hundredths place (2nd place).
- The third place is the thousandths place (3rd place).
The number 135.792 can be written as:
- 1 in the tenths place (which represents 0.1),
- 9 in the hundredths place (which represents 0.09),
- 2 in the thousandths place (which represents 0.002).
Thus, the digit 9 represents nine one-hundredths, which is mathematically written as 0.09.
To summarize:
- The decimal system operates in powers of ten.
- The first place after the decimal point is the tenths, the second is the hundredths, and the third is the thousandths.
- The value of 9 in 135.792 is in the hundredths place, meaning it represents nine one-hundredths (0.09).
Therefore, the correct option is c. nine one-hundredths.