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, the 9 is located in the hundredths place. The decimal point separates the whole number part (135) from the fractional part (792). To understand the value of the 9, it’s important to recognize the place values that follow the decimal point.
The first digit after the decimal point represents tenths (0.1), the second represents hundredths (0.01), and the third represents thousandths (0.001). Since the 9 is in the second position after the decimal point, it is in the hundredths place, which means it represents 9/100 or nine one-hundredths.
To visualize this, consider that each digit in the decimal part has a place value that decreases by a factor of ten as you move from left to right. The digit in the tenths place represents one-tenth, the digit in the hundredths place represents one-hundredth, and so on. Therefore, the 9 in the hundredths place is 9 times one-hundredth, or 0.09.
To sum up, the number 135.792 can be broken down as:
- 100 in the hundreds place (1)
- 30 in the tens place (3)
- 5 in the ones place (5)
- 0 in the tenths place (7/10)
- 9 in the hundredths place (9/100)
- 2 in the thousandths place (2/1000)
So the value represented by the 9 is nine one-hundredths.