Question

Which digit at the hundredths place of the decimal 57.9_3 gives a whole number (zero at all places to the right of the decimal point) when rounded to its nearest tenth?

P = 7, Q = 5, R = 4, and S = 2

Answer 1

For the digit P = 7:
The decimal = 57.973
The digit at the tenths place is 9.
The next digit to the right of 9 is 7, which is greater than 5.
So, we will round the decimal up.
Remove all the digits to the right of the tenths place with zero, and add 1 to the number at the tenths place.

Rounded decimal = 58.0 = 58
So, 57.973 rounded to the nearest tenth is 58, which is a whole number.
Hence, P = 7 is the correct answer.
For the digit Q = 5:
The decimal = 57.953
The digit at the tenths place is 9.
The next digit to the right of 9 is 5, which is equal to 5.
So, we will round it up.
Remove all the digits to the right of the tenths place with zero, and add 1 to the number at the tenths place.
Rounded decimal = 58.0 = 58
So, 57.953 rounded to the nearest tenth is 58, which is a whole number.
Hence, Q = 5 is the correct answer.
For the digit R = 4:
The decimal = 57.943
The digit at the tenths place is 9.
The next digit to the right of 9 is 4, which is less than 5.
So, we will round it down.
Remove all the digits to the right of the tenths place with zero.


Rounded decimal = 57.9
So, 57.943 rounded to the nearest tenth is 57.9.
Hence, R = 4 is not the correct answer.
For the digit S = 2:
The decimal = 57.923
The digit at the tenths place is 9.
The next digit to the right of 9 is 2, which is less than 5.
So, we will round it down.
Remove all the digits to the right of the tenths place with zero.

Rounded decimal = 57.9
So, 57.923 rounded to the nearest tenth is 57.9.
Hence, S = 2 is not the correct answer.