Which numbers round to 7.91 when rounded to the nearest hundredth? select all that apply.
a. 7.914
b. 7.905
c. 7.901
d. 7.915
e. 7.909

The numbers which round to 7.91 when rounded to the nearest hundredth are;

A. 7.914

B. 7.905

E. 7.909

Place value can be defined as a numerical value representing a digit with respect to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands, etc.

For example, in the number 7.909;

In this exercise, you're required to identify the numbers that round to 7.91 when rounded to the nearest hundredth.

Note: A number is rounded up to one (1) and added to the preceding digit when the succeeding digit is equal to or greater than five (5).

For 7.914;

The number succeeding the hundredth digit is 4 and it is less than  five (5), so rounding up we have;

7.914 = 7.91

For 7.905;

The number succeeding the hundredth digit is 5, so we would round up 0 to 1;

7.905 = 7.91

For 7.901;

The number succeeding the hundredth digit is 1 and it is less than  five (5), so rounding up we have;

7.901 = 7.90

For 7.915;

The number succeeding the hundredth digit is 5, so we would round up 1 to 2;

7.915 = 7.92

For 7.909;

The number succeeding the hundredth digit is 9, so we would round up 0 to 1;

7.909 = 7.91

In conclusion, numbers which round to 7.91 when rounded to the nearest hundredth are 7.914 , 7.905  and 7.909.

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The correct options are A, D and E.

To determine which numbers round to 7.91 when rounded to the nearest hundredth, the following calculations must be performed:

A. 7,914

B. 7,905

C. 7.901

D. 7,915

E. 7,909

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