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

Respuesta :

Lanuel

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;

  • The place value of 7 is tens.
  • The place value of 9 is tenths.
  • The place value of 0 is hundredths.
  • The place value of 9 is thousandths.

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

  • 7.920 - 7.914 = 0.006
  • 7,910 - 7,914 = -0.004
  • Closer to 7.91

B. 7,905

  • 7,900 - 7,905 = -0.005
  • 7.910 - 7.905 = 0.005

C. 7.901

  • 7,900 - 7,901 = -0.001
  • 7.910 - 7.901 = 0.009

D. 7,915

  • 7.920 - 7.915 = 0.005
  • 7,910 - 7,915 = -0.005
  • Not closer, but shares the same hundredth number.

E. 7,909

  • 7,900 - 7,909 = -0.009
  • 7.910 - 7.909 = 0.001
  • Closer to 7.91

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