Respuesta :
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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