A number is 11.7 when rounded to the nearest tenth
(a) What are all the possible numbers with two decimal places that
it could be?
(b) What is the number rounded to the nearest whole number?
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The number could have been, 11.71, 11.72, 11.73, 11.74 and when this number is rounded to its nearest whole number, it will be 12.
- Estimation is a sort of rounding off. In courses like math and physics as well as in daily life, estimation is applied. Many physical values, including money, travel distance, length measured, and others, are estimated by rounding the actual value to the closest whole number.
- When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off. Simply put, the number of figures that are known with some degree of certainty constitutes the number of important figures in a result. Consider the right-side numbers to be equivalent to zero if they are fewer than 5.
Here, according to the given information, we are given that,
The number is 11.7
The number could have been, 11.71, 11.72, 11.73, 11.74.
When this number is rounded to its nearest whole number, it will be 12.
Hence, the number could have been, 11.71, 11.72, 11.73, 11.74 and when this number is rounded to its nearest whole number, it will be 12.
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