When rounding a decimal number to the nearest whole number, we look at the digit immediately to the right of the decimal point. In this case, 11.4 has a digit of 4 in the tenths place. Since 4 is less than 5, we round down. Therefore, 11.4 rounded to the nearest whole number is 11.
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The two perfect squares nearest to 114 are 100 (102) and 121 (112). Consequenly, the two whole numbers (integers) closest to √114 are 10 and 11. Note that √114 ≈ 10.677 (3dp)
Yes, 114/6 is divisible. It does not come out as a decimal though, it comes out as a whole number; 19.