You simple look at the decimal place you want to round to. In 1293.859649 we are rounding to two decimal places so we look at the second decimal place. Which is "5". Is the number on it's right, higher than a 4 or lower than 4? It's higher. So it rounds up.
1293.859649 to two decimal places is 129.86
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The number 3566.15 is already rounded to two decimal places.
0.06
The number 6.527314 to two decimal places is 6.53. To round a number to two decimal places, you look at the third decimal place. If it is 5 or greater, you round up the second decimal place. If it is less than 5, you leave the second decimal place as is. In this case, the third decimal place is 7, so we round up the second decimal place from 2 to 3.
7.82
If the decimal point on a number is less than 0.5 then round the number down, for example 12.49999 rounds to 12 with zero decimal places. If the decimal point on a number is equal to or greater than 0.5 then round the number up, for example 12.500000 rounds to 13 with zero decimal places.