Less digits to work with. As an example, to multiply 4000 x 30,000, you only need to multiply 4 x 3, then attach all the zeros (7 zeros in this case) at the end. WITH A LITTLE BIT OF PRACTICE, YOU CAN DO THIS CALCULATION IN YOUR HEAD. However, if there are more significant digits (roughly speaking, non-zero digits), most people would need pencil and paper, or a calculator, to do such a calculation.
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For cowboys, "rounded up" means "corralled." For mathematicians, "rounded up" means "estimated to a higher number that is shorter or easier to work with."
Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. 73.67532 can be rounded to 74.
Integers are whole numbers without decimals or fractions which are useful because calculations are easier to work out.
Numbers
Because most people find that easier to work with than 3.141592653589792 is,and the answers they get are only 0.051% too small, so why not !