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A. Rounding and Truncation 1. When rounding a student’s grade to a whole number, you look at the thousandth’s place to see if that number is higher or lower than 5. Student 1 had 299 points out of a total of 334. Without rounding the quotient is .895, meaning Student 1 would be rounded up to .90 which would then be an A. 2. Truncation is a little different. When truncating, you just remove any numbers after the desired position. This means Student 1 would still be left with a B because you would just drop the 5 in the .895 leaving Student 1 with an 89 percent. 3. Taxpayers would prefer to have truncating instead of rounding. Any time the rounding concerns how much money is paid, the payer would much rather have percentage points truncated whereas the payee would prefer to see rounding take place. The more money that is made, the larger the difference in what is paid out or potentially paid out depending on whether percentages are rounded or truncated. a. An example to look out would be taxpayers who make $100,000 per year with an income tax rate of 27.8%. Each of these individuals would save $1,000 if truncating was being used. The government likes to have payers round. Each of the taxpayers making $100,000 would then be paying the previously mentioned extra $1,000. Say there are 100 taxpayers making that much money, then the government would be receiving $100,000 more just from rounding 27.8% up to 28%. What an enormous difference for the government! b. On the other hand, if the tax rate ended in a number smaller than 5, then the payout difference between rounding and truncating is no different. When paying a tax rate of 27.4%, you are then rounding down to 27% which is the same amount you would pay when truncated. B. Primes and Composites
1. With the numbers of both boys and girls being even and obviously at least

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