Compensatory NumberDate: 01/29/2002 at 08:20:38 From: Kris Marshall Subject: Math term: compensatory number Is there a math definition for the term "Compensatory number"? In the English dictionary compensation can mean an equivalent or balancing number. I was asked this question by our Gifted Services Coordinator but I'm not sure of the context. She also wanted the definition of compatible number and I found several references in the archives. Thanks in advance. Date: 01/29/2002 at 09:57:56 From: Doctor Sarah Subject: Re: Math term: compensatory number Hi Kris - thanks for writing to Dr. Math. See: Mathematics Glossary, Ohio Draft Education Standards http://www.ohioctm.org/glos01.htm Compensatory numbers are used to adjust numbers in a computation after use of compatible numbers. Example 1: 25 / 6 =~ (equals approximately) 24 / 6 = 4 is an approximate answer using compatible numbers. The exact answer is given as 4 + 1/6, where 1/6 is the compensatory number. Example 2: 32 - 17 becomes 32 - 20 using compatible numbers. The exact answer is 15, so the compensatory number allowing someone to adjust the estimated difference is 3. Example 3: 23 + 18 =~ 23 + 20 = 43. Since two was added to increase 18 to 20 as compatible numbers, two will be subtracted from 43 to compensate for the change. Thus, two is the compensatory number. Example 4: 32 - 17 = 35 - 20. This is the equal adding method (three was added to both numbers in the subtraction problem), which is not the same thing as compensatory numbers. - Doctor Sarah, The Math Forum http://mathforum.org/dr.math/ Date: 01/29/2002 at 11:10:09 From: Kris Marshall Subject: Math term: compensatory number Thank you very much for your repid and helpful reply! |
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