Tag Archives: multiplication

Four Numbers

The numbers , and are such that the sum of any one of them and the product of the other three is equal to . If , and , find . Source: NCTM Mathematic Teacher, January 2006 Solution There are … Continue reading

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Multiple of 72

The seven-digit integer is a multiple of (where are digits). Determine all possible ordered pairs . Source: NCTM Mathematics Teacher, December 2005 SOLUTION Since and , we multiply by , etc. and by , etc. to find the possible digits … Continue reading

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Positive Base b

In what positive base does the equation for multiplication of base hold? Source: NCTM Mathematics Teacher 2006 SOLUTION In base the multiplication means In positive base the multiplication means Simplify or Positive base Verification Answer:

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Integer Q

Find the greatest integer such that and the last three digits of  (ones, tens, and hundreds) are the same as integer itself. Source: mathcontest.olemiss.edu 4/29/2013 SOLUTION Let be the three digits of where is the hundreds digit, the tens digit, and … Continue reading

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Ten Number Set

You are given the set of 10 numbers Your task is to determine the two smallest (least) products that can be obtained using exactly five of the numbers in the set as factors? Source: mathcontest.olemiss.edu 2/4/2013 SOLUTION Negative products are … Continue reading

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Special Six-Digit

There exists a special six-digit number such that when this number is multiplied by four, its digits are reversed.  Determine this special six-digit number.  Note:  digits can be used more than once. Source: mathcontest.olemiss.edu 1/25/2010 SOLUTION Let be the special … Continue reading

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