Name Tryn
Benchmark III, Grade Level 6, Strand - Calculations and Estimation
Teacher Mrs. Huffman, Date Jan. 12, 1999

Problem: Which of the pairs of integers that add to 60 has the greatest product?

Tryn's response:
What I need to do to solve this problem: First I need to find all the numbers that add up to 60 (only two numbers). Then times them and see which product is the biggest.

How I will solve this problem:

1 + 59 = 60 2 + 58 = 60 3 + 57 = 60 4 + 56 = 60 5 + 55 = 60 6 + 54 = 60 7 + 53 = 60 8 + 52 = 60 9 + 51 = 60 10 + 50 = 60 11 + 49 = 60 12 + 48 = 60 13 + 47 = 60 14 + 46 = 60 15 + 45 = 60

16 + 44 = 60 17 + 43 = 60 18 + 42 = 60 19 + 41 = 60 20 + 40 = 60 21 + 39 = 60 22 + 38 = 60 23 + 37 = 60 24 + 36 = 60 25 + 35 = 60 26 + 34 = 60 27 + 33 = 60 28 + 32 = 60 29 + 31 = 60 30 + 30 = 60

59 x 1 = 59 58 x 2 = 116 57 x 3 = 171 56 x 4 = 224 55 x 5 = 275 54 x 6 = 324 53 x 7 = 371 52 x 8 = 416 51 x 9 = 459 50 x 10 = 500 49 x 11 = 539 48 x 12 = 576 47 x 13 = 611 46 x 14 = 644 45 x 15 = 675

44 x 16 = 704 43 x 17 = 731 42 x 18 = 756 41 x 19 = 779 40 x 20 = 800 39 x 21 = 819 38 x 22 = 836 37 x 23 = 851 36 x 24 = 864 35 x 25 = 875 34 x 26 = 884 33 x 27 = 891 32 x 28 = 896 31 x 29 = 899 30 x 30 = 900

Answer: 30 x 30 = 900.

Check: I know this is the answer because if you take 900 and minus 899, it = 1, then 899 minus 896 = 3 and so on. It is the same thing if you do it with the first numbers. What I'm trying to tell you is when you subtract like that the answer is odd numbers. So my answer has to be correct because if you count by odd numbers it comes out to be 900.

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