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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. A B C D D D C B A Primary Mathematics, US Edition, Intensive Practice 5A, p. 98

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. A B C D D D C B A Note that: D C B A D = A B C D

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. A B C D D D C B A D D C B A 1 -D 0 A = 1

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 B C D D D C B 1 D D C B A 1 -D 0 A = 1

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 B C D D D C B 1 Note: DCB1 is odd: odd odd = odd D is an odd number. D: 1 3 5 7 9 D D: 1 9 25 49 81 Since 1 is in 1’s digit, and A=1, D = 9

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 B C D D D C B 1 Note: DCB1 is odd: odd odd = odd D is an odd number. D: 1 3 5 7 9 D D: 1 9 25 49 81 A = 1 D = 9

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 B C 9 9 9 C B 1 D: 1 3 5 7 9 D D: 1 9 25 49 81 A = 1 D = 9

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 B C 9 9 9 C B 1 D: 1 3 5 7 9 D D: 1 9 25 49 81 A = 1, and D = 9 Sum of the digits: 9+C+B+1 is divisible by 9

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 B C 9 9 9 C B 1 Sum of the digits: 9+C+B+1 is divisible by 9 9+C+B+1 = {9,18,27,…} C+B = {8,17}

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 B C 9 9 9 C B 1 C+B = {8,17} B,C = 0,8 1, 7 2, 6 3, 5 8, 9

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 B C 9 9 9 C B 1 C+B = {8,17} B,C = 0,8 1, 7 2, 6 3, 5 8, 9 9 = 9 1, there is no carry. B = 0, C = 8

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 0 8 9 9 9 C B 1 C+B = {8,17} B,C = 0,8 1, 7 2, 6 3, 5 7, 8 When 9 1, there is no carry. B = 0, C = 8

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 0 8 9 9 9 C B 1 C+B = {8,17} B,C = 0,8 1, 7 2, 6 3, 5 7, 8 When 9 1, there is no carry. B = 0, C = 8 8

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 0 8 9 9 9 C 0 1 C+B = {8,17} B,C = 0,8 1, 7 2, 6 3, 5 7, 8 When 9 1, there is no carry. B = 0, C = 8 8

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 0 8 9 9 9 8 0 1 C+B = {8,17} B,C = 0,8 1, 7 2, 6 3, 5 7, 8 When 9 1, there is no carry. B = 0, C = 8 8

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Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A B C D. 1 0 8 9 9 9 8 0 1 When 9 1, there is no carry. B = 0, C = 8 A B C D D D C B A 8

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Solving the problem requires understanding of Multiplication Division Divisibility of numbers through inspection of the digits

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Rules of Divisibility 1 - always a factor. 2 - if the last digit is a 0, 2, 4, 6, or 8. 3 - if the sum of the digits is divisible by 3. 4 - if the last.

Rules of Divisibility 1 - always a factor. 2 - if the last digit is a 0, 2, 4, 6, or 8. 3 - if the sum of the digits is divisible by 3. 4 - if the last.

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