# 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.

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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

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

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

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

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

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

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

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

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}

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

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

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

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

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

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

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

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

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