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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.

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Presentation on theme: "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."— Presentation transcript:

1 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

2 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

3 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

4 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

5 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: D  D: Since 1 is in 1’s digit, and A=1,  D = 9

6 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: D  D: A = 1  D = 9

7 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: D  D: A = 1  D = 9

8 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: D  D: A = 1, and D = 9 Sum of the digits: 9+C+B+1 is divisible by 9

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}

10 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

11 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

12 Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A  B  C  D  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

13 Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A  B  C  D  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

14 Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A  B  C  D  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

15 Determine the numbers A,B,C,D that has specific multiplication property as shown below, where A  B  C  D  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

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

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


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