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# A B C D  D D C B A

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.

## A B C D  D D C B A

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

4. D D C B A Determine the numbers A,B,C,D that has specific multiplication property as shown below, where ABCD. 1 1 B C D  D D C B 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. Note: DCB1 is odd: oddodd = odd D is an odd number. 1 B C D  D D C B 1 D: 1 3 5 7 9 DD: 1 9 25 49 81 Since1is in1’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. Note: DCB1 is odd: oddodd = odd D is an odd number. 1 B C D  D D C B 1 D: 13 5 79 DD: 19 25 4981 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: 13 5 79 DD: 19 25 4981 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: 13 5 79 DD: 19 25 4981 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. Sum of the digits: 9+C+B+1 is divisible by 9 1 B C 9  9 9 C B 1 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. 1B C 9 9 9C 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. 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

13. Determine the numbers A,B,C,D that has specific multiplication property as shown below, where ABCD. 8 8 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

14. Determine the numbers A,B,C,D that has specific multiplication property as shown below, where ABCD. 8 8 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

15. Determine the numbers A,B,C,D that has specific multiplication property as shown below, where ABCD. 8 8 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

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

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

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