Multiplying Differences

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make a true statement.

Hint

How can thinking about the two numbers being multiplied together help you figure out the product?

Number of Unique Solutions: 58
1: 3 x (7 – 2) = 15
2: 3 x (8 – 4) = 12
3: 3 x (9 – 1) = 24
4: 3 x (9 – 4) = 15
5: 3 x (9 – 5) = 12
6: 4 x (6 – 3) = 12
7: 4 x (7 – 3) = 16
8: 4 x (8 – 5) = 12
9: 4 x (9 – 1) = 32
10: 4 x (9 – 5) = 16
11: 4 x (9 – 6) = 12
12: 6 x (5 – 1) = 24
13: 6 x (5 – 2) = 18
14: 6 x (5 – 3) = 12
15: 6 x (7 – 3) = 24
16: 6 x (7 – 4) = 18
17: 6 x (7 – 5) = 12
18: 6 x (8 – 1) = 42
19: 6 x (9 – 1) = 48
20: 6 x (9 – 5) = 24
21: 6 x (9 – 7) = 12
22: 7 x (5 – 1) = 28
23: 7 x (5 – 3) = 14
24: 7 x (6 – 1) = 35
25: 7 x (6 – 3) = 21
26: 7 x (8 – 1) = 49
27: 7 x (8 – 5) = 21
28: 7 x (8 – 6) = 14
29: 7 x (9 – 1) = 56
30: 7 x (9 – 3) = 42
31: 7 x (9 – 4) = 35
32: 7 x (9 – 5) = 28
33: 7 x (9 – 6) = 21
34: 8 x (4 – 2) = 16
35: 8 x (5 – 1) = 32
36: 8 x (5 – 3) = 16
37: 8 x (6 – 3) = 24
38: 8 x (7 – 5) = 16
39: 8 x (9 – 1) = 64
40: 8 x (9 – 2) = 56
41: 8 x (9 – 5) = 32
42: 8 x (9 – 6) = 24
43: 8 x (9 – 7) = 16
44: 9 x (4 – 1) = 27
45: 9 x (4 – 2) = 18
46: 9 x (5 – 1) = 36
47: 9 x (5 – 3) = 18
48: 9 x (6 – 1) = 45
49: 9 x (6 – 3) = 27
50: 9 x (6 – 4) = 18
51: 9 x (7 – 1) = 54
52: 9 x (7 – 2) = 45
53: 9 x (7 – 5) = 18
54: 9 x (8 – 1) = 63
55: 9 x (8 – 2) = 54
56: 9 x (8 – 3) = 45
57: 9 x (8 – 4) = 36
58: 9 x (8 – 5) = 27

Source: Owen Kaplinsky

Product Close to 1,000

Directions: Using the digits 1 to 9 at most one time each, place a digit …