Open Middle®
Directions: Using the digits 1-9, at most once each, fill in the boxes to make a true statement.
Hint
Where do you find it most manageable to begin placing digits? Think about what digit will end up in the hundredths place of the difference based on the digit you use in the hundredths place of the subtrahend.
Answer
There are multiple solutions. Three solutions are 9.5-7.34=2.16; 8.7 – 3.29 = 5.41; 9.1-5.24=3.86
Source: Adina Rochkind
18,27, 36,45…
9.8-4.63=5.17
5.90 – 3.74 = 2.16
666 + 666 = you will be dead
9.80 – 5.67 = 4.13
9.0-2.50=6.50
8.9 – 7.56 = 1.34
9.4-6.83=2.57
7.8-3.29 = 4.51
9.92-4.81=5.11
9.8 – 5.63 + 4.17
8.7 – 5.29 = 3.41
9.8 – 5.67 = 4.13
9.1 – 5.24 = 3.86
5.9 – 4.27 = 1.63
8.7 – 3.21 = 5.49
8.7 – 3.21 = 5.49
8.9 – 7.56 = 1.34
9.8 – 5.67 = 4.13
5.9 – 1.23 = 4.67
9.7 – 6.12 = 3. 58
8.6 – 3.49 = 5.21
5.4 – 3.78 = 1.62
5.9 – 4.67 = 1.23
7.8 – 2.31 = 5.49
9.5 – 2.36 = 7.14
5.9 – 4.23 = 1.67
208 solutions:
4.5 – 1.63 = 2.87
4.5 – 1.67 = 2.83
4.5 – 1.83 = 2.67
4.5 – 1.87 = 2.63
4.5 – 2.63 = 1.87
4.5 – 2.67 = 1.83
4.5 – 2.83 = 1.67
4.5 – 2.87 = 1.63
5.4 – 1.62 = 3.78
5.4 – 1.68 = 3.72
5.4 – 1.72 = 3.68
5.4 – 1.78 = 3.62
5.4 – 3.62 = 1.78
5.4 – 3.68 = 1.72
5.4 – 3.72 = 1.68
5.4 – 3.78 = 1.62
5.9 – 1.23 = 4.67
5.9 – 1.27 = 4.63
5.9 – 1.63 = 4.27
5.9 – 1.67 = 4.23
5.9 – 2.14 = 3.76
5.9 – 2.16 = 3.74
5.9 – 2.74 = 3.16
5.9 – 2.76 = 3.14
5.9 – 3.14 = 2.76
5.9 – 3.16 = 2.74
5.9 – 3.74 = 2.16
5.9 – 3.76 = 2.14
5.9 – 4.23 = 1.67
5.9 – 4.27 = 1.63
5.9 – 4.63 = 1.27
5.9 – 4.67 = 1.23
6.3 – 1.52 = 4.78
6.3 – 1.58 = 4.72
6.3 – 1.72 = 4.58
6.3 – 1.78 = 4.52
6.3 – 4.52 = 1.78
6.3 – 4.58 = 1.72
6.3 – 4.72 = 1.58
6.3 – 4.78 = 1.52
6.4 – 2.51 = 3.89
6.4 – 2.59 = 3.81
6.4 – 2.81 = 3.59
6.4 – 2.89 = 3.51
6.4 – 3.51 = 2.89
6.4 – 3.59 = 2.81
6.4 – 3.81 = 2.59
6.4 – 3.89 = 2.51
7.2 – 1.34 = 5.86
7.2 – 1.36 = 5.84
7.2 – 1.84 = 5.36
7.2 – 1.86 = 5.34
7.2 – 5.34 = 1.86
7.2 – 5.36 = 1.84
7.2 – 5.84 = 1.36
7.2 – 5.86 = 1.34
7.5 – 2.61 = 4.89
7.5 – 2.69 = 4.81
7.5 – 2.81 = 4.69
7.5 – 2.89 = 4.61
7.5 – 4.61 = 2.89
7.5 – 4.69 = 2.81
7.5 – 4.81 = 2.69
7.5 – 4.89 = 2.61
7.8 – 2.31 = 5.49
7.8 – 2.39 = 5.41
7.8 – 2.41 = 5.39
7.8 – 2.49 = 5.31
7.8 – 3.21 = 4.59
7.8 – 3.29 = 4.51
7.8 – 3.51 = 4.29
7.8 – 3.59 = 4.21
7.8 – 4.21 = 3.59
7.8 – 4.29 = 3.51
7.8 – 4.51 = 3.29
7.8 – 4.59 = 3.21
7.8 – 5.31 = 2.49
7.8 – 5.39 = 2.41
7.8 – 5.41 = 2.39
7.8 – 5.49 = 2.31
7.9 – 1.32 = 6.58
7.9 – 1.38 = 6.52
7.9 – 1.52 = 6.38
7.9 – 1.58 = 6.32
7.9 – 6.32 = 1.58
7.9 – 6.38 = 1.52
7.9 – 6.52 = 1.38
7.9 – 6.58 = 1.32
8.1 – 2.34 = 5.76
8.1 – 2.36 = 5.74
8.1 – 2.43 = 5.67
8.1 – 2.47 = 5.63
8.1 – 2.63 = 5.47
8.1 – 2.67 = 5.43
8.1 – 2.74 = 5.36
8.1 – 2.76 = 5.34
8.1 – 5.34 = 2.76
8.1 – 5.36 = 2.74
8.1 – 5.43 = 2.67
8.1 – 5.47 = 2.63
8.1 – 5.63 = 2.47
8.1 – 5.67 = 2.43
8.1 – 5.74 = 2.36
8.1 – 5.76 = 2.34
8.2 – 3.51 = 4.69
8.2 – 3.59 = 4.61
8.2 – 3.61 = 4.59
8.2 – 3.69 = 4.51
8.2 – 4.51 = 3.69
8.2 – 4.59 = 3.61
8.2 – 4.61 = 3.59
8.2 – 4.69 = 3.51
8.4 – 2.61 = 5.79
8.4 – 2.69 = 5.71
8.4 – 2.71 = 5.69
8.4 – 2.79 = 5.61
8.4 – 5.61 = 2.79
8.4 – 5.69 = 2.71
8.4 – 5.71 = 2.69
8.4 – 5.79 = 2.61
8.7 – 3.21 = 5.49
8.7 – 3.29 = 5.41
8.7 – 3.41 = 5.29
8.7 – 3.49 = 5.21
8.7 – 5.21 = 3.49
8.7 – 5.29 = 3.41
8.7 – 5.41 = 3.29
8.7 – 5.49 = 3.21
8.9 – 1.34 = 7.56
8.9 – 1.36 = 7.54
8.9 – 1.54 = 7.36
8.9 – 1.56 = 7.34
8.9 – 3.14 = 5.76
8.9 – 3.16 = 5.74
8.9 – 3.74 = 5.16
8.9 – 3.76 = 5.14
8.9 – 5.14 = 3.76
8.9 – 5.16 = 3.74
8.9 – 5.74 = 3.16
8.9 – 5.76 = 3.14
8.9 – 7.34 = 1.56
8.9 – 7.36 = 1.54
8.9 – 7.54 = 1.36
8.9 – 7.56 = 1.34
9.1 – 3.24 = 5.86
9.1 – 3.26 = 5.84
9.1 – 3.42 = 5.68
9.1 – 3.48 = 5.62
9.1 – 3.62 = 5.48
9.1 – 3.68 = 5.42
9.1 – 3.84 = 5.26
9.1 – 3.86 = 5.24
9.1 – 5.24 = 3.86
9.1 – 5.26 = 3.84
9.1 – 5.42 = 3.68
9.1 – 5.48 = 3.62
9.1 – 5.62 = 3.48
9.1 – 5.68 = 3.42
9.1 – 5.84 = 3.26
9.1 – 5.86 = 3.24
9.2 – 1.34 = 7.86
9.2 – 1.36 = 7.84
9.2 – 1.84 = 7.36
9.2 – 1.86 = 7.34
9.2 – 7.34 = 1.86
9.2 – 7.36 = 1.84
9.2 – 7.84 = 1.36
9.2 – 7.86 = 1.34
9.4 – 2.53 = 6.87
9.4 – 2.57 = 6.83
9.4 – 2.83 = 6.57
9.4 – 2.87 = 6.53
9.4 – 3.62 = 5.78
9.4 – 3.68 = 5.72
9.4 – 3.72 = 5.68
9.4 – 3.78 = 5.62
9.4 – 5.62 = 3.78
9.4 – 5.68 = 3.72
9.4 – 5.72 = 3.68
9.4 – 5.78 = 3.62
9.4 – 6.53 = 2.87
9.4 – 6.57 = 2.83
9.4 – 6.83 = 2.57
9.4 – 6.87 = 2.53
9.5 – 2.14 = 7.36
9.5 – 2.16 = 7.34
9.5 – 2.34 = 7.16
9.5 – 2.36 = 7.14
9.5 – 7.14 = 2.36
9.5 – 7.16 = 2.34
9.5 – 7.34 = 2.16
9.5 – 7.36 = 2.14
9.7 – 3.12 = 6.58
9.7 – 3.18 = 6.52
9.7 – 3.52 = 6.18
9.7 – 3.58 = 6.12
9.7 – 6.12 = 3.58
9.7 – 6.18 = 3.52
9.7 – 6.52 = 3.18
9.7 – 6.58 = 3.12
9.8 – 4.13 = 5.67
9.8 – 4.17 = 5.63
9.8 – 4.63 = 5.17
9.8 – 4.67 = 5.13
9.8 – 5.13 = 4.67
9.8 – 5.17 = 4.63
9.8 – 5.63 = 4.17
9.8 – 5.67 = 4.13
Solution with lowest result: 5.9 – 4.67 = 1.23
Solution with greatest result: 9.2 – 1.34 = 7.86