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Decimal Addition 2

Directions: Use the digits 1 to 9, at most one time each, to make two true statements.

Hint

Hint

How do you place digits so the sum is less than ten?

Answer

Answer

Number of Unique Solutions: 281

1: 0.3 + 4.8 = 5.1
2: 0.3 + 4.9 = 5.2
3: 0.3 + 5.9 = 6.2
4: 0.3 + 6.8 = 7.1
5: 0.4 + 1.9 = 2.3
6: 0.4 + 5.8 = 6.2
7: 0.4 + 8.7 = 9.1
8: 0.5 + 6.8 = 7.3
9: 0.5 + 6.9 = 7.4
10: 0.5 + 8.6 = 9.1
11: 0.6 + 1.8 = 2.4
12: 0.6 + 2.8 = 3.4
13: 0.6 + 2.9 = 3.5
14: 0.6 + 3.5 = 4.1
15: 0.6 + 3.9 = 4.5
16: 0.6 + 4.7 = 5.3
17: 0.6 + 7.5 = 8.1
18: 0.6 + 7.9 = 8.5
19: 0.7 + 2.8 = 3.5
20: 0.7 + 3.5 = 4.2
21: 0.7 + 3.8 = 4.5
22: 0.7 + 8.5 = 9.2
23: 0.8 + 1.7 = 2.5
24: 0.8 + 1.9 = 2.7
25: 0.8 + 2.7 = 3.5
26: 0.8 + 2.9 = 3.7
27: 0.8 + 4.9 = 5.7
28: 0.8 + 5.4 = 6.2
29: 0.8 + 6.4 = 7.2
30: 0.9 + 1.4 = 2.3
31: 0.9 + 1.5 = 2.4
32: 0.9 + 1.6 = 2.5
33: 0.9 + 1.8 = 2.7
34: 0.9 + 2.5 = 3.4
35: 0.9 + 2.6 = 3.5
36: 0.9 + 2.7 = 3.6
37: 0.9 + 3.8 = 4.7
38: 0.9 + 4.3 = 5.2
39: 0.9 + 5.3 = 6.2
40: 0.9 + 5.8 = 6.7
41: 0.9 + 6.5 = 7.4
42: 0.9 + 7.3 = 8.2
43: 0.9 + 7.4 = 8.3
44: 0.9 + 7.5 = 8.4
45: 1.2 + 3.5 = 4.7
46: 1.2 + 3.7 = 4.9
47: 1.2 + 3.8 = 5.0
48: 1.2 + 5.8 = 7.0
49: 1.2 + 7.8 = 9.0
50: 1.2 + 8.3 = 9.5
51: 1.2 + 8.5 = 9.7
52: 1.3 + 4.7 = 6.0
53: 1.3 + 5.4 = 6.7
54: 1.3 + 6.5 = 7.8
55: 1.3 + 6.7 = 8.0
56: 1.3 + 7.6 = 8.9
57: 1.4 + 3.6 = 5.0
58: 1.4 + 5.6 = 7.0
59: 1.4 + 6.5 = 7.9
60: 1.4 + 6.9 = 8.3
61: 1.4 + 7.6 = 9.0
62: 1.5 + 0.8 = 2.3
63: 1.5 + 2.4 = 3.9
64: 1.5 + 2.8 = 4.3
65: 1.5 + 4.7 = 6.2
66: 1.5 + 6.3 = 7.8
67: 1.5 + 6.7 = 8.2
68: 1.5 + 6.9 = 8.4
69: 1.5 + 7.8 = 9.3
70: 1.6 + 0.7 = 2.3
71: 1.6 + 3.4 = 5.0
72: 1.6 + 7.3 = 8.9
73: 1.6 + 7.8 = 9.4
74: 1.7 + 0.6 = 2.3
75: 1.7 + 0.9 = 2.6
76: 1.7 + 2.3 = 4.0
77: 1.7 + 4.3 = 6.0
78: 1.7 + 6.5 = 8.2
79: 1.8 + 0.5 = 2.3
80: 1.8 + 0.7 = 2.5
81: 1.8 + 2.5 = 4.3
82: 1.8 + 2.9 = 4.7
83: 1.8 + 3.4 = 5.2
84: 1.8 + 3.9 = 5.7
85: 1.8 + 4.2 = 6.0
86: 1.8 + 4.9 = 6.7
87: 1.8 + 5.2 = 7.0
88: 1.8 + 5.4 = 7.2
89: 1.8 + 7.6 = 9.4
90: 1.9 + 0.5 = 2.4
91: 1.9 + 0.6 = 2.5
92: 1.9 + 2.6 = 4.5
93: 1.9 + 2.7 = 4.6
94: 1.9 + 6.4 = 8.3
95: 1.9 + 6.5 = 8.4
96: 2.1 + 3.6 = 5.7
97: 2.1 + 3.8 = 5.9
98: 2.1 + 4.8 = 6.9
99: 2.1 + 4.9 = 7.0
100: 2.1 + 5.3 = 7.4
101: 2.1 + 5.8 = 7.9
102: 2.1 + 5.9 = 8.0
103: 2.1 + 6.3 = 8.4
104: 2.1 + 6.4 = 8.5
105: 2.3 + 4.5 = 6.8
106: 2.3 + 6.4 = 8.7
107: 2.3 + 6.7 = 9.0
108: 2.3 + 6.8 = 9.1
109: 2.3 + 7.5 = 9.8
110: 2.4 + 5.7 = 8.1
111: 2.4 + 5.9 = 8.3
112: 2.4 + 6.1 = 8.5
113: 2.4 + 6.5 = 8.9
114: 2.5 + 0.6 = 3.1
115: 2.5 + 1.4 = 3.9
116: 2.5 + 4.6 = 7.1
117: 2.5 + 4.8 = 7.3
118: 2.5 + 6.4 = 8.9
119: 2.5 + 6.8 = 9.3
120: 2.5 + 7.3 = 9.8
121: 2.6 + 0.5 = 3.1
122: 2.6 + 1.7 = 4.3
123: 2.6 + 3.1 = 5.7
124: 2.6 + 4.5 = 7.1
125: 2.6 + 4.9 = 7.5
126: 2.6 + 5.4 = 8.0
127: 2.6 + 5.7 = 8.3
128: 2.7 + 0.4 = 3.1
129: 2.7 + 1.3 = 4.0
130: 2.7 + 1.8 = 4.5
131: 2.7 + 5.6 = 8.3
132: 2.7 + 6.3 = 9.0
133: 2.8 + 1.7 = 4.5
134: 2.8 + 3.1 = 5.9
135: 2.8 + 6.5 = 9.3
136: 2.9 + 0.5 = 3.4
137: 2.9 + 1.6 = 4.5
138: 2.9 + 1.7 = 4.6
139: 2.9 + 4.6 = 7.5
140: 2.9 + 5.1 = 8.0
141: 2.9 + 5.4 = 8.3
142: 3.1 + 2.9 = 6.0
143: 3.1 + 4.5 = 7.6
144: 3.1 + 4.9 = 8.0
145: 3.2 + 1.5 = 4.7
146: 3.2 + 1.7 = 4.9
147: 3.2 + 1.8 = 5.0
148: 3.2 + 4.6 = 7.8
149: 3.2 + 6.5 = 9.7
150: 3.4 + 2.7 = 6.1
151: 3.4 + 5.6 = 9.0
152: 3.4 + 5.7 = 9.1
153: 3.4 + 5.8 = 9.2
154: 3.4 + 6.1 = 9.5
155: 3.5 + 2.9 = 6.4
156: 3.6 + 0.5 = 4.1
157: 3.6 + 0.9 = 4.5
158: 3.6 + 1.2 = 4.8
159: 3.6 + 1.8 = 5.4
160: 3.6 + 5.1 = 8.7
161: 3.7 + 0.5 = 4.2
162: 3.7 + 0.8 = 4.5
163: 3.7 + 1.9 = 5.6
164: 3.7 + 2.4 = 6.1
165: 3.7 + 2.8 = 6.5
166: 3.7 + 4.5 = 8.2
167: 3.7 + 5.2 = 8.9
168: 3.8 + 1.6 = 5.4
169: 3.8 + 2.7 = 6.5
170: 3.8 + 5.4 = 9.2
171: 3.9 + 0.2 = 4.1
172: 3.9 + 0.7 = 4.6
173: 3.9 + 0.8 = 4.7
174: 3.9 + 1.7 = 5.6
175: 3.9 + 2.1 = 6.0
176: 3.9 + 2.5 = 6.4
177: 3.9 + 4.6 = 8.5
178: 4.1 + 2.7 = 6.8
179: 4.1 + 2.9 = 7.0
180: 4.1 + 3.5 = 7.6
181: 4.1 + 3.9 = 8.0
182: 4.2 + 1.7 = 5.9
183: 4.2 + 3.9 = 8.1
184: 4.2 + 5.6 = 9.8
185: 4.3 + 0.8 = 5.1
186: 4.3 + 1.6 = 5.9
187: 4.3 + 2.5 = 6.8
188: 4.3 + 2.8 = 7.1
189: 4.5 + 1.7 = 6.2
190: 4.5 + 1.8 = 6.3
191: 4.5 + 2.8 = 7.3
192: 4.5 + 3.6 = 8.1
193: 4.6 + 0.7 = 5.3
194: 4.6 + 1.2 = 5.8
195: 4.6 + 3.5 = 8.1
196: 4.6 + 5.2 = 9.8
197: 4.7 + 1.2 = 5.9
198: 4.7 + 1.8 = 6.5
199: 4.7 + 3.5 = 8.2
200: 4.7 + 3.9 = 8.6
201: 4.7 + 5.1 = 9.8
202: 4.8 + 0.9 = 5.7
203: 4.8 + 1.2 = 6.0
204: 4.8 + 1.5 = 6.3
205: 4.8 + 1.7 = 6.5
206: 4.8 + 2.3 = 7.1
207: 4.8 + 3.1 = 7.9
208: 4.9 + 1.3 = 6.2
209: 4.9 + 3.6 = 8.5
210: 5.1 + 4.2 = 9.3
211: 5.1 + 4.6 = 9.7
212: 5.2 + 1.7 = 6.9
213: 5.2 + 3.4 = 8.6
214: 5.2 + 3.8 = 9.0
215: 5.2 + 4.1 = 9.3
216: 5.3 + 0.8 = 6.1
217: 5.3 + 2.6 = 7.9
218: 5.3 + 2.7 = 8.0
219: 5.4 + 1.6 = 7.0
220: 5.4 + 3.6 = 9.0
221: 5.6 + 2.4 = 8.0
222: 5.6 + 3.1 = 8.7
223: 5.6 + 4.1 = 9.7
224: 5.7 + 1.2 = 6.9
225: 5.7 + 2.3 = 8.0
226: 5.7 + 2.9 = 8.6
227: 5.7 + 3.2 = 8.9
228: 5.7 + 4.1 = 9.8
229: 5.8 + 0.3 = 6.1
230: 5.8 + 1.6 = 7.4
231: 5.8 + 3.2 = 9.0
232: 5.8 + 3.6 = 9.4
233: 5.9 + 0.8 = 6.7
234: 5.9 + 1.3 = 7.2
235: 6.1 + 3.7 = 9.8
236: 6.2 + 1.3 = 7.5
237: 6.2 + 3.5 = 9.7
238: 6.3 + 0.8 = 7.1
239: 6.3 + 0.9 = 7.2
240: 6.3 + 1.2 = 7.5
241: 6.3 + 1.7 = 8.0
242: 6.3 + 1.9 = 8.2
243: 6.3 + 2.4 = 8.7
244: 6.3 + 2.8 = 9.1
245: 6.4 + 1.5 = 7.9
246: 6.4 + 3.1 = 9.5
247: 6.5 + 0.8 = 7.3
248: 6.7 + 2.4 = 9.1
249: 6.7 + 2.8 = 9.5
250: 6.7 + 3.1 = 9.8
251: 6.8 + 0.4 = 7.2
252: 6.8 + 2.7 = 9.5
253: 6.9 + 0.3 = 7.2
254: 7.1 + 2.4 = 9.5
255: 7.1 + 2.5 = 9.6
256: 7.2 + 0.9 = 8.1
257: 7.2 + 1.3 = 8.5
258: 7.2 + 1.4 = 8.6
259: 7.2 + 1.8 = 9.0
260: 7.3 + 1.2 = 8.5
261: 7.3 + 2.1 = 9.4
262: 7.4 + 1.2 = 8.6
263: 7.4 + 1.5 = 8.9
264: 7.4 + 1.6 = 9.0
265: 7.4 + 2.1 = 9.5
266: 7.5 + 1.4 = 8.9
267: 7.5 + 1.8 = 9.3
268: 7.5 + 2.1 = 9.6
269: 7.6 + 0.5 = 8.1
270: 7.6 + 0.9 = 8.5
271: 7.8 + 1.4 = 9.2
272: 7.9 + 0.2 = 8.1
273: 7.9 + 0.4 = 8.3
274: 7.9 + 0.5 = 8.4
275: 8.2 + 1.3 = 9.5
276: 8.2 + 1.4 = 9.6
277: 8.2 + 1.5 = 9.7
278: 8.4 + 0.7 = 9.1
279: 8.4 + 1.2 = 9.6
280: 8.5 + 0.6 = 9.1
281: 8.7 + 0.5 = 9.2

Source: Owen Kaplinsky

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3 comments

  1. My fifth grade student was super proud she found 9 ways so far to complete this! She wanted me to post it here . Thanks!

  2. Vedaant 4th Grade

    I found out 20 ways to do this problem! Here are some ways:

    4.8+3.1=7.9

    3.2+4.7=7.9

    7.1+2.3=9.4

    1.5+2.4=3.9

    8.3+1.4=9.7

  3. I am in 5th grade and i found 3.4+5.2=8.6

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