Tool to solve fill the blanks operations. A fill the blank calculation is a mathematical exercise consisting in finding missing elements (numbers or operations) so that the calculation is correct.

Fill The Blanks Equation Solver - dCode

Tag(s) : Mathematics, Number Game, Solver

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Tool to solve fill the blanks operations. A fill the blank calculation is a mathematical exercise consisting in finding missing elements (numbers or operations) so that the calculation is correct.

A fille the blank puzzle is a mathematical exercise similar to equations solving. It is necessary to find the missing elements (the blanks) in the proposed calculation so that it becomes correct.

**Fill in the blanks with missing digits**

Example: 78? + 4? 6 + 123 =? 321 has for solution 782 + 416 + 123 = 1321

Sometimes there is more than one solution.

Example: 12 + 3? = 5? has to 2 solutions: 12 + 38 = 50 and 12 + 39 = 51

Be sure to indicate a question mark for each digit

Example: 12 + ? = 34 has no solution but 12 + ?? = 34 has one 12 + 22 = 34

**Fill in the blanks with missing operators**

The principle is the same, except that the question marks must be replaced by one of the 4 mathematical operators (+, -, *, /)

Example: 1 ? 2 ? 3 = 0 has several solutions including 1 + 2 - 3 = 0

Manual resolution involves identifying the most likely replacement elements. A first approach is to list all the possibilities of each blank, then if the value can not be determined, make attempts. Here are some techniques:

**Fill in the blanks with missing digits**

Look at the unit numbers, how to add / subtract / multiply them and list the possibilities.

Identify remarkable values: a multiplication by 2 gives an even number, a multiplication by 5 gives a number ending by 0 or 5, and so on.

Identify impossible values: divisions by 0 or non-integers, and so on.

**Fill in the blanks with missing operators**

Filter operations: division is rare, multiplication introduces large numbers, etc.

Look at the numbers of the units, how to add / subtract / multiply them and list the possibilities.

dCode uses computer techniques that allow you to quickly attempt all combinations.

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Source : http://www.dcode.fr/fill-the-blanks-solver

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