Tool/Calculator to find missing number/fill the blanks puzzles/equations (addition, subtraction, multiplication, division)

Missing Numbers Calculator - dCode

Tag(s) : Number Games, Arithmetics

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A calculation with blanks (such as an addition, a subtraction, a multiplication, or a division) is a math exercise that involves finding the missing numbers and digits.

There is a variant where the operators (+ - * /) are missing.

Solving a calculation with operators and missing digits is similar to a cryptarithm and uses deduction and extraction of parts of the calculation.

__Example:__ Exercise: find `?` in the operation `??5 + 42? = 539 => 115 + 424 = 539`

__Example:__ `12 + 23 = ?` has no solution but `12 + 23 = ??` has for solution `12 + 23 = 35`

It is useful to calculate digits at extremities, or check individually calculations to the ten digits, or the hundreds digit etc.

dCode also has a cryptarithm solver (where blanks are letters), a mathematical equation solver or even a countdown game calculator tool.

dCode solver allow usual operators like additions `+`, subtractions `-`, multiplications `*` and divisions `/`. It also handles comparison operators superior and inferior `>` and `<` in addition to the equal sign `=`.

The blanks (unknown digits) have to be replaced by `?` (interrogation marks). There is no limit but above 7 or 8, the calculation will be very long.

__Example:__ `1+?=3` is solved with `1+2=3`

__Example:__ `2*?=8` is solved with `2*4=8`

This solver uses a brute-force method, this means that it tries all combinations and display the possible ones.

If the message `0` solution(s) is displayed, it is impossible to replace the `?` by numbers so that the calculation is valid. Several explanations:

— the `?` is a number (consisting of several digits)

__Example:__ `5+?=23` has no solution, but `5+??=23` does have the solution `18`

— the `?` is a negative number

__Example:__ `5+?=1` has no solution but `5+-?=1` has a solution of `4`

— an error may be in the problem statement

Fill in the blanks puzzles can help users improve their math skills. By solving these calculations, users can improve their understanding of basic math rules and improve their solving speed.

Point calculations sometimes cause problems due to the way languages handle floating point numbers. The IEEE 754 standard uses a binary representation to store floating point numbers, but it cannot store all floating point numbers exactly. Therefore, when a floating point number is stored, there may be a small loss of precision. This loss of precision can lead to miscalculations when floating point numbers are used in complex mathematical calculations.

dCode retains ownership of the "Missing Numbers Calculator" source code. Except explicit open source licence (indicated Creative Commons / free), the "Missing Numbers Calculator" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Missing Numbers Calculator" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Missing Numbers Calculator" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!

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Cite as source (bibliography):

*Missing Numbers Calculator* on dCode.fr [online website], retrieved on 2024-06-25,

blank,missing,number,calculation,addition,subtraction,multiplication,operation,equal,digit,puzzle,find,equation,unknown

https://www.dcode.fr/missing-numbers-calculator

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