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Missing Numbers Calculator

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

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Missing Numbers Calculator -

Tag(s) : Number Games, Arithmetics

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Missing Numbers Calculator

Find the Missing Digits Solver

Use '?' for each missing digit, for a 2-digit number write '??'




Find x in an Equation Solver

The missing digits solver is not an equation solver, it only looks for missing digits from 0 to 9. For other cases, use dedicated tool:

⮞ Go to: Equation Solver

Answers to Questions (FAQ)

What is a calculation with blanks? (Definition)

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.

How to solve a calculation with blanks?

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.

How does the missing numbers solver works?

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.

Why is no solution found?

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

Why do gap calculations?

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.

Why should floating point numbers be avoided?

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.

Source code

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!
Reminder : dCode is free to use.

Cite dCode

The copy-paste of the page "Missing Numbers Calculator" or any of its results, is allowed (even for commercial purposes) as long as you credit dCode!
Exporting results as a .csv or .txt file is free by clicking on the export icon
Cite as source (bibliography):
Missing Numbers Calculator on dCode.fr [online website], retrieved on 2024-06-25, https://www.dcode.fr/missing-numbers-calculator

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Questions / Comments

Feedback and suggestions are welcome so that dCode offers the best 'Missing Numbers Calculator' tool for free! Thank you!


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