Visual Order of Operations

Visual Order of Operations

iOS iPad Education

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This math app is about the concept of order of operations. The user can evaluate random and custom expressions with exponentiation, division, multiplication, addition, and subtraction operations on integers and decimals. Operations can be grouped with nested parenthesis.

Expressions are evaluated one operation at a time just by tapping the operation. If the user taps an operation that can’t be solved next, the app tells why that was the wrong choice. There are no penalties for wrong answers.

After each step the solution for the current operation flies to the correct place. For example after solving 3 - 1 the answer 2 will fly to the correct place and the rest of the expression will move down. That way the user sees that only one part of the expression is solved in each step.

The user learns that the complexity of the initial expression does not matter because you only need to solve one multiplication, division, addition, or subtraction at each step.

The app uses a hierarchy of operators triangle - boss triangle - that shows the order of operations using a pyramid with exponent at the top, x and ÷ in the middle and + and - at the bottom. The rules are shown in a visual way instead of mnemonics.

Settings for random problems:

-allow multiplications
-allow divisions
-allow exponents
-allow negative numbers
-allow multi-digit numbers
-allow decimals
-allow parenthesis
-allow nested parenthesis

Other iDevBooks math apps

iDevBooks math apps have been reviewed and endorsed by,, Teachers with Apps, and other other respected sites and organizations.

Some of the 40 other iDevBooks math apps are Visual Multiplication Table, Visual Fractions Decimals and Percentages, Decimal Rounding, Whole Number Rounding, Column Subtraction, Column Addition, Long Division, Long Multiplication, Lattice Multiplication, Fraction Math, Partial Differences Subtraction, Partial Quotients Division, Partial Sums Addition, etc.

Feedback and requests for new features

New ideas to make this app better are welcome. Please visit to give feedback.


This app has no ads or in-app purchases and it does not transmit any data during the operation of the app. This app also does not contain any links to other apps or the web.

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What's New

- support for iOS 13
- new interface with support for latest iPad models

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