Children learn to use inverse operations, such as adding to check a subtraction, to verify their answers and solve missing number calculations.
In Year 3, children learn to use inverse operations to check calculations and work backwards. They understand that addition and subtraction undo each other, and that multiplication connects directly to sharing. Using these relationships, pupils verify their results and determine missing starting amounts rather than simply recalculating the original problem.
A frequent mistake occurs when children mix up the parts and the whole when setting up a check. For instance, after completing a subtraction, a child might subtract again or mistakenly add the original total to their answer, instead of adding the two smaller amounts together to see if they rebuild the starting number.
Tasks give children practical opportunities to test and explain calculations. Typical worksheets include prompts to check a subtraction by adding, decide whether a check calculation is correct, and spot errors in completed checks. Children also apply inverse thinking to solve problems such as identifying what number was subtracted from, working out what a number was multiplied by, or finding how many items were there before sharing.