# reverses investigation

23 Nov 2014

In order for students to ensure they are fantastic at written methods of addition and subtraction they need loads of practise. Rather than setting hundreds of different questions, I use the following investigation so students get the required practise with a minimal amount of marking on my part. The subtraction sections should always involve borrowing / stealing.

## starter - 99

On whiteboards, ask the students to perform the following set of instructions;

1. choose a 2-digit number that is not a multiple of 11

1. reverse the digits

1. subtract the smaller number from the larger number (using column subtraction)

1. students reveal their boards. They should all get 99.

Note: If students get an answer of 9 in step 3. then they need to write it as 09 (using the 0 as a place holder) and then reverse it in step 4. to 90.

## good old 1089

The process described above is commonly used with an initial 3-digit number. The answer should always be 1089, meaning that it is extremely simple to check students’ answers. Here’s an example

1. choose a 3-digit number with different first and third digits

1. reverse the digits

1. subtract the smaller number from the larger number (using column subtraction) 