In the video below, Alison chooses some three-digit numbers and carries out some calculations which lead to a surprising result!
Watch the video. What do you notice?
Can you figure out the steps that Alison carries out in each calculation?
Record all your calculations in your book. Write down everything you notice as you work.
Choose some three-digit numbers of your own.
(Make sure the first and third digits are different)
Is there a pattern to all the answers?
Now watch the videos again. This time, all three subtractions are carried out at the same time.
You may wish to pause the video at certain points, or watch it several times.
What is the same in each example?
What is different?
Does every example lead to the same answer?
Can you use what you noticed in the video to prove it?