Distinguishing a digit from its place value
A digit and the value of its position are different things. Start by separating a number into hundreds, tens and ones. Ask the student to explain why swapping the cards changes the number.
Try it yourself first.
Partition 352. Then swap the digits 3 and 5 and write the new number. Which digit gains value and which loses value?
View the solution or example answer
352 = 300 + 50 + 2; the new number is 532. The value of 5 increases from 50 to 500, while the value of 3 falls from 300 to 30. The digits stay the same but their positions change.
Your next step.
Partition a new number before reading it from memory. If confusion continues, practise with tens and ones before moving to larger numbers. You can share your examples in an online lesson.
Joining online lessons from Akyurt.
Lessons with Songül Nazariani are live, one to one and exclusively online. Share your needs for primary or middle school maths, general English, conversation practice, IELTS or TOEFL preparation. Suitable days, times, lesson duration and fees are discussed together.
Sharing the student’s year group and a question they find difficult helps us plan the starting point.