Count Forwards And Backwards In Steps Of Power - Reasoning

In an exercise designed to enhance reasoning skills around the concept of counting forwards and backwards in various steps of power, students are presented with a challenge to identify errors in sequences of numbers. The task requires the application of number and place value knowledge, specifically in incrementing numbers by powers of 10. Malachi claims he can count by hundreds from 723 and reach 1,230, but upon closer inspection, it becomes clear that he has made an error. The correct number he would count to is actually 1,223, not 1,230 as he initially thought.

Other students, Tia and Rosie, also provide sequences where they count by tens and ten thousands from given starting points. Tia asserts that counting by tens from 56 will lead her to 126, while Rosie believes that counting by ten thousands from 1,800 will result in 41,800. Each student's claim is scrutinised to determine who has made a mistake in their counting. Through this exercise, students practice their understanding of numerical patterns and the importance of precision when working with place values and large numbers. The activity serves to reinforce the mathematical concept of counting in steps, whether they be tens, hundreds, or tens of thousands.