Cool Down: Different Types of Roots
Lin is asked to place a point on a number line to represent the value of 49 and she
writes:
+
+
0 1 2 3 4 5 6 7 8 9 10
Where should 49 actually be on the number line? How do you think Lin got the answer
she did?



Answer :

Lin placed the point representing the value of 49 at position 4 on the number line, between 48 and 50. The correct placement for 49 would be at position 5. Here's how Lin might have arrived at her answer: 1. Lin might have counted the ticks on the number line and mistakenly counted 0 as the first position instead of 1. This error could have led her to place 49 at position 4 instead of 5. 2. Alternatively, Lin might have misinterpreted the intervals between the numbers on the number line, leading her to place the point at the wrong position. To help Lin understand the correct placement of 49 on the number line, you could explain the concept of counting intervals and positioning numbers accurately. Emphasize that each tick mark represents a whole number and that the point for 49 should be at the fifth position after 44, 45, 46, and 47. By counting accurately and understanding the intervals between numbers, Lin can correctly place the point representing 49 on the number line.