Andrea drew the number line below. She said that 9/8 and 1 are equal. Explain her error
I do not see a number line but obviously 9/8 is not 8/8.
Ido
To explain Andrea's error, we need to analyze the number line she drew. The number line is a representation of numbers, where each point on the line corresponds to a specific value.
If Andrea claimed that 9/8 and 1 are equal, it means she marked 9/8 and 1 at the same point on the number line. However, this is incorrect because 9/8 and 1 are not equal.
To understand why they are not equal, we can represent both of these numbers on a proper number line.
First, let's consider 9/8. To represent this fraction on a number line, we need to divide the distance between 0 and 1 into 8 equal parts and mark 9 parts from 0. In other words, we divide the distance between 0 and 1 into 8 equal segments, and then count 9 segments starting from 0. This point on the number line would correspond to 9/8.
Next, let's consider the number 1. We know that 1 is a whole number and is located on the number line at the integer value 1. So, we mark the point corresponding to 1 on the number line.
Now, if we compare the positions of these two points, we can see that they are not located at the same point on the number line. The point representing 9/8 is located before the point representing 1. Therefore, we can conclude that 9/8 and 1 are not equal.
In summary, Andrea made an error by claiming that 9/8 and 1 are equal because they are located at different points on the number line. The point representing 9/8 comes before the point representing 1, indicating that they are not the same value.