Quandaries and Queries 

Fourth Grade Question: Please help. I'm a fourth grader and I'm having an argument with my teacher. Hi,
If you draw an acurate diagram it is easy to see that ^{3}/_{5} is closer to ^{1}/_{2} than it is to either 0 or 1.
If you now put ^{3}/_{10} on the same diagram you can see that it is closer to ^{1}/_{2} than it is to 1.
To draw an acurate diagram I divided the line segment from 0 to 1 into 10 equal pieces. Then I could see where to put all your fractions and "measure" the distances between them by counting the small intervals.. For example the distance between ^{3}/_{5} and ^{1}/_{2} is one tenth( ^{1}/_{10}) and the distance between ^{3}/_{10} and ^{3}/_{5} is ^{3}/_{10}. When measuring the distance between two points to determine how close they are, we can measure in either direction. Cheers,Penny 

