Task# Operations on the number line

Illustrative MathematicsVaries

There is a distinction in the Common Core State Standards between a fraction and a rational number. Fractions are always positive, and when thinking of the symbol as a fraction, it is possible to interpret it as equal-sized pieces where pieces make one whole. The rational numbers are the set of fractions taken together with their opposites: understanding rational numbers requires understanding both fractions and signed numbers. The standard 7.NS.1 signals a significant shift from working exclusively with positive numbers to working with signed numbers.