Characteristic 10. From characteristics 1 and 3, any fractions and infinite acyclic decimals that has no integer solution in a finite range in axiom 1 can obtain a definite value of integer solution in an infinite range in a change in direction suggesting infinitely many quantities, such as 4/3, 7/6, 21/2, π, etc.,including all quantities we can find, their final destination is an infinite integer quantity indicated by change in direction . The concept that any length can be randomly and infinitely divided into fewer parts has been replaced by the change in direction in which the formula is expressed by ∞()1=∞, ∞()∞=1. Here, 1 is a finite length quantity of one dimension without the sizes of space, and ∞ denotes infinitely many quantities that are defined as the concept that the superpositions of 1 to be carried on forever can aslo not reach ∞. All infinite quantities implemented by a change in direction are carried out in the way of ∞()∞=1. Within the infinitely many quantities suggested by the change in direction, there is no difference between an odd number and even number, a prime number and a sum number and also irrational numbers and rational numbers.