Final answer:
The statement is true; mitosis ensures that the two daughter cells produced have identical chromosome numbers to the original cell.
Step-by-step explanation:
The statement that mitosis does not change the chromosome number of the original cell is True. Mitosis is a type of cell division that results in two daughter cells each having the same number and kind of chromosomes as the parent nucleus, which is typical of ordinary tissue growth. During mitosis, the chromosomes equally separate, ensuring that each nucleus in each resulting cell after cell division contains a complete set of genetic information identical to that of the original cell.
During the process, the chromosomes that have been replicated during the S phase of the cell cycle are divided into two complete sets. This ensures that after cytokinesis, each resulting daughter cell has a complete set of chromosomes. This is different from meiosis, which reduces the chromosome number by half and introduces genetic variation among the resulting cells.