Assessment and Learning in Knowledge Spaces (ALEKS) Practice Exam

What type of problems would you solve under the category of "Number Theory" in ALEKS?

1. Problems related to graphs and trends

2. Problems related to fractions and decimals

3. Problems related to integers, prime numbers, and divisibility

4. Problems related to measurements and conversions

The correct answer is: Problems related to integers, prime numbers, and divisibility

In the context of Number Theory, the focus is primarily on the study of integers and their properties. This includes exploration of concepts such as prime numbers, which are defined as natural numbers greater than 1 that have no positive divisors other than 1 and themselves. Additionally, divisibility plays a significant role, as it involves determining whether one integer can be divided by another without resulting in a remainder. Number Theory also encompasses various theorems and principles related to integers, such as the Euclidean algorithm for finding the greatest common divisor or exploring Fermat's Last Theorem. These topics require an understanding of how numbers interact within the set of whole numbers rather than the operations or properties associated with fractions, decimals, graphs, or measurements. By concentrating on integers and their fundamental characteristics, this branch of mathematics provides a rich ground for solving complex problems and fostering deeper insights into numerical relationships.