In this assessment, students explore the method used to solve a fairly common problem that often appears in mathematics competitions: finding the last digit of the product of two large numbers expressed in exponential notation. As part of this task, students discover patterns in the last digits of the powers of 2, 3 (and later 7 and 17), apply the method of column multiplication, and put all their findings together to discover how to solve the given question.

Math Concepts:
exponents
last digit
powers of 2
powers of 3
powers of 7
powers of 17
remainder
patterns

MYP Related Concepts:
generalization
patterns

MYP Key Concepts:
relationships

MYP Global Context:
Identities and Relationships