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The Last Digit

What is the last digit of 45456468? Explain your reasoning.

What is the last digit of 3897? Explain your reasoning.

 Extensions

Investigate patterns in the digits of the exponentiation of other integer bases.

 Related External Resources

Digits, squares, and cycles
Explore fascinating patterns that lurk among the digits of whole numbers.

Mayan adventure [ java applet ]
This is a multi-page java-based Mayan Adventure game. Explore Mayan Mathematics, the Mayan system of time keeping, and significant facts about Mayan culture & history, while deciphering up to 40% of all extant Mayan hieroglyphics.

Sequence of exercise
Two students decided to begin a new exercise program they agreed that they would jog 3 blocks farther each day. Determine how many days the students have been jogging.

Blankety-five squared
Blankety-Five Squared is a fun game that will teach you to square two-digit numbers that end in five.

Assorted problems
Assorted problems of the day from Highland Middle School.

Submit your idea for an investigation to InterMath.