Last-Digit Tests
Apply last-digit divisibility tests in Grade 6 math — determine divisibility by 2, 5, and 10 by examining only the ones digit, speeding up mental math and factor identification.
Key Concepts
Property Inspect the last digit of the number. A number is divisible by: $2$ if the last digit is even. $5$ if the last digit is $0$ or $5$. $10$ if the last digit is $0$.
Examples $2468$ is divisible by $2$ because its last digit, $8$, is an even number. $975$ is divisible by $5$ because its last digit is $5$. $3450$ is divisible by both $5$ and $10$ because its last digit is $0$.
Explanation Forget long division! To check for divisibility by $2$, $5$, or $10$, just peek at the very last digit. It's the ultimate shortcut. If the last digit gives you the right signal—like being even for the number $2$—you have cracked the code without doing any heavy math lifting. It's the sneakiest and fastest test in the book!
Common Questions
What is Last-Digit Tests in Grade 6 math?
Last-Digit Tests is a key concept in Grade 6 math from Saxon Math, Course 1. Students learn to apply this skill through structured examples, step-by-step methods, and real-world problem solving.
How do students learn Last-Digit Tests?
Students build understanding of Last-Digit Tests by first reviewing prerequisite concepts, then working through guided examples. Practice problems reinforce the skill and help students recognize patterns and apply procedures confidently.
Why is Last-Digit Tests important in Grade 6 math?
Mastering Last-Digit Tests builds a foundation for advanced topics in middle and high school math. It develops mathematical reasoning and connects to multiple real-world applications students encounter in everyday life.
What are common mistakes students make with Last-Digit Tests?
Common errors include misapplying the procedure or skipping simplification steps. Students should always check their answers by working backwards and reviewing each step methodically.