📚 Topic Summary
Divisibility rules are shortcuts that help you quickly determine if a number is divisible by another number without actually performing the division. These rules are especially helpful for large numbers and can save you time on tests and homework. For 5th graders, mastering these rules makes math easier and more fun. Let's practice!
🧮 Part A: Vocabulary
Match the term with the correct definition:
- Divisible
- Remainder
- Factor
- Divisor
- Multiple
- A number that divides another number evenly.
- A number that is the product of a given number and an integer.
- Capable of being divided evenly by another number.
- A number that divides another number with no remainder.
- The amount left over after division.
(Answers: 1-3, 2-5, 3-4, 4-1, 5-2)
✏️ Part B: Fill in the Blanks
Complete the following paragraph using the words: divisible, 5, 10, even, 3.
A number is divisible by 2 if it is __________. A number is divisible by __________ if its last digit is 0 or __________. A number is divisible by __________ if the sum of its digits is divisible by __________.
(Answers: even, 5, 5, 10, 3, 3)
🤔 Part C: Critical Thinking
Can a number be divisible by both 2 and 3? If so, give an example and explain why.
(Answer: Yes, a number can be divisible by both 2 and 3 if it is divisible by 6. Example: 6, 12, 18. This is because 6 is the least common multiple of 2 and 3.)