📚 Topic Summary
Divisibility rules are shortcuts to determine if a number can be divided evenly by another number, without actually doing the division. This is super useful, especially when dealing with larger numbers. Instead of lengthy calculations, we can quickly check if a number is divisible by 2, 3, 5, 6, 9, or 10 using simple rules. These rules save time and help build a stronger understanding of number properties.
For example, a number is divisible by 2 if its last digit is even, by 5 if its last digit is 0 or 5, and by 10 if its last digit is 0. Understanding these rules allows us to simplify fractions, solve problems more efficiently, and develop a deeper appreciation for the relationships between numbers. Let's practice!
🧮 Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Divisible |
A. A number that divides another number evenly. |
| 2. Factor |
B. A number that can be divided evenly by another number with no remainder. |
| 3. Remainder |
C. The number left over after division. |
| 4. Even Number |
D. An integer that is exactly divisible by 2. |
| 5. Odd Number |
E. An integer that is not exactly divisible by 2. |
✍️ Part B: Fill in the Blanks
Complete the sentences using the words from the word bank: divisible, 3, 5, 0, 9, 2.
- A number is divisible by _____ if its last digit is an even number.
- A number is divisible by _____ if its last digit is 0 or 5.
- A number is divisible by _____ if the sum of its digits is divisible by 3.
- A number is divisible by _____ if the sum of its digits is divisible by 9.
- A number is divisible by 10 if its last digit is _____.
- When a number is _______ by another, there is no remainder.
🤔 Part C: Critical Thinking
Explain how knowing divisibility rules can help you in everyday life. Give at least two examples.
