Divisibility Rules Worksheet for Grade 5 students, matching rules with their descriptions.

Problem Overview:

The task is to match each divisibility rule with its corresponding description. The divisibility rules are for the numbers 2, 3, 4, 5, 9, and 10. Each rule has a specific condition that determines whether a number is divisible by the given number.

Divisibility Rules:

1. Divisibility Rule of 2: A number is divisible by 2 if its ones digit is even.
2. Divisibility Rule of 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
3. Divisibility Rule of 4: A number is divisible by 4 if the last two digits form a multiple of 4.
4. Divisibility Rule of 5: A number is divisible by 5 if its ones digit is 0 or 5.
5. Divisibility Rule of 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
6. Divisibility Rule of 10: A number is divisible by 10 if its ones digit is 0.

Matching the Rules:

Now, let's match each rule with its correct description from the options provided:

#### Divisibility Rule of 2:
- Description: "The ones digit is even."
- Match: The ones digit is even.

#### Divisibility Rule of 4:
- Description: "The last two digits form a multiple of 4."
- Match: The last two digits form a multiple of 4.

#### Divisibility Rule of 9:
- Description: "The final sum of its digits is 9."
- Match: The final sum of its digits is 9.

#### Divisibility Rule of 5:
- Description: "The ones digit is 0 or 5."
- Match: The ones digit is 0 or 5.

#### Divisibility Rule of 10:
- Description: "The ones digit is 0."
- Match: The ones digit is 0.

#### Divisibility Rule of 3:
- Description: "The final sum of its digits is 3, 6, or 9."
- Match: The final sum of its digits is 3, 6, or 9.

Final Matched Pairs:

1. Divisibility rule of 2: The ones digit is even.
2. Divisibility rule of 4: The last two digits form a multiple of 4.
3. Divisibility rule of 9: The final sum of its digits is 9.
4. Divisibility rule of 5: The ones digit is 0 or 5.
5. Divisibility rule of 10: The ones digit is 0.
6. Divisibility rule of 3: The final sum of its digits is 3, 6, or 9.

Boxed Answer:

\[
\boxed{
\begin{aligned}
&\text{Divisibility rule of 2: The ones digit is even.} \\
&\text{Divisibility rule of 4: The last two digits form a multiple of 4.} \\
&\text{Divisibility rule of 9: The final sum of its digits is 9.} \\
&\text{Divisibility rule of 5: The ones digit is 0 or 5.} \\
&\text{Divisibility rule of 10: The ones digit is 0.} \\
&\text{Divisibility rule of 3: The final sum of its digits is 3, 6, or 9.}
\end{aligned}
}
\]