Division concept:

The division is one of the four basic arithmetic operations. It involves splitting a number (called the dividend) into equal parts, each containing a specified quantity (divisor). The result is called the quotient. In simple terms, division answers the question, "How many times can one number fit into another?"

For example, if you have 12 candies and want to split them equally among 3 friends, each friend would get 4 candies because 12÷3=4.

Division Facts:

1. Division as the Opposite of Multiplication: Division "undoes" multiplication. For instance, since 6×2=12, it follows that 12÷2=6.
2. Division by 1: Any number divided by 1 remains the same (e.g., 5÷1=5).
3. Division by Itself: Any number divided by itself is 1 (e.g., 8÷8=1), as long as the number is not zero.
4. Division by 0: Division by 0 is undefined, as it doesn’t result in a meaningful answer.

Example 1:

Divide by 2: 14 by 2.

Solution:

1. Set up the division: 14÷2.
2. Think of how many times 2 can fit into 14.
3. Using multiplication to help, 2×7=14, $14÷2=7$.

Final Solution: $14÷2=7$.

Example 2:

Divide by 2 Using the Sharing Concept:

If there are 10 apples and you want to divide them equally between 2 baskets, how many apples will go in each basket?

Solution:

• Set up the division: $10÷2$.
• Distribute the apples equally: divide 10 apples into 2 groups.
• Each group will have 5 apples.

Final solution: $10÷2=5$, so each basket will have 5 apples.

Example 3:

Divide 18 by 3.

Solution:

• Set up the division: 18÷3.
• Determine how many times 3 can fit into 18.
• Using multiplication to check, 3×6=18,18÷3=6.

Final Answer: $18÷3=6$.

Example 4:

Divide by 3 using a real-world context:

There are 15 cookies, and 3 friends want to share them equally. How many cookies will each friend get?

Solution:

1. Set up the division: 15÷3.
2. Distribute the cookies equally among the 3 friends.
3. Each friend will receive 5 cookies.

Final Answer: $15÷3=5$, so each friend will get 5 cookies.

Why it matters:

Dividing by 4, 5, and 6 helps students understand equal sharing and grouping, which are essential for problem-solving in everyday situations. These skills are crucial for understanding fractions, ratios, and more complex math concepts. Mastering division enhances logical reasoning and builds a foundation for advanced arithmetic operations.

By practicing division, you can solve real-world problems quickly!

Let’s practice and evaluate your work together by division.