Division 1 | Multiplication and division | Arithmetic | Khan Academy

Summary

This educational script explores the concept of division through relatable examples, such as splitting money or objects like quarters and bell peppers. It illustrates division as the process of evenly distributing items into groups and emphasizes its relationship with multiplication. The script uses visual aids to demonstrate division with remainders and encourages mental math strategies for solving division problems, aiming to clarify and solidify the understanding of this fundamental arithmetic operation.

Takeaways

• 😀 Division is the process of splitting a group into equal parts or distributing a quantity among a number of recipients.
• 📚 The word 'divide' is used in everyday language, such as dividing money between people.
• 👦👧 An example given is dividing 4 quarters between two people, resulting in each person getting 2 quarters.
• 🤔 Division can be thought of as the opposite of multiplication, where multiplication finds the total of groups and division finds the number of groups or the size of each group.
• 🍒 The script uses the example of dividing 6 bell peppers into 3 equal groups to explain division, resulting in each group having 2 bell peppers.
• 🔢 Division can be represented mathematically, such as 6 divided by 3 equals 2, showing the number of groups when the total is divided by the number of groups.
• 🍓 Another way to think about division is dividing a number into groups of a certain size, like dividing 6 raspberries into groups of 3, resulting in 2 groups.
• 🔄 The relationship between division and multiplication is highlighted, showing that 6 divided by 3 equals 2 and 6 divided by 2 equals 3, reflecting the commutative property of multiplication.
• 🍎 Division can result in a whole number or a quotient with a remainder, as shown with 9 divided by 4, which equals 2 with a remainder of 1.
• 🍏 The script explains that division can be done mentally by using multiplication tables to find how many times the divisor fits into the dividend before subtracting to find the remainder.
• 📝 Practice is emphasized as a way to become proficient in division, suggesting that over time, one may not need to draw out the problem but can solve it mentally.

Q & A

What does it mean to divide something?

To divide something means to cut it up into smaller parts or groups. For example, dividing money between two people means each person gets an equal share of the total amount.

How can you divide 4 quarters between 2 people?

You can divide 4 quarters between 2 people by giving each person 2 quarters. Mathematically, this is written as 4 divided by 2 equals 2.

What is the opposite operation of division?

The opposite operation of division is multiplication. For example, if you have 2 groups of 2 quarters, multiplying 2 by 2 gives you 4 quarters.

How can you illustrate 6 divided by 3?

You can illustrate 6 divided by 3 by drawing 6 objects and dividing them into 3 equal groups. Each group will have 2 objects, so 6 divided by 3 equals 2.

How does dividing by groups differ from dividing into groups?

Dividing by groups means you are separating objects into a specific number of groups. Dividing into groups means you are creating groups with a specific number of objects in each group.

What is the relationship between multiplication and division in the context of 6 divided by 2?

The relationship is that 6 divided by 2 equals 3 because 2 times 3 equals 6. Similarly, 6 divided by 3 equals 2 because 3 times 2 equals 6.

How can you handle division with remainders, such as 9 divided by 4?

For 9 divided by 4, you can create two groups of 4, with 1 object left over. So, 9 divided by 4 equals 2 with a remainder of 1.

What is the result of 12 divided by 4?

The result of 12 divided by 4 is 3, because you can divide 12 objects into 3 equal groups of 4.

How do you find 14 divided by 5 using multiplication tables?

You determine how many times 5 goes into 14 without exceeding it. Since 5 times 2 equals 10, and 5 times 3 equals 15 (which is too much), 5 goes into 14 two times, with a remainder of 4.

What does 8 divided by 2 equal, and how can it be visualized?

8 divided by 2 equals 4. You can visualize this by drawing 8 objects and dividing them into 4 groups of 2.