Hello friends! Today, we’re going to learn about something super cool in math called long division. Are you ready to become a division expert? Let’s dive in!
First, let’s remember what division is. Division is like sharing something equally. Imagine you have a big pizza, and you want to share it with your friends. The number you’re dividing is called the dividend, and the number you divide by is the divisor.
Let’s say we have 125 astronauts and 5 spaceships. We want to know how many astronauts can fit in each spaceship. Here, 125 is the dividend, and 5 is the divisor. To solve this, we use long division.
First, we look at the number 125. We can’t divide the first digit, 1, by 5 because it’s too small. So, we take the first two digits, 12. Now, we think: what number times 5 is close to 12? It’s 2 because 2 times 5 is 10. We write 2 above the line and subtract 10 from 12, leaving us with 2.
Next, we bring down the 5 from 125, making it 25. What number times 5 is 25? It’s 5! We write 5 next to the 2 above the line. Subtracting 25 from 25 gives us 0, which means we’re done. So, 125 divided by 5 equals 25. Each spaceship gets 25 astronauts!
If there’s nothing left after dividing, it’s called an exact division. If there’s something left, it’s called an inexact division.
Now, let’s try something a bit harder: dividing by a two-digit number. Imagine we have 3225 spaceships and 25 planets. We want to know how many spaceships go to each planet.
We start with the first two digits of 3225, which is 32. What number times 25 is close to 32? It’s 1 because 1 times 25 is 25. We write 1 above the line, subtract 25 from 32, and get 7.
Next, we bring down the next digit, making it 72. What number times 25 is close to 72? It’s 2! We write 2 next to the 1 above the line. Subtracting 50 from 72 gives us 22.
Finally, we bring down the last digit, making it 225. What number times 25 is 225? It’s 9! We write 9 next to the 12 above the line. Subtracting 225 from 225 gives us 0. So, 3225 divided by 25 equals 129. Each planet gets 129 spaceships!
To make sure we did it right, we can check our work. Multiply the divisor by the quotient and add the remainder. If it equals the dividend, we did it correctly!
For example, 25 times 129 plus 0 equals 3225. Yay, we got it right!
And that’s it for today! You’ve learned how to do long division with one and two-digit divisors. Keep practicing, and you’ll become a math whiz in no time. See you in the next class!
Remember, there are many more fun videos to watch and learn from. Keep exploring and have fun with math!
Pizza Party Division: Imagine you have a pizza with 12 slices and 4 friends to share it with. How many slices does each friend get? Try this with different numbers of slices and friends. Use real objects like paper plates and cut-out paper slices to visualize and solve the division problems.
Division Detective: Go on a division hunt around your home or classroom. Find items that can be divided equally among a group. For example, how can you divide 18 crayons among 3 people? Write down your findings and share them with your classmates.
Story Problems: Create a short story where characters need to use division to solve a problem. For example, “There are 24 apples and 6 baskets. How many apples go into each basket?” Draw pictures to illustrate your story and share it with the class.
Sure! Here’s a sanitized version of the transcript:
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Hello friends! Today we are going to learn about long division.
But before we start, do you remember how to divide? To divide is to split an amount into equal parts. When we divide a quantity, that number is called the dividend, while the number that we divide by is called the divisor. In division, we divide the dividend by the divisor.
Let’s look at an example: let’s divide 125 by 5, where 125 is the dividend and 5 is the divisor. When dividing, we need to know the multiplication tables very well, as they are essential for long division.
Imagine that we want to put 125 astronauts into five spaceships. How will we know how many astronauts will go in each spaceship? Let’s solve the operation using long division to easily divide 125 by 5.
To start long division, we have to see how many digits of the dividend we have to use. The rule is that the number of the dividend we are going to divide has to be equal to or greater than the number of the divisor. In this case, the 1 in 125 is less than 5, so we have to choose the next number in the dividend, which is 12.
Now we need to mentally calculate which number multiplied by the divisor is closest to the dividend. Which number multiplied by 5 gives us 12 or less? Two! Indeed, two times five equals ten. We cannot use three because if we multiply it by 5, it gives us 15, which is bigger than the dividend. So we write down two above the box and put the multiplication below the dividend, in our case, 10 under 12, and subtract.
12 minus 10 gives us 2, so we write the result below. Now we bring the next number down from the dividend to get 25, which we will again divide by 5. What number multiplied by 5 gives us 25 or is very close? Five! Great job! We write it down next to the 2 above the division box.
Since 5 times 5 is 25, we write it down under the first 25 and subtract. 25 minus 25 equals 0. This means the remainder of this division is zero. If we divide 125 by 5, we get 25. We know this because we have no more numbers left to bring down from the dividend, so we’re done.
The result is also called the quotient of the division, which is the number of astronauts that each ship gets. In this case, we will put 25 astronauts into each spaceship.
When we don’t have any more numbers left to divide, we arrive at the remainder. If the remainder of the division is equal to zero, it is said to be an exact division. This means we can equally divide the dividend by the divisor without any numbers left over. When the remainder is not zero, we have leftover numbers after dividing the dividend by the divisor, which is called inexact division.
That’s all for today! Stay super attentive, and you’ll see how easy it is for you to divide from now on. See you in the next class!
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Now, let’s move on to the next part.
Hey friends! Today we are going to learn about long division, but this time the divisor will have two digits. Remember, to learn how to divide by two digits, we must first know how to divide by one digit.
Do you remember the parts that make up division? When we divide a quantity, that number is called the dividend, while the number that we divide by is called the divisor. In this case, 3225 divided by 25 means 3225 is the dividend and 25 is the divisor.
When dividing, we need to know the multiplication tables very well, as they are essential for doing division. Imagine we want to distribute 3225 spaceships equally on 25 planets. How will we know how many spaceships will go on each planet? Let’s solve the problem.
First, we must look at the numbers of the dividend. If the first number of the dividend is smaller than the divisor, we will have to choose the next number of the dividend. In this case, the divisor has two digits, so we will select the first two digits of the dividend.
Let’s start! First, we have to see how many digits of the dividend we have to use. As I told you before, the number of the dividend we are going to divide has to be equal to or greater than the number of the divisor. In this case, 32, the first two digits in 3225, is greater than 25, so we don’t need to choose the next number of the dividend.
Now we have to mentally calculate which number multiplied by the divisor is closest to the dividend. Which number multiplied by 25 gives us 32 or less? One! Correct! One multiplied by 25 equals 25. We can’t use 2 because if we multiply it by 25, we get 50, which is greater than 32.
So we write down one above the line on top of the two and put the multiplication below the dividend, in our case, 25 under 32, and subtract. 32 minus 25 equals 7, and we write the result below.
Now, since 7 is less than 25, we have to bring the next number down from the dividend, and we get our next number: 72. Which number multiplied by 25 gives us 72 or is close to it? Two! You’re on fire! If we multiply by three, we go over, and if we multiply by one, it’s too small.
We will write 2 next to one above the line. So, 25 times 2 is 50. We will write 50 under 72 and subtract. What’s the result? 22! That’s right! 22 is less than 25, so what do we do when the number is smaller than the divisor? We have to bring the next number down from the dividend.
Now we have to divide a big number. Which number multiplied by 25 gives us 225 or something close? Nine! Excellent! If we multiply by 10, it’s too big, and if we multiply by 8, it’s too small. Since 25 times 9 is 225, we write this number below and then subtract. We will write 9 next to one and two.
The result of 225 minus 225 is zero. This means 3225 divided by 25 equals 129. We know this because we have no more numbers left to bring down from the dividend, so we’re done.
This result is also called the quotient of the division, which is the number of spaceships each planet gets. In this case, we will put 129 spaceships on each planet.
When we don’t have any more numbers left to divide, we arrive at the remainder. If the remainder of the division is equal to zero, it is said to be an exact division. When the remainder is not zero, we have leftover numbers after dividing the dividend by the divisor, which is called inexact division.
Know that there’s a way to check if we have done the division correctly. There is one rule that applies to all divisions: the dividend of a division is equal to the divisor multiplied by the quotient plus the remainder.
In this division, it would be 3225 is equal to 25 multiplied by 129 plus zero. If we do the multiplication, we can see that 25 multiplied by 129 equals 3225.
And that’s it! We know that we have followed all the steps correctly because we’ve checked our division. You’re amazing! That’s all for today. You’ve been super attentive. Let’s see how easy it is for you to divide from now on. See you in the next class!
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