Welcome to Smile and Learn! Today, we’re going to have some fun with numbers and learn about how to tell if a number can be divided by three. There’s a cool trick we can use: we just add up all the digits of the number, and if the total can be divided by three, then the original number can be divided by three too!
Imagine we have a huge pile of 4,175,676 oranges. That’s a lot of oranges, right? But don’t worry, we can handle it step by step.
First, let’s add up the digits of the number:
Now, we have the number 36. Let’s see if 36 can be divided by three. When we divide 36 by 3, it goes in evenly with no leftovers. This means 36 is divisible by three. So, we can pack our oranges into boxes of three without any leftovers!
If we have a super big number, adding up all the digits can give us a smaller number. We can keep adding the digits of the result until we get a small number. If this small number can be divided by three, then the original big number can be divided by three too!
For example, when we added the digits of 36, we got 9. Since 9 can be divided by three, we know our original number can be divided by three as well.
The divisibility rule of three is fun because you can keep adding the digits as many times as you need. It’s like a little math game! Isn’t that useful?
We’ve learned so much in just one lesson! Did you know there are many more lessons available? Imagine how much more you could learn! Subscribe to the Smile and Learn educational channel to learn and have fun at the same time!
Number Hunt: Go on a number hunt around your house or classroom. Find different numbers on items like books, clocks, or even cereal boxes. Write down these numbers and add up their digits. Check if the sum is divisible by three. Can you find a number that is not divisible by three? Share your findings with a friend or family member!
Divisibility Detective: Become a divisibility detective! Choose a number between 1 and 100. Add up its digits and see if the sum is divisible by three. If it is, draw a smiley face next to it. If not, draw a question mark. Try to find at least five numbers that are divisible by three. How many can you find?
Make Your Own Math Game: Create a simple board game using a piece of paper and some markers. Draw a path with 20 spaces. Write a number in each space. Players roll a dice and move along the path. When they land on a space, they must check if the number is divisible by three by adding its digits. If it is, they move forward three extra spaces. If not, they stay put. Play with a friend and see who reaches the end first!
Here’s a sanitized version of the provided YouTube transcript:
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Welcome to Smile and Learn! Today, we’re exploring numbers that are divisible by three. To determine if a number can be divided by three, we can use a neat trick: we add up all the digits of the number, and if the result is divisible by three, then the original number is also divisible by three.
Let’s see how this works with a large number of oranges. We have 4,175,676 oranges to sort. That’s quite a lot, but we can tackle it step by step.
First, we add the digits:
4 + 1 = 5
5 + 7 = 12
12 + 5 = 17
17 + 6 = 23
23 + 7 = 30
30 + 6 = 36
Now, let’s check if 36 is divisible by three. When we divide 36 by 3, the remainder is zero, which means 36 is indeed divisible by three. Since 36 is the sum of the digits of our original number, this means that we can pack the oranges into boxes of three without any leftovers.
But what if we encounter a very large number? Performing division on such large numbers can be time-consuming. In that case, after adding the digits of the original number, we can add the digits of the resulting number again to get a smaller number. If this smaller number is divisible by three, then the original number is also divisible by three.
For example, when we added the digits of 36, we got 9. Since 9 is a small number and divisible by three, we confirm that our original number is also divisible by three.
The divisibility rule of three is quite fun because we can keep adding the digits as many times as needed. Isn’t that useful?
We’ve learned so much in just one video! Did you know there are many more videos available? Imagine how much more you could learn! Subscribe to the Smile and Learn educational channel to learn and have fun at the same time!
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