Welcome to the Smile Toy Factory! My name is Windsor, and I’m the manager here. Today, we’re going to learn some cool tricks to help us figure out how to package our toys without leaving any behind. These tricks are called divisibility rules, and they make math super fun and easy!
Divisibility rules help us know if one number can be divided by another without leaving anything left over. When a number can be divided evenly, we say it is “divisible” by that number. The number we divide by is called the “divisor.”
For example, if we have 4 robots and want to put 2 in each box, we can do it perfectly because 4 divided by 2 leaves no remainder. So, 4 is divisible by 2. But if we have 3 robots and try to put 2 in each box, we have 1 robot left over, so 3 is not divisible by 2.
Here’s a fun fact: every number is divisible by 1! This means you can divide any number by 1, and there will never be anything left over. That’s why 1 is called the “universal divisor.”
To find out if a number is divisible by 2, we just need to check if it’s even. An even number ends with 0, 2, 4, 6, or 8. For example, if we have 264 robots, we look at the last digit, which is 4. Since 4 is even, 264 is divisible by 2, and we can pack our robots without any leftovers!
Now, let’s talk about dividing by 5. If a number ends in 0 or 5, it’s divisible by 5. For instance, if we have 875 dolls, we can put 5 dolls in each box without any leftovers because 875 ends in 5. It’s just like the multiplication table of 5, where all the results end in 0 or 5.
Finally, let’s look at dividing by 10. A number is divisible by 10 if it ends in 0. If we have 6741 marbles and want to put 10 in each box, we check the last digit. Since 6741 ends in 1, it’s not divisible by 10, and we’ll have 1 marble left over.
Thanks for visiting the Smile Toy Factory! I hope you had fun learning about divisibility rules. These rules are super helpful in math and can make things like simplifying fractions and finding prime numbers much easier.
If you’re hungry, you can visit my brother Connor’s fruit shop next door. He loves teaching his favorite divisibility rules, and you’ll have a great time! See you later!
We’ve learned so much today! If you want to learn even more, check out the Smile and Learn educational channel. It’s full of fun videos that make learning exciting!
Divisibility Detective: Become a divisibility detective by finding numbers around you that are divisible by 2, 5, or 10. Look at house numbers, car license plates, or even the number of pages in a book. Write down the numbers you find and check if they follow the divisibility rules you learned. Can you find a number that is divisible by all three: 2, 5, and 10?
Even and Odd Hunt: Go on an even and odd number hunt in your home or classroom. Find objects that come in pairs (like shoes or socks) and count them. Are the total numbers even or odd? Discuss with a friend or family member why even numbers are divisible by 2 and what happens when you try to divide an odd number by 2.
Build a Toy Factory: Use building blocks or LEGO to create your own toy factory. Pretend each block is a toy, and try to pack them into boxes using the divisibility rules. For example, make groups of 5 or 10 and see if you have any blocks left over. How does the number of blocks change when you use different divisors like 2, 5, or 10?
Sure! Here’s a sanitized version of the YouTube transcript:
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Welcome to the Smile Toy Factory! My name is Windsor, and I’m the manager. You’ve arrived just in time. We’re figuring out how to package all our toys, and I know a few tricks to determine if we’ll have any toys left over when we put them in boxes. We call them the divisibility rules, and I’ll tell you about some of them.
[Music]
Look at how many robots there are! We want to put two in each box, but we need to know if there will be any left over. We can’t send any boxes with only one robot. To find out, we’ll be using the divisibility rules. These rules allow us to quickly determine if a number is divisible by another, meaning that dividing one number by another leaves a remainder of zero. When a number is divisible by another number, the number we divided by is called the divisor.
For example, if we have four robots and we want to put two in each box, there won’t be any left over because the remainder of the division is zero. So, four is divisible by two, and the number two is its divisor. On the other hand, the number three isn’t divisible by two because if we divide three by two, the remainder isn’t zero; it’s one.
Each number has its own divisibility rule. Some are based on adding all the digits, while others require looking at the last digits or performing simple operations. Today, we’ll talk about the numbers divisible by one, two, five, and ten.
Numbers divisible by one: There’s a very special number for which no divisibility rule is needed because any number you can think of is divisible by it. It’s known as the universal divisor. Can you guess what it is? Correct! The number one. Every number can be divided by one, and the remainder will always be zero.
Now, let’s solve our robot problem. We have 264 robots, and we want to put two in each box. We need to know if all the boxes will be full or if there will be robots left over. To find out, we can use the divisibility rule of two. If it’s an even number, it’s divisible by two; if it’s an odd number, it isn’t. The remainder will tell us how many robots are left over.
To determine if a number is odd or even, we look at its last digit. The last digit of 264 is 4, which is even. Therefore, 264 is even and should be divisible by 2. Let’s test the rule.
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Look! The remainder is zero, confirming that the divisibility rule of two works. Fantastic! No robots were left over.
Now, let’s talk about numbers divisible by five. Here we have dolls, and we can always keep five in each box. To find out if we can divide them into boxes of five, we use the divisibility rule of five. We only need to look at the last digit. Every number ending in five or zero is divisible by five.
We have 875 dolls, so if we store them five by five, there will be none left over. Think of the multiplication table of five; all the results end in five and zero, just like our divisibility rule of five.
Next, let’s go to the marble area. We have 6741 marbles and are putting 10 in each box. To know if there are any marbles left over, we check if the number ends in zero.
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What do you think will happen when we pack up all our marbles? Very good! There will be marbles left over because 6741 is not divisible by 10. Can you guess how many will be left over? There will be one left over. Well done!
Thank you very much for your visit! I hope you enjoyed learning about the divisibility rules. They are very useful in everyday life and will also help you in your math classes at school, as they provide clues to simplify fractions, determine if a number is prime, and much more.
It’s time for a break! If you’re hungry, you can stop by my brother Connor’s fruit shop next door. He loves visitors and can teach you his favorite divisibility rules. You’ll have a great time! See you later!
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This version maintains the educational content while removing any informal or unnecessary phrases.