Hi there! My name is Trevor Divisor, and I’m thrilled to have you visit my little farm. I have lots of animals here, mostly sheep and chickens. With winter coming, I need to make sure they have cozy places to stay. I’ll be building stables for the sheep and coops for the chickens. To make sure everyone has a spot, I’ll use something called divisibility rules. Want to learn how they work?
Divisibility rules help us quickly figure out if one number can be divided by another without leaving anything left over. When this happens, we say the number is divisible by the other number. Today, we’re going to learn about numbers that can be divided by four and eight.
I have 344 sheep, and I want to make sure they can rest in groups of four. To do this, I need to check if 344 is divisible by four. Here’s how:
There are two ways to check if a number is divisible by four:
For my 344 sheep, the last two digits are 44. When we divide 44 by four, we get zero left over, which means 344 is divisible by four. Hooray! All my sheep will have a place to stay.
Now, let’s talk about my 2856 chickens. I want to build eight coops for them. To make sure each coop is full, I need to see if 2856 is divisible by eight. Here’s how we do it:
To check if a number is divisible by eight, look at the last three digits:
The last three digits of 2856 are 856. When we divide 856 by eight, there’s no remainder, which means 2856 is divisible by eight. Perfect! All the chicken coops will be full.
Now that I’ve got my work cut out for me, why don’t you visit my family’s restaurant, Divisor Diners? My brother Taylor runs it, and he loves using divisibility rules too. You’ll have a great time!
We’ve learned a lot today about divisibility rules. If you want to learn even more, check out the Smile and Learn educational channel. There’s so much more to discover!
Divisibility Detective: Become a divisibility detective! Find numbers around your home or classroom, like page numbers in a book or numbers on a clock. Use the divisibility rules you learned to check if these numbers are divisible by four or eight. Can you find a number that is divisible by both? Share your findings with a friend or family member!
Build Your Own Farm: Imagine you have your own farm like Trevor’s. Draw a picture of your farm and decide how many animals you have. Use the divisibility rules to figure out how many stables or coops you need. For example, if you have 120 animals, can you group them into stables of four or coops of eight? Explain your choices to your classmates.
Number Puzzle: Create a number puzzle for your friends. Write down a list of numbers and ask them to use the divisibility rules to find which numbers are divisible by four or eight. You can make it more fun by turning it into a game where each correct answer earns a point. Who can find the most divisible numbers?
Sure! Here’s a sanitized version of the YouTube transcript:
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Welcome to my little farm! My name is Trevor Divisor, and I’m super excited for your visit. I have a lot of animals, mostly sheep and chickens. They have plenty of room to roam, but now that winter is coming, they will need shelter. I want my animals to be very comfortable, so I will build stables and chicken coops to group them together. It’s important that the chicken coops and stables are full and that none of them are left out in the cold. For that, I will use the divisibility rule, which is a custom in my family. Would you like me to explain it?
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The divisibility rules allow us to quickly determine if a number is divisible by another. This means that when dividing one number by another, the remainder is zero. When a number is divisible by another number, the number we divided by is known as its divisor. Today, we’ll learn about the numbers that are divisible by four and eight.
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Numbers divisible by four:
I love my sheep very much and know all 344 names. To ensure they are comfortable, I thought about building stables where they can rest in groups of four without any being left out. Let’s recap: there are 344 sheep, and I want four to sleep in each stable. To find out if I can group them without any left out in the cold, I will use the divisibility rule of four.
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The method is based on two rules. If either is fulfilled, it means our number is divisible by four. First, we check if the last two digits of the number are zeros. If so, then it is divisible by four. Let’s check the number of sheep I have. Wow, it’s 344! The number doesn’t end in two zeros, so we need to check its divisibility with the other rule.
We will look at the last two digits again, but this time we will check if the number they form is divisible by four. The last two digits of 344 are 44. Let’s try dividing 44 by four and see if the remainder is zero. Yes, the remainder is zero, which means that our original number, 344, is also divisible by four. Awesome! All the stables will be full. I’ll have to work hard before winter comes; I don’t want my woolly friends to be cold. Now, let’s go to the chicken area!
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Numbers divisible by eight:
There are 2856 hens, and believe it or not, I know all of their names too! I’m going to build eight cedar coops; it’s the perfect number for them to be comfortable. But I have the same question as before: will any chicken coop be incomplete? To eliminate any doubt, I will use the divisibility rule of eight. With such a large number, it will be very useful.
To find out which numbers are divisible by eight, we need to look at the last three digits and see if they meet one of the two criteria for the divisibility rule of eight. First, we will check if the last three digits are three zeros. The last three digits of our number are 856, so this criterion is not met.
Now, for the second rule, we will check if the last three digits are divisible by eight. We need to divide them by eight and look at the remainder. The remainder of 856 divided by eight is zero, which means it is a perfect division. This indicates that 2856 is divisible by eight, and therefore no chicken coop will be incomplete. That’s quite a few! I’ll ask the whole Divisor family for help.
Well, I’ll start now; I have a lot of work ahead of me, and winter is coming. Why don’t you stop by my family’s restaurant? It’s called Divisor Diners. My brother Taylor is the owner, and I’m sure he’d love to meet you. He also uses some very interesting divisibility rules, and you’ll have a great time!
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We’ve learned so much in just one video! Did you know there are many more videos? Imagine how much you could learn! Subscribe to the Smile and Learn educational channel to learn and have fun at the same time.
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This version maintains the essence of the original transcript while ensuring clarity and appropriateness.