Welcome to the Smile Food Shop! I’m Connor, and today we’re going to learn a cool math trick called divisibility rules. These rules help us figure out if one number can be divided by another without leaving any leftovers. Today, we’ll focus on dividing by 3 and 9.
To see if a number can be divided by 3, we add up all its digits. If the sum is divisible by 3, then the whole number is too! Let’s try this with some oranges.
We have 4,175,676 oranges. Let’s add the digits:
Now, let’s check if 36 is divisible by 3. When we divide 36 by 3, there’s no remainder, so 36 is divisible by 3. This means we can pack the oranges in boxes of 3 without any leftovers!
If the sum is a big number, we can add its digits again. For 36, we add:
Since 9 is divisible by 3, our trick works!
Now, let’s talk about dividing by 9. We have 361,017 bananas to pack, and we want to see if we can pack them in boxes of 9.
Just like with 3, we add the digits:
When we divide 18 by 9, there’s no remainder, so 18 is divisible by 9. This means we can pack the bananas in boxes of 9 without any leftovers!
If the sum is big, we can add its digits again. For 18, we add:
Since 9 is divisible by 9, our trick works again!
Now you know how to use divisibility rules to make packing fruit easier! If you want to learn more cool math tricks, visit my brother Trevor’s organic farm or check out more videos on the Smile and Learn educational channel. Happy learning!
Fruit Basket Challenge: Gather a collection of small objects like buttons, beads, or actual fruit pieces. Group them into sets of 3 and 9. Count the total number of objects in each group. Use the divisibility rules to check if the total number of objects can be evenly divided by 3 or 9. Discuss with your friends or family how you determined the divisibility.
Number Detective: Pick any number between 1 and 100. Add up the digits of your chosen number. Use the divisibility rule to determine if your number is divisible by 3 or 9. Write down your findings and share them with your classmates. Can you find a pattern in the numbers that are divisible by 3 or 9?
Divisibility Hunt: Go on a hunt around your home or classroom to find numbers on items like books, clocks, or labels. Use the divisibility rules to check if these numbers are divisible by 3 or 9. Create a chart to record your results and see how many numbers you can find that fit the rules!
Sure! Here’s a sanitized version of the transcript:
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Hello! Welcome to Smile Food Shop, where you can find the best fruit on the market. My name is Connor, and I’m preparing boxes of fruit to send to the neighborhood soup kitchen. I want to check if I have any leftover pieces of fruit after packing them in boxes. I will use a trick my brother Windsor taught me: the divisibility rules.
The divisibility rules help us quickly determine if one number is divisible by another, meaning that when we divide one number by another, the remainder is zero. When a number is divisible by another, the number we divided by is known as its divisor. Today, we’ll focus on numbers that are divisible by three and nine.
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To find out if a number can be divided by three, there’s a neat trick: we add up all the digits, and if the result is divisible by three, then the original number is too.
Let’s see how this works with the oranges we have. There are 4,175,676 oranges to sort. That’s a huge number, but we can handle it step by step.
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. Dividing 36 by 3 gives us a remainder of 0, which means 36 is divisible by three. Since 36 is the result of adding the digits of the oranges, this means there will be none left over if we pack three in each box.
But what if we get a very large number? In that case, we can add the digits of the result again to get a smaller number. If that smaller number is divisible by three, then the original number is also divisible by three.
When we added the number of oranges, we got 36. If we add the digits of 36, we get:
3 + 6 = 9.
Since 9 is divisible by three, our theory holds true!
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Now, let’s talk about numbers divisible by nine. We also have bananas to send. There are 361,017 bananas, and we will send nine per box. Let’s see if we have any left over.
The divisibility rule for nine is calculated the same way as for three. We add the digits, divide the result by nine, and check for a remainder of zero.
Let’s do the math:
3 + 6 = 9
9 + 1 = 10
10 + 7 = 17
Now, we divide:
Since the remainder is 0, 18 is divisible by 9, which means the number of bananas is also divisible by nine. Therefore, we won’t have any bananas left over when we pack them.
As with the rule for three, if the sum is too large, we can add the digits again. The previous sum gave us 18, and:
1 + 8 = 9.
Since a number is always divisible by itself, we’ve solved the banana problem!
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I’ll be here for a while loading these boxes. In the meantime, why not visit my brother Trevor’s organic farm? I’m sure he could explain some divisibility rules you might not know yet. See you soon!
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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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