Welcome to Divisor Diner! Are you ready to learn some cool math tricks while enjoying a delicious meal? I’m Taylor Divisor, and today, I’ll show you how to use divisibility rules to make sure we have enough ingredients for our dishes. Let’s dive in!
Divisibility rules help us quickly figure out if one number can be divided by another without leaving any leftovers, or remainders. When a number can be divided evenly, the number we divide by is called the divisor. Today, we’ll focus on the divisibility rules for 6 and 12.
Let’s start with the number 6. Imagine we need to add six olives to each salad, and we have 108 olives. To see if 108 can be divided by 6, we need to check two things: if it’s divisible by 2 and by 3.
To check if a number is divisible by 2, look at the last digit. If it’s even (like 0, 2, 4, 6, or 8), then it works! The last digit of 108 is 8, which is even, so 108 is divisible by 2.
To see if a number is divisible by 3, add up all its digits. For 108, we add 1 + 0 + 8, which equals 9. Since 9 is divisible by 3, 108 is also divisible by 3.
Since 108 is divisible by both 2 and 3, it is also divisible by 6. Perfect for our salads!
Next, let’s check if we have enough blueberries for our famous tarts. We have 144 blueberries and need to make sure this number is divisible by 12. For 12, we check divisibility by 3 and 4.
Just like before, add the digits of 144: 1 + 4 + 4 = 9. Since 9 is divisible by 3, 144 is divisible by 3.
To check for 4, look at the last two digits of the number. For 144, that’s 44. Divide 44 by 4, and you get 11 with no remainder. So, 144 is divisible by 4.
Since 144 is divisible by both 3 and 4, it’s also divisible by 12. Now we can make our delicious blueberry tarts!
Divisibility rules are super handy! They help us simplify fractions, figure out if numbers are prime, and solve many math problems more easily. Plus, they’re fun to learn and use!
Thanks for visiting Divisor Diner! We hope you enjoyed learning about divisibility rules. Remember, there are many more fun videos to explore. Keep learning and having fun!
Olive Counting Game: Gather a collection of small objects like buttons or beads to represent olives. Ask the children to group them into sets of 6. Can they do it without any leftovers? Try with different numbers of “olives” like 24, 30, or 35. Discuss which numbers can be divided evenly by 6 and why.
Blueberry Tart Challenge: Use a set of 12 small items, like coins or blocks, to represent blueberries. Ask the children to divide them into groups of 3 and then into groups of 4. Can they do it without any leftovers? Encourage them to try with different numbers like 36 or 48. Discuss why some numbers work and others don’t.
Divisibility Detective: Give the children a list of numbers, such as 18, 24, 30, 42, and 60. Ask them to be “divisibility detectives” and use the rules they learned to determine which numbers are divisible by 6 and which are divisible by 12. Encourage them to explain their reasoning for each number.
Sure! Here’s a sanitized version of the transcript:
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[Music]
Good evening! Welcome to Divisor Diner. Would you like a table for dinner?
Oh, hey! It’s you, who’s been helping my brothers. I’m the oldest; my name is Taylor Divisor. I don’t want to bother you, but could you give me a hand? My customers love my olive salad and my famous blueberry tart, but I would like to know if any of the dishes will be missing ingredients. To find out, I will use the divisibility rule.
Do you want me to remind you? The divisibility rules allow us to know quickly if a number is divisible by another. That is, if dividing one number by another results in a remainder of zero. When a number is divisible by another number, the number that we have divided by is known as its divisor.
Come on, I’ll teach you the divisibility rules for six and twelve!
**Numbers Divisible by Six:**
The recipe says that we have to add six olives to each salad, so we will apply the divisibility rule of 6, which is my favorite! The divisibility rule for 6 is something special; I love to calculate it as a family.
There are 108 olives. To find out if this number is divisible by six, we have to check if it meets the divisibility rules of two and three.
Let’s start with the rule of two. Remember, we have to check if the last digit is even. Our number ends in eight, which is an even number, so the rule of two is met.
Now, let’s check the rule of three. Do you remember how to find out if a number is divisible by three? First, we have to add its digits. Our result is nine. Since the number nine is divisible by three, the number one hundred and eight is also divisible by three.
Now we know that one hundred and eight is divisible by two and also by three. That means it is also divisible by six. So when we add olives to the salads, each salad will have six delicious olives.
[Music]
**Numbers Divisible by Twelve:**
The restaurant’s most famous dishes are twelve blueberry tarts, and there are 144 blueberries. The easiest way to know if a number is divisible by 12 is to check if it is divisible by 3 and also by 4.
First, let’s apply the divisibility rule of three as we did before. Let’s add the numbers. The result is nine again. We know that nine is divisible by three, so 144 is divisible by three.
Now let us try the divisibility rule of four. As my brother Trevor explained, we have to look at the last two digits of a number to find out its divisibility by four. The last two digits are not two zeros, so we will check if the number 44 is divisible by four.
Let’s divide. The remainder is zero, so 44 is divisible by four, which means our original number is divisible by four. 144 is divisible by four.
Let’s go back into the kitchen. Since 144 is divisible by 3 and 4, that means it is also divisible by 12—just what we needed! Each tart will be complete.
We enjoyed meeting you! We hope you learned a lot about the divisibility rules. They are very useful. In addition, they will also be helpful in your math classes at school because they give us many clues to simplify fractions, know if a number is prime, and a lot of other things.
Now enjoy your dinner at Divisor House!
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