Welcome to Smile and Learn! Today, we’re diving into the world of numbers to find out how we can tell if a number is divisible by 12. Imagine you’re at a restaurant famous for its delicious 12 blueberry tarts, each made with a total of 144 blueberries. Let’s explore how we can use math to understand this better!
To figure out if a number can be divided by 12 without leaving any leftovers, we need to check two things: if it’s divisible by 3 and by 4. Let’s break it down step by step.
First, we use the rule for 3. We add up all the digits of the number. For 144, we add 1 + 4 + 4, which equals 9. Since 9 can be divided by 3 evenly (because 9 Γ· 3 = 3), we know that 144 is divisible by 3.
Next, we check the rule for 4. We look at the last two digits of the number, which are 44 in this case. We need to see if 44 can be divided by 4 without any leftovers. When we divide 44 by 4, we get 11, with no remainder. This means 44 is divisible by 4, and so is 144.
Since 144 is divisible by both 3 and 4, it means 144 is also divisible by 12. That’s the magic of divisibility rules!
These rules are super helpful in math. They can make it easier to simplify fractions, find prime numbers, and solve many other math problems. Knowing these tricks can make your math classes more fun and less tricky!
We hope you enjoyed learning about divisibility rules. If you want to learn more cool math tricks and tips, check out more videos on the Smile and Learn educational channel. There’s always something new and exciting to discover!
Now, go enjoy your dinner and keep exploring the amazing world of numbers!
Grab a list of numbers and go on a scavenger hunt around your classroom or home. Your task is to find numbers that are divisible by 12. Use the rules for divisibility by 3 and 4 to check each number. Write down the numbers you find and share them with your classmates.
Imagine you are a chef at the restaurant with 144 blueberries. Create a puzzle where you divide the blueberries into groups that are divisible by 12. Draw your groups and explain how you used the divisibility rules to make sure each group has the same number of blueberries.
Form teams and have a relay race where each team member must solve a divisibility problem. Use numbers that are close to being divisible by 12 and apply the rules for 3 and 4. The first team to correctly solve all their problems wins!
Design a colorful poster that explains the rules for divisibility by 3 and 4. Include examples and illustrations to make it easy for others to understand. Display your poster in the classroom to help your classmates learn these important math tricks.
Write a short story about a character who uses divisibility rules to solve a problem. Maybe they need to divide items evenly among friends or solve a mystery using math. Share your story with the class and discuss how divisibility helped your character.
Sure! Hereβs a sanitized version of the transcript:
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Welcome to Smile and Learn! Today, weβre exploring numbers divisible by 12. One of the restaurant’s most famous dishes is the 12 blueberry tarts, which contain a total of 144 blueberries.
The easiest way to determine if a number is divisible by 12 is to check if it is divisible by both 3 and 4. First, letβs apply the divisibility rule for 3. We add the digits of the number: the result is 9. Since 9 is divisible by 3, we can conclude that 144 is divisible by 3.
Next, letβs check the divisibility rule for 4. As explained earlier, we need to look at the last two digits of the number. The last two digits of 144 are 44. We check if 44 is divisible by 4. When we divide, the remainder is zero, so 44 is divisible by 4. This means our original number, 144, is also divisible by 4.
Since 144 is divisible by both 3 and 4, it is also divisible by 12, which is exactly what we needed!
We hope you enjoyed learning about the divisibility rules. They are very useful and will help you in your math classes at school, as they provide clues for simplifying fractions, identifying prime numbers, and much more.
Now, enjoy your dinner!
If youβve learned a lot from this video, remember that 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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Divisibility – The ability of one number to be divided by another number without leaving a remainder. – Example sentence: To check the divisibility of 24 by 3, we see if 24 can be divided by 3 without any leftovers.
Number – A mathematical object used to count, measure, and label. – Example sentence: The number 7 is an odd number and is also a prime number.
Math – The study of numbers, quantities, shapes, and patterns. – Example sentence: In math class, we learned how to solve equations using algebra.
Digits – The symbols used to write numbers, which include 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. – Example sentence: The number 345 has three digits: 3, 4, and 5.
Rule – A guideline or principle that explains how something works in mathematics. – Example sentence: One rule in math is that the sum of the angles in a triangle is always 180 degrees.
Leftovers – The remainder left after division when a number does not divide evenly. – Example sentence: When dividing 10 by 3, the leftovers are 1 because 3 times 3 is 9, and 10 minus 9 is 1.
Fractions – Parts of a whole, represented with a numerator and a denominator. – Example sentence: The fraction 1/2 represents one part of a whole that is divided into two equal parts.
Prime – A number greater than 1 that has no divisors other than 1 and itself. – Example sentence: The number 5 is a prime number because it can only be divided by 1 and 5.
Tricks – Simple methods or shortcuts to solve mathematical problems more easily. – Example sentence: One of the tricks to multiply by 9 is to use your fingers to find the answer quickly.
Explore – To investigate or study a mathematical concept to understand it better. – Example sentence: We will explore different ways to solve algebraic equations in today’s math lesson.
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