ClassX Video Lessons Youtube Channel TutoringHour Divisibility Rules for 3, 6, and 9 | 3 Shortcuts in 3 Minutes
Welcome to a fun lesson on divisibility rules! Today, we’re going to learn some cool tricks to figure out if a number can be divided by 3, 6, or 9 without leaving any leftovers. Let’s dive in and explore these rules together!
First, let’s talk about the rule for 3. To check if a number is divisible by 3, you simply add up all the digits of the number. If the total can be divided by 3 without any remainders, then the whole number is divisible by 3!
For example, let’s see if 618 is divisible by 3. Add the digits: 6 + 1 + 8 = 15. Since 15 can be divided by 3 (15 ÷ 3 = 5), 618 is divisible by 3!
Now, let’s try another number: 1,369. Add the digits: 1 + 3 + 6 + 9 = 19. Since 19 cannot be divided by 3 evenly, 1,369 is not divisible by 3.
Next, let’s learn about the rule for 6. A number is divisible by 6 if it meets two conditions: it must be divisible by both 2 and 3.
Let’s check if 7,284 is divisible by 6. First, look at the last digit. It’s 4, which is even, so it’s divisible by 2. Now, add the digits: 7 + 2 + 8 + 4 = 21. Since 21 is divisible by 3, 7,284 is divisible by 6 because it meets both conditions!
Let’s try another number. If the last digit is 8, it’s even, so it’s divisible by 2. Add the digits: 2 + 0 = 20. Since 20 is not divisible by 3, this number is not divisible by 6.
Finally, let’s explore the rule for 9. This rule is similar to the rule for 3. Add up all the digits of the number, and if the sum is divisible by 9, then the number is too!
For example, let’s see if a number is divisible by 9. Add the digits: 2 + 7 = 9. Since 9 is divisible by 9, the number is divisible by 9!
Let’s check another number. Add the digits: 2 + 5 = 7. Since 7 is not divisible by 9, this number is not divisible by 9.
These simple tricks can help you quickly determine if a number is divisible by 3, 6, or 9. Keep practicing, and you’ll become a divisibility expert in no time!
Thanks for learning with us, and remember to keep exploring and having fun with numbers!
Number Detective: Go on a number hunt around your home or classroom. Find different numbers on items like books, clocks, or calendars. Use the divisibility rules you learned to check if these numbers are divisible by 3, 6, or 9. Write down your findings and share them with a friend or family member. Can you find a number that is divisible by all three?
Divisibility Dice Game: Create a fun game using dice. Roll two dice to create a two-digit number. Add the digits together and use the divisibility rules to check if the number is divisible by 3, 6, or 9. Keep track of how many numbers you find that are divisible by each. Try to find at least one number for each rule!
Divisibility Art: Draw a picture using numbers. Choose a number and write it in the center of your paper. Then, draw lines to connect it to other numbers that are divisible by 3, 6, or 9. Use different colors for each rule. Share your artwork with the class and explain how you used the divisibility rules to create your masterpiece.
Sure! Here’s a sanitized version of the YouTube transcript:
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Hello and welcome to Tutoring Hour! In this video, we’ll explore the divisibility rules for the numbers 3, 6, and 9.
Let’s start with the divisibility rule for 3. We’ll check if 618 is divisible by 3. According to the rule, we add up all the digits and divide the sum by 3. If there are no remainders, the number passes the divisibility test for 3. The sum of the digits here is 15, which is a multiple of 3. Hence, 618 is divisible by 3.
Now, let’s try the rule on another number. The sum of the digits is 19, which is not divisible by 3. Therefore, 1,369 is also not divisible by 3.
That was a pretty simple rule! Now, let’s check if 7,284 is divisible by 6. The rule states that if a number is divisible by both 2 and 3, then it is also divisible by 6.
Recalling the divisibility rule for 2 and 3, we can see that it is even, so it is divisible by 2. However, we still need to check if it is divisible by 3. Adding the digits gives us a sum of 21, which is divisible by 3. Since the number meets both conditions, it is divisible by 6.
Let’s test one more number. The last digit is 8, indicating it is divisible by 2, so the first condition is satisfied. Now, let’s check if it is divisible by 3. Adding all the digits gives us 20, which is not divisible by 3. Therefore, this number is not divisible by 6.
Next, we’ll test for divisibility by 9. Let’s see if this number is divisible by 9. The rule for 9 is similar to that for 3: we add up all the digits and divide by 9. The sum of the digits is 27, which is divisible by 9. Alternatively, we can simplify the process by repeatedly adding the digits until we reach a single digit. In this case, 2 + 7 equals 9, confirming that the number is divisible by 9.
Let’s check one more number. Adding the digits gives us 25. Repeating the process, we add 2 and 5, resulting in 7. Therefore, this number is not divisible by 9.
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