Divisibility Rules for 4 and 8 | Handy Tricks

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In this lesson, we explored the divisibility rules for the numbers 4 and 8, learning that to determine if a number is divisible by 4, we only need to examine its last two digits, while for 8, we look at the last three digits. By applying these simple tricks, we can quickly assess divisibility without performing full division calculations. Practice is encouraged to master these rules and enhance numerical skills.
  1. What do you think the last two digits of a number tell us about its divisibility by 4?
  2. How can we use the last three digits of a number to find out if it is divisible by 8?
  3. Why do you think it’s important to learn about divisibility rules?

Divisibility Rules for 4 and 8 | Handy Tricks

Welcome to a fun lesson on divisibility rules! Today, we’re going to learn some cool tricks to find out if a number can be divided by 4 or 8 without leaving any leftovers, called remainders. Let’s dive in!

Divisibility Rule for 4

To check if a number is divisible by 4, we only need to look at the last two digits of the number. If these two digits can be divided by 4 without leaving a remainder, then the whole number is divisible by 4.

Let’s try this with the number 778. We take the last two digits, which are 78, and divide them by 4. When we do this, we get a remainder of 2. This means 778 is not divisible by 4.

Now, let’s test another number, 56. We take the last two digits, which are 56, and divide them by 4. This time, we get 14 with no remainder. So, 56 is divisible by 4!

Divisibility Rule for 8

The rule for 8 is a bit different. We need to look at the last three digits of the number. If these three digits can be divided by 8 without leaving a remainder, then the whole number is divisible by 8.

Let’s check the number 256. We take the last three digits, which are 256, and divide them by 8. We find that it divides perfectly with no remainder. This means 256 is divisible by 8!

Now, let’s try the number 874. We take the last three digits, which are 874, and divide them by 8. This time, we get a remainder of 2, so 874 is not divisible by 8.

Practice Makes Perfect!

These rules are pretty handy, right? You can practice more with these tricks to become a divisibility expert! If you want more fun exercises, check out tutoringhour.com for lots of practice materials.

Thanks for learning with us today! Keep practicing, and you’ll master these divisibility rules in no time!

  • Can you think of a number that you know is divisible by 4? How did you figure it out? Try using the rule we learned to check if you were right!
  • Imagine you have a big box of crayons with 256 crayons inside. If you wanted to share them equally with 8 friends, do you think everyone would get the same number of crayons? How can the divisibility rule for 8 help you find out?
  • Have you ever noticed numbers in your everyday life, like on a clock or a calendar? Can you find any numbers around you that might be divisible by 4 or 8? How can you use the rules we learned to check?
  1. Divisibility Detective: Go on a number hunt around your home or classroom. Find different numbers on items like books, clocks, or even cereal boxes. Write down the numbers you find and use the divisibility rules to check if they are divisible by 4 or 8. Share your findings with a friend or family member and explain how you determined the divisibility.

  2. Number Building Blocks: Use building blocks or LEGO pieces to create numbers. For example, stack blocks to form the number 248. Then, use the divisibility rules to check if your number is divisible by 4 or 8. Rearrange the blocks to create new numbers and test their divisibility. This hands-on activity helps you visualize and understand the concept better.

  3. Divisibility Story Time: Create a short story or comic strip about a character who uses divisibility rules to solve a mystery or complete a quest. Include examples of how they check if numbers are divisible by 4 or 8. Share your story with your class or family and see if they can spot the divisibility rules in action!

Here’s a sanitized version of the YouTube transcript:

Hello and welcome to Tutoring Hour! In this video, we’ll get acquainted with the divisibility rules for the numbers 4 and 8.

First, we’ll try the divisibility rule for 4 on the number 778. We need to pick the last two digits and divide them by 4. If it leaves no remainder, the number is divisible by 4. Let’s take the last two digits, 78, and divide them by 4. We are left with a remainder of 2. It is clear that 778 is not divisible by 4.

Now, we’ll check if our next number is divisible by 4. Dividing 56 by 4 gives us 14, and there is no remainder. This shows that the number is divisible by 4.

Now, this is an easy-to-remember rule, right? Moving on, it’s time to check out the divisibility rule for 8. We’ll test if this number is divisible by 8. According to the divisibility rule for 8, if the last three digits are divisible by 8, then the number is divisible by 8. The number 256, when divided by 8, leaves no remainder, indicating that the entire number is divisible by 8.

Let’s check if our next number is divisible by 8. 874, when divided by 8, leaves a remainder of 2, making it clear that it is not divisible by 8.

That was a pretty cool rule! If you want to practice this material, then tutoringhour.com is the place to be. If you enjoyed the video, give us a thumbs up! And if you haven’t yet subscribed to our channel, do that right now! Thanks for watching Tutoring Hour!

This version maintains the content while removing specific numerical formatting and ensuring clarity.

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