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Math for Kids23 chapters | 325 lessons

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Instructor:
*Dina Albert*

You use division more often than you realize. For example, when you share food with friends, split money with someone, or even slice a pizza, you're using division. In this lesson, you'll learn to recognize if a number is divisible by 5 simply by looking at it.

When a number is **divisible** it means that we can split it into equal groups without any remainder, or leftovers. For instance, if you and a friend want to share 4 cookies equally, each of you would get 2 cookies: 4 cookies / 2 people = 2 cookies per person. As there are no remainders, or leftovers, this means that 4 is **divisible** by 2.

Now imagine that 2 more friends came to join you, and the 4 of you want to share the 4 cookies. Well, 4 cookies / 4 people = 1 cookie per person. Again, as there's no remainder, we could also say that 4 is divisible by 4.

But how do we figure out other problems, such as whether or not 50 is divisible by 5? Drawing 50 cookies would take quite a long time. To make solving quicker and easier, we can apply the **divisibility rule of 5**, which states that if a number ends in 0 or 5, we can divide it by 5. In other words, we can make equal groups without a remainder.

Take look at these images, which test the divisibility rule of 5 for the number 5 and the number 10.

Imagine that 5 people want to share 50 chocolate bars. Before buying the chocolate bars, they want to make sure they can split them equally and have nothing left over.

To solve this problem, we will need to divide 50 by 5. Here, we can ask ourselves: How many times can we count by 5 until we get to 50? Let's see: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, or ten times. So, 50 / 5 = 10, with no remainder. The divisibility rule for 5 is true for the number 50, which ends in 0.

Now, what if there were 75 people in a lunchroom, and you want them to sit in groups of 5. How many tables would you need to set up?

The number 75 ends in a 5, which means it'll be divisible by 5. Let's test it by dividing 75 by 5 and asking ourselves: How many times can we count by 5 until we get to 75? Let's see: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75. In this case, we counted by five 15 times and have nothing left over. So, 75 / 5 = 15 with no remainder. Therefore the divisibility rule for 5 is true for 75.

The **divisibility rule for 5** states that any number ending in a 5 or a 0 is divisible by 5. In other words, we would be able to make equal groups without a remainder (nothing left over).

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Math for Kids23 chapters | 325 lessons

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