ClassX Video Lessons Youtube Channel TutoringHour Multiplication with Arrays | Multiplication Models | Multiplication Video for Kids
Hello and welcome! Today, we’re going to learn about multiplication using something called arrays. Arrays are a fun way to see how multiplication works by arranging objects in rows and columns. Let’s dive in and explore this together!
Imagine you have a box of donuts. These donuts are lined up in neat rows and columns. This arrangement is what we call an array. Arrays help us count objects quickly and easily using multiplication.
Let’s look at our donut box. We have three rows of donuts, and each row has two donuts. Instead of counting each donut one by one, we can use multiplication. We can say there are three groups of two donuts. So, we multiply 3 (rows) by 2 (donuts in each row) to get 6 donuts in total.
Now, let’s make an array with apples. If we have three rows and each row has four apples, we can write this as a multiplication problem: 3 times 4. When we multiply 3 by 4, we get 12 apples in total.
What if we flip our apple array? Now, we have four rows with three apples in each row. The multiplication problem becomes 4 times 3. Guess what? The answer is still 12! This shows us something cool called the commutative property of multiplication, which means changing the order of numbers doesn’t change the answer.
Arrays are everywhere! Look at the saplings planted in rows. If there are four rows with five saplings in each, we can multiply 4 by 5 to find out there are 20 saplings.
How about bikes parked in rows? If there are five rows with ten bikes in each, we multiply 5 by 10 to find there are 50 bikes in total. See how easy that is?
Let’s look at a carton of eggs. If there are three rows with five eggs in each, we multiply 3 by 5 to find there are 15 eggs. Easy peasy!
Now that you know how to use arrays for multiplication, look around you. Can you find arrays in your home or school? Practice making multiplication sentences with them. It’s a fun way to get better at math!
Thanks for learning with us today. Keep exploring and practicing, and you’ll be a multiplication whiz in no time. Goodbye!
Array Hunt: Go on an array hunt around your home or classroom. Look for objects arranged in rows and columns, like egg cartons, chocolate boxes, or tiles on the floor. Count the rows and columns, then write a multiplication sentence for each array you find. For example, if you find a chocolate box with 3 rows and 4 chocolates in each row, write down “3 x 4 = 12”. Share your findings with a friend or family member!
Build Your Own Array: Use small objects like buttons, coins, or blocks to create your own arrays. Try making different arrays with the same number of objects. For example, if you have 12 blocks, arrange them in different ways, such as 3 rows of 4 blocks or 4 rows of 3 blocks. Notice how the total number of blocks stays the same. Discuss with a partner how the commutative property of multiplication works with your arrays.
Array Art: Create a piece of art using arrays! Draw or use stickers to make a picture that includes arrays. For example, you could draw a garden with rows of flowers or a parking lot with rows of cars. Label each array with a multiplication sentence. Display your artwork and explain the arrays to your classmates or family members.
**Sanitized Transcript:**
[Music]
Multiplication with Arrays
Hello and welcome to Tutoring Hour! I am Larry. In this video, I will show you how to find the number of objects in an array using multiplication. Let’s get started on the lesson.
Here’s our first example: a box of donuts. Did you notice the donuts are arranged in rows and columns? This arrangement of objects in rows and columns is called an array.
Now, let’s count the number of rows in this array. There are one, two, and three rows of donuts. How many donuts are in each row? One, two. There are two donuts in each row. To find how many donuts there are in total, we can either count the donuts one by one or add two plus two plus two. We can also view the array as three groups of two donuts and form the multiplication equation as three times two. The answer is six donuts.
Let’s move on to creating an array of apples for the problem three times four. Here’s my basket of apples. We take three as the number of rows and four as the number of objects in each row. I’ll put one, two, three, and four apples in the first row, one, two, three, and four apples in the second, and one, two, three, and four apples in the third.
Here’s our array of three rows with four apples in each. Let’s put this in multiplication syntax: three times four is equal to twelve.
Now, let’s try flipping our array. We’ll have four as the number of rows and three as the number of apples in each row. The equation would be four times three is equal to twelve. The array would look like this, but the number of apples would remain the same, as four times three is also equal to twelve. Changing the order of factors in the equation doesn’t change the product; this is referred to as the commutative property of multiplication.
Let’s explore and look around for some more real-life arrays. Did you see the saplings arranged neatly? Can you tell how many saplings there are? Let me pull out my book and build the multiplication equation. First, we have four rows with five saplings in each, so our multiplication sentence will be four times five. And what is the answer? Twenty. There are 20 saplings here.
That was pretty quick!
Let me park my bike. Do you see an array here? Can you tell how many bikes there are in total? Counting them one by one would be tedious, so what we can do instead is multiply. First, let’s find out how many rows of bikes there are. We have five rows. How many bikes are in each row? There are ten bikes in each row. It’s five times ten, and the answer is 50. There are 50 bikes parked here in total. Wasn’t that simple?
Let’s move on to our last example: a carton of eggs. There are three rows of five eggs. Let’s write our multiplication equation: three times five. How many eggs will that be? Fifteen eggs. There are 15 eggs in the carton. That was easy!
I’m done with my shopping, but you don’t have to stop exploring. Look out for the arrays around you and practice multiplication. Visit www.tutoringhour.com if you want to put your newfound knowledge to the test.
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