Hello everyone! Today, we’re going to have some fun with numbers. We have a special worksheet called “Let’s Regroup to Add.” Are you ready to learn something cool about math? Let’s get started!
In math, there’s a neat rule called the associative property. This rule tells us that three numbers can be grouped in different ways, and they will always give the same answer when we add them. For example, if we have the numbers 3, 2, and 5, we can add them in any order, and the answer will be the same. Like this:
Isn’t that amazing? We can even use subtraction with these numbers:
Now, let’s try adding bigger numbers like 18, 23, and 46. It might seem tricky, but we can make it easier by regrouping. Regrouping means we trade ones for tens to make adding simpler.
Let’s start with 18 plus 8. Imagine 18 as one long stick (which is 10) and eight little blocks (which are ones). When we add 8 more blocks, we can make a new group of ten. Let’s count:
Now, we have two long sticks (20) and six little blocks. So, 18 plus 8 equals 26. Let’s check by counting: 18, 19, 20, 21, 22, 23, 24, 25, 26. Yes, it works!
Next, let’s add 23 and 19. For 23, we have two long sticks and three blocks. For 19, we have one long stick and nine blocks. We can make another group of ten by taking one block from the nine. Now, we have:
So, 23 plus 19 equals 42. Let’s check: 23, 24, 25, …, 42. It matches!
Finally, let’s add 7 and 46. For 7, we have seven blocks. For 46, we have four long sticks and six blocks. We can regroup by adding three more blocks to make a new ten. Now, we have:
So, 7 plus 46 equals 53. Let’s check: 46, 47, 48, …, 53. Perfect!
Regrouping helps us see numbers more clearly and makes adding easier. It’s like solving a fun puzzle! I hope you enjoyed learning about regrouping as much as I did. See you next time for more math adventures!
Bye!
Build Your Own Number Blocks: Use building blocks or small objects like coins or buttons to represent numbers. Try creating groups of ten with these objects. For example, use 18 objects to represent the number 18, and then add 8 more objects. Can you regroup them to form new groups of ten? How many groups of ten can you make? This hands-on activity will help you understand how regrouping works in addition.
Number Grouping Game: Play a game with a friend or family member where you take turns picking three numbers between 1 and 10. Use the associative property to add them in different orders. For example, if you choose 3, 4, and 5, try adding them as (3 + 4) + 5 and then as 3 + (4 + 5). Do you get the same result? Discuss why this happens and how the associative property makes adding easier.
Regrouping in Real Life: Look around your home for examples of regrouping. For instance, when you have a dozen eggs, think about how many groups of ten and extra ones you have. Can you find other items that come in groups of ten? Share your findings with your class or family and explain how regrouping helps in organizing things.
Sure! Here’s a sanitized version of the transcript:
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Welcome to Kids Academy! Hello everyone! Let’s open the worksheet. Don’t forget to like this video and subscribe to our channel. You can find the link to this app in the comments below.
Today, we have a new worksheet titled “Let’s Regroup to Add.” I’m going to teach you about a rule in mathematics called the associative property. Basically, this means that three numbers can always go together. For example, if we take the numbers three, two, and five, they always relate to each other in the associative property.
This means we can mix up these numbers in different ways, and they will always yield the same result. For instance, three plus two equals five. If I switch the numbers, two plus three also equals five. We can even create subtraction problems, such as five minus three equals two, and five minus two equals three.
Now, these are smaller numbers, but today we will be using larger numbers like 18, 23, and 46, which can be a bit more challenging. The directions say to trade ones for tens and solve the addition problems, checking the correct sum.
Let’s start with our first example: 18 plus 8. I will illustrate what these numbers represent. Remember, a long stick represents ten, and individual units represent ones.
For 18, we have one long stick (10) and eight individual units (8). So, 10 plus 8 equals 18. Now, we need to solve for the answer. Instead of counting each unit, we can regroup.
We will find ten units among the ones and combine them to form a new group of ten. Let’s count: one, two, three, four, five, six, seven, eight, nine, ten. Now, we have one group of ten and six remaining units. So, we have 20 (two tens) plus 6, which equals 26.
Now, let’s verify if 18 plus 8 equals 26. We can count from 18: 18, 19, 20, 21, 22, 23, 24, 25, 26. Yes, it checks out!
Next, let’s move on to the next problem: 23 plus 19. We have two tens and three ones for 23, and one ten and nine ones for 19.
We can combine the ones to form another ten. So, we take one from the nine ones, which gives us three tens and two ones. This equals 42.
Now, let’s check that: 23 plus 19 equals 42.
Next, we have seven plus 46. For seven, we have seven individual units, and for 46, we have four tens and six ones.
To make it easier, we can regroup the seven by counting to ten. We circle three units to make a new column of ten. Now we have five tens and three ones, which equals 53.
So, seven plus 46 equals 53.
Regrouping helps us see the numbers more clearly and makes addition easier. I enjoyed this activity, and I hope you did too!
See you next time! Bye!
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