Hello, friends! Are you ready to learn how to solve combined operations in math? Let’s dive in and have some fun!
Combined operations are math problems that use different math actions like adding, subtracting, multiplying, and dividing. Sometimes, these problems have parentheses, and sometimes they don’t. It’s important to know the right order to solve them!
To solve these problems, we follow something called the “order of operations.” Here are the two main rules:
First, solve anything inside the parentheses. Parentheses are like little helpers that tell us what to do first!
If there are no parentheses, or if you’ve already solved them, then do the multiplications and divisions first. After that, do the additions and subtractions, in the order they appear.
Imagine we have this problem: 6 – 4 × 2 + 3 ÷ 2 – 1.
First, we look for multiplications and divisions:
Now, we do the additions and subtractions in order:
The answer is -1.5. Easy, right?
Here’s another problem: (5 + 2) – (2 × 2) + 1.
First, solve what’s inside the parentheses:
Now, do the additions and subtractions in order:
The answer is 4. Simple, isn’t it?
If you remember these two rules, you’ll be a pro at solving combined operations! Keep practicing, and you’ll get even better. See you next time!
Did you know there are many more fun math videos out there? Imagine how much you could learn! Keep exploring and have fun learning!
Math Detective: Become a math detective and find examples of combined operations in your daily life. Look for numbers and operations in places like grocery shopping receipts, cooking recipes, or even in games. Write down one example you find and try to solve it using the order of operations. Share your example with a friend or family member and explain how you solved it!
Order of Operations Game: Create a simple board game using a piece of paper and some markers. Draw a path with different math problems involving combined operations. Use dice to move along the path. When you land on a space, solve the problem using the order of operations. If you solve it correctly, you can stay on that space; if not, move back two spaces. Play with a friend or family member and see who reaches the end first!
Operation Art: Use colored pencils or crayons to create a piece of art that represents the order of operations. Draw symbols like parentheses, multiplication signs, and division signs in different colors. As you draw, think about how each part of the order of operations helps you solve math problems. Share your artwork with your class and explain what each part represents.
Sure! Here’s a sanitized version of the transcript:
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[Music]
Hello friends! Do you know how to solve combined operations? Come with me, and I’ll show you!
Combined operations are defined as operations that involve several different operations, such as addition, subtraction, multiplication, and division. They can be with or without parentheses, and it is important to know the proper order to solve them.
To solve combined operations, we have to follow an order that we call the order of operations. There are two essential rules to keep in mind:
**Rule number one:** The first thing to do is solve the operations that appear inside the parentheses.
**Rule number two:** If there are no parentheses or we have already solved them, then we will solve first the multiplications and divisions, followed by the additions and subtractions, in the order that they appear.
I’ll explain it to you with a few examples. You’ll see how easy it is!
We’ll start with an operation without parentheses. Since there are no parentheses, we first identify the multiplications and divisions, following rule number two. Once we have identified them, we will solve them: four times two equals eight, and two divided by two equals one.
Now we only need to do the additions and subtractions in the order that they appear: six minus eight equals minus two, minus two plus three equals one, and one minus one equals zero. The answer is zero. Easy, isn’t it?
[Applause]
Now I will show you an example of an operation with parentheses. What do we have to solve first? Correct, what’s inside the parentheses! So we will follow rule number one. We’ll start solving the addition and multiplication found inside the parentheses: five plus two equals seven, and two times two equals four.
Finally, we’ll solve the additions and subtractions in the order that they appear: seven minus four equals three, and three plus one equals four. The answer is four. Simple, isn’t it?
[Applause]
If you apply these two rules, you will never again have problems with the order of combined operations. See you soon!
[Music]
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[Music]
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