ClassX Video Lessons Youtube Channel Smile and Learn English PERCENTAGES and POWERS???????? Math for Elementary School Childrean ???? Compilation
Hello friends! Welcome to my pastry shop. Today, we’re going to learn about percentages and powers in a fun and easy way!
A percentage is a way to express a number as a part of 100. We use the symbol (%) to show percentages, and it means “for every 100 parts.” For example, if we have 100 cakes and 80 of them are chocolate, we say 80% of the cakes are chocolate. This means that out of every 100 cakes, 80 are chocolate.
Percentages are super useful, especially when shopping. They help us calculate discounts and save money. Let’s learn how to calculate percentages!
To find the percentage of a number, multiply the number by the percentage and then divide by 100. Let’s try an example:
Imagine I baked 50 cookies, but 30% of them got burned. How many cookies is that? First, multiply 30 by 50 to get 1500. Then, divide 1500 by 100, which equals 15. So, 15 cookies got burned.
Now, let’s try a discount example. A strawberry cake costs $20, and there’s a 10% discount today. How much will the cake cost? Find 10% of 20 by multiplying 10 by 20 to get 200, then divide by 100 to get 2. The discount is $2, so the cake will cost $18 today.
Now, let’s talk about powers! A power is a way to show a number multiplied by itself several times. We write powers with two numbers: the base and the exponent.
We read powers like this: “five raised to the power of four.” The big number is the base, and the small number is the exponent. For example, “six raised to the power of three” means 6 is the base and 3 is the exponent.
The exponent tells us how many times to multiply the base by itself. For example, 2 to the power of 3 means 2 times 2 times 2, which equals 8.
Let’s try another example: 3 to the power of 4. Multiply 3 by itself four times: 3 times 3 is 9, 9 times 3 is 27, and 27 times 3 is 81. So, 3 to the power of 4 is 81.
Want to try one? Calculate 4 to the power of 3. Multiply 4 by itself three times: 4 times 4 is 16, and 16 times 4 is 64. So, 4 to the power of 3 is 64. Great job!
Here’s a cool tip: when a number is raised to the power of 2, we say it’s “squared.” For example, 4 squared is 4 to the power of 2. When a number is raised to the power of 3, we say it’s “cubed.” So, 5 cubed is 5 to the power of 3.
Now you know all about percentages and powers! Keep practicing, and you’ll become a math whiz in no time. See you soon, friends!
Imagine you are shopping with a budget of $100. Create a list of items you want to buy, each with a price and a discount percentage. Calculate the discounted price for each item and see how much you can buy without exceeding your budget. This will help you practice calculating percentages and understand how discounts work in real life.
Draw a large circle on a piece of paper and divide it into 100 equal parts to represent 100 cookies. Color in a certain percentage of the cookies to show how many are chocolate, vanilla, or any other flavor you like. This visual activity will help you understand how percentages represent parts of a whole.
Use building blocks or LEGO bricks to create towers that represent different powers. For example, build a tower with 2 blocks, then 4 blocks, then 8 blocks to show 2 to the power of 1, 2, and 3. This hands-on activity will help you visualize how powers work and how quickly numbers grow.
Create a puzzle by writing different powers on index cards, such as 32, 43, and 52. On separate cards, write the answers (9, 64, and 25). Mix them up and match each power with its correct answer. This will reinforce your ability to calculate powers and recognize squared and cubed numbers.
Write a short story that includes both percentages and powers. For example, a story about a baker who uses percentages to calculate discounts on cakes and powers to determine the number of layers in a cake. Share your story with a friend and solve the math problems together. This will help you apply what you’ve learned in a creative way.
Sure! Here’s a sanitized version of the transcript:
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Hello friends! Welcome to my pastry shop. Today, we’re going to learn how to calculate percentages. A percentage is an amount expressed as a number of parts of something divided into 100 parts. The symbol we use to indicate percentage is this sign (%), and we read it as “percent,” which means “for every 100 parts.”
Let’s look at an example. Here we have 100 cakes, and 80 percent of them are chocolate cakes. We can express this by saying that for every 100 cakes, 80 are chocolate cakes. The number of elements doesn’t have to be 100. Let’s look at 50 cakes, for example. Eighty percent of them are chocolate cakes too.
We use percentages to calculate all types of discounts for products on sale. You can save a lot of money if you learn how to calculate percentages. Great! Now that we know what percentage means, let’s find out how to calculate it.
To calculate the percentage of a number, we multiply that number by the indicated percentage and divide by 100. Let’s look at an example. Oops! What bad luck! I had to bake 50 cookies but got distracted explaining percentages, and 30 of my cookies got burned. How many cookies actually got burned?
To find out, first, we should multiply 30 by 50. This equals 1500. Then we divide this result by 100, which equals 15. So, if 30 percent of my 50 cookies got burned, that means that I burned 15 cookies. Did you understand that? Let’s try with another example.
Just for today, the strawberry cakes have a 10% discount. Their original price is $20. How much would each strawberry cake cost after the 10% discount? Well, we just have to find 10% of 20. Are you ready? I’m going to give you a few seconds to calculate that.
Do you have the answer? Ten percent of 20 is 2. You got that right! Let’s see: 10 times 20 equals 200, and 200 divided by 100 equals 2. If ten percent of twenty dollars is two, each strawberry cake comes with a discount of two dollars. This means that just for today, the price of this cake will be $18 because we subtracted the ten percent discount (which is two dollars) from the original price of twenty dollars.
You did great! Now you know what a percentage means and how to calculate it. Oh no, not again! I’ve burned more cookies. See you soon, friends!
Hello friends! I just made a video for my math channel. It turned out great! It’s about calculating powers. Do you know how to calculate them? Don’t worry, just click play, and you’ll see how easy it is.
Hello again, math friends! Today we’re going to explain powers. A power is a short way to represent a multiplication operation made up of several same numbers. Look, this is how we write powers. I hope you’ve seen something like this before. A power is made up of two numbers: the big one here and the little one here.
So how do we read powers? It’s very easy! We read them like this: “five raised to the power of four.” First, we read the bigger number, then we say “raised to the power of” and read the smaller number up here. Easy, right?
How would you read this power: “six raised to the power of three”? Well done! And this one: “eight raised to the power of six”? Awesome! How about this one: “ten raised to the power of eight”? You got this! The bigger number is called the base. Repeat after me: base. Great! The smaller number is called the exponent. Repeat after me: exponent. Way to go!
Now let’s see how we calculate powers. The exponent tells us the number of times we should multiply the base by itself. Let’s look at the example we have on the screen: 2 to the power of 3. As we said before, the base of this power is 2, and the exponent is 3, which is the number of times we should multiply the base.
So, 2 to the power of 3 is 2 times 2 times 2, which equals 8. This means that 2 to the power of 3 is 8. The result of this multiplication is called power. Easy, right?
Let’s look at another example. This one is easy: 3 to the power of 4. What do we need to do? We need to multiply the base by itself the number of times indicated by the exponent. This means that we should multiply 3 by itself four times.
Let’s look at the result: three times three times three times three equals… Hmm, maybe it’s better to multiply separately. Three times three is nine, nine times 3 is 27, and 27 times 3 is 81. Awesome! 3 to the power of 4 is 81. Would you like to try doing one yourself? Calculate this power: 4 to the power of 3.
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Time’s up! Do you have the answer? Let’s see. To calculate 4 to the power of 3, we should multiply 4 by itself 3 times. 4 times 4 is 16, and 16 times 4 is 64. So, 4 to the power of 3 is 64. Well done, everyone!
Here’s a little secret: did you know that when a number is raised to the power of two or three, it can be read differently? [Music] When a number is raised to the power of two, we can also say “squared.” For example, 4 raised to the power of 2 or 4 squared. Remember this expression; it is used very often.
Also, when a number is raised to the power of 3, we can say “cubed.” So this would be 5 raised to the power of 3 or 5 cubed. We use this expression a lot as well, so don’t forget it!
My video looks great! I’m going to upload it to my channel so that children from all over the world can learn about powers. See you soon!
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We’ve learned so much in just one video! Did you know there are many more videos? Imagine how much you could learn! Subscribe to the Smile and Learn educational channel to learn and have fun at the same time.
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Let me know if you need any further modifications!
Percentages – A way of expressing a number as a fraction of 100 – Example sentence: If you score 80 out of 100 on a test, you have achieved 80 percent, or 80%.
Powers – The result of multiplying a number by itself a certain number of times – Example sentence: In the expression 3^4, the number 3 is raised to the power of 4, which equals 81.
Base – The number that is going to be raised to a power – Example sentence: In the expression 5^3, the base is 5.
Exponent – The number that indicates how many times the base is multiplied by itself – Example sentence: In the expression 2^5, the exponent is 5, meaning 2 is multiplied by itself 5 times.
Multiply – The process of adding a number to itself a certain number of times – Example sentence: When you multiply 4 by 3, you add 4 three times to get 12.
Divide – The process of splitting a number into equal parts – Example sentence: If you divide 20 by 4, you get 5, because 20 split into 4 equal parts is 5.
Calculate – To find an answer using mathematical processes – Example sentence: You can calculate the total cost by adding the prices of all the items.
Discount – A reduction in the usual price – Example sentence: If a $50 item has a 10% discount, you save $5, making the price $45.
Squared – A number multiplied by itself – Example sentence: The number 6 squared is 36, because 6 times 6 equals 36.
Cubed – A number multiplied by itself twice more – Example sentence: The number 2 cubed is 8, because 2 times 2 times 2 equals 8.
