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Oh wow! Converting percentages to decimals - that sounds interesting!

Let me think about a real-life problem. My mom is planning to buy something at the store, and there's a 35% discount on a backpack I really want. But the price tag shows decimals, not percentages. So I need to figure out what 35% is as a decimal to help my mom calculate the discount amount!

Can you help me convert 35% into a decimal? I'm not sure where to start... 😊

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Your thinking is right! First, you can convert 35% to a fraction, which is 35/100. Then you can convert 35/100 to decimals, which is easy: the answer is 0.35!

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Forming decisions:

I can create, develop and defend solutions/decisions using supporting information.

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Oh, thank you so much! I'm really excited to learn about averages! 🎉

Actually, I have a question from something I saw in real life. Um... let me think of an example...

Okay, so last week, my friends and I collected coins from our piggy banks. I had 12 coins, my friend Alex had 18 coins, and my friend Sam had 15 coins.

My question is: How can we find out how many coins each of us would have if we shared all the coins equally?

I think maybe we need to add all the coins together first? So that would be 12 + 18 + 15 = 45 coins in total, right?

But then... um... I'm not sure what to do next. How do we figure out how many coins each person gets if we divide them equally? Can you help me? 😊

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Just divide 45 by 3!!!!And it equals 15!So everyone gets 15coins!

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Just divide 45 by 3!!!!And it equals 15!So everyone gets 15coins!

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Yes you are right!you should devide by three if you want to share the coins evenly since there are three of you

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Oh right! So we divide by 3 because there are three of us!

So... um... 45 ÷ 3 = 15 coins for each person?

Wait, let me check... 15 + 15 + 15 = 45. Yes, that works! 🎉

But um... can I ask you something? Why do we divide by the number of people? I mean, I understand we add all the coins together first to get the total, but why is dividing by 3 the right thing to do?

And... is this what "average" means? That we're finding how many coins each person would get if everything was equal?

Also, is 15 the average then? 😊

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Yes 15 is the average

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Yes! 15 is the average! Now let’s let me explain: we need to divide by3 because we have three piggy banks! We want there the same number of coin in all three piggy banks!

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Average is a summarize of few number .the middle of the few number

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Average is a summarize of few number .the middle of the few number

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Your mission is to:

1. Introduce a math topic to Koko.

2. Answer Koko's follow-up questions clearly and correctly.

3. Use proper maths language and show your thinking, just like a teacher would.

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How to Start the Conversation

Begin by saying hello and giving Koko a specific math topic we are learning about.

Good starters look like this:

"Hi Koko! Let's talk about area and perimeter."

"Hello Koko! I'd like to discuss fractions and decimals today."

"Hey Koko, can you ask me some questions about ratios?"

When Koko asks you a question, follow these three rules to give a fantastic answer:

Rule #1: Be Clear and Patient

Imagine you are explaining it to a friend who is confused.Don't just give the answer; explain how you got there.

Rule #2: Use Your Math Vocabulary

Show off the words you've learned!Instead of "the space inside," use "area." Instead of "the outside measurement," use "perimeter." Use words like numerator, denominator, evaluate, solve, equation, variable, etc.

Rule #3: Show Your Work (in words!)

Explain the steps you took to solve the problem.This is the most important part!

---

Let's See It In Action!

Here’s an example of a NOT-SO-GOOD answer and a SUPERSTAR answer.

Koko's Question: "If a rectangle has a length of 5 units and a width of 3 units, what is its area and perimeter?"

Not-So-Good Answer:

"Area is 15. Perimeter is 16."

Why it's not-so-good: It only gives the answers. Koko doesn't know if you guessed or if you truly understand.

SUPERSTAR Answer:

"Okay, let's break this down!

First, for the area, which is the space inside, I use the formula length times width.

So, I multiply 5 units by 3 units. That gives me 15 square units.

Next, for the perimeter, which is the distance around the shape, I use the formula 2 times (length + width).

So, I first add the length and width: 5 + 3 = 8 units.

Then I multiply that by 2: 2 x 8 = 16 units.

So, the area is 15 square units, and the perimeter is 16 units."

See the difference? The superstar answer is clear, uses math language, and shows all the steps!

Quick Summary

1. Start with a friendly greeting and a math topic.

2. Listen carefully to Koko's question.

3. Think about the steps and the math words you need.

4. Answer using the 3 Golden Rules:

· Be Clear & Patient

· Use Math Vocabulary

· Show Your Work

Remember, the goal is not just to get the right answer, but to explain your mathematical thinking. Have fun teaching Koko!

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Oh, hello! Thank you for teaching me today!

Wow, averages with more than 10 numbers? That sounds tricky! I think I remember learning about averages before - like when we share things equally. But I have a real-life question that I'm stuck on!

So, at my school, we had a test and the results were like this:

Test scores of 10 students:
85, 92, 88, 92, 90, 85, 88, 92, 90, 88

My teacher said we need to find the average score, but there are so many numbers to add! If I just add them all up like 85 + 92 + 88 + 92 + ... it will take forever!

Can you help me figure out a faster way to find the average of all these 10 numbers?

I noticed that some numbers repeat - like 92 appears 3 times, and 88 also appears 3 times. Can we use that somehow to make it easier? 🤔

What do you think is the best way to do this?

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You can try mul the numbers that reapeted like 88it appeared 3times so times 88 by 3and add your answer together then divid by ten

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Oh,you are right,you can just use multiplication to time the number of them

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Oh,you are right,you can just use multiplication to time the number of them

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We use multiplication for easier calculate 

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We use multiplication for easier calculate 

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To the first question, why we use multiplication is that multiply is like plus and it’s more clearly. and the 10 is the total data number so we should divide 10 at the very end.

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To the first question, why we use multiplication is that multiply is like plus and it’s more clearly. and the 10 is the total data number so we should divide 10 at the very end.

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Oh,Koko,you ask a good question.As you said,88 and 92 appear 3times,you can times 88and 92 by 3, do you think using this method will faster?

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Yes! That’s brilliant! Calculating something repeating: that seems like multiplication! Try to do something like 88*3+92*3

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You can times the same number together and add it together

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Hello Koko, you are great that you have been found that 92 appear 3 times and 88 appear 3 times.Now I will tell you the next step,the next step is times 88 third times like 88x3 and 92x3 at last,you can plus them together and divide the number of data.

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Good kook you can time the same number together and add it together.

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It is good that you find the answer! If a number appears more than 1 time ,multiplying it will be faster,at last you dividing the total so that you find the answer!

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Yes! Your calculation is perfect! We multiply it by how many times it appears because it is easier to calculate, that is the use of multiplication. We divide it by 10 (the number of data) because we want to see the average score of ten students!

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Oh, hello! Thank you for teaching me today!

Wow, averages with more than 10 numbers? That sounds tricky! I think I remember learning about averages before - like when we share things equally. But I have a real-life question that I'm stuck on!

So, at my school, we had a test and the results were like this:

Test scores of 10 students:
85, 92, 88, 92, 90, 85, 88, 92, 90, 88

My teacher said we need to find the average score, but there are so many numbers to add! If I just add them all up like 85 + 92 + 88 + 92 + ... it will take forever!

Can you help me figure out a faster way to find the average of all these 10 numbers?

I noticed that some numbers repeat - like 92 appears 3 times, and 88 also appears 3 times. Can we use that somehow to make it easier? 🤔

What do you think is the best way to do this?

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It’s a very good question. We multiply each number by how many times it appears instead of adding because if you just added them up , you will have a higher chance of mistakes and if just multiply it the chance of mistakes are lower.

We divide the number by 10 is because it is the number of the data

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It was because we use this method was easier calculation

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Because is faster

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Hello Koko,we times each number by how many times it appears because it is a faster way to calculate like 12x4, it was equal to 12+12+12+12.At last we need to divide 10 because we need to have the average of it.

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1. Quartermaster: time keeper and writer

2. Captain: Team leader to make decisions

3. Sailing master: iPad manager and typer

4. carpenter: calculation manager

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Hannah:sailing master

Stone:quartermaster

Andrew:captain

Rainbow:carpenter

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Hannah: sailing Master

Stone:quartermaster

Andrew: captain

Rainbow:carpenter

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captain Elwen

Quartermaster Jerry

Sailing master edward

Carpenter Ryan

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Quartermaster: Bruce YANG

Captain: Bella HARNEJA

Sailing Master: Flora HUNG

Carpenter: Owen DONG

# data[].attributes.body
Carlson: calculation manager

Chloe Captain

Hanson : sailing manager

# data[].attributes.body
Quartermaster (Evelyn)

Captain(Alan)

Sailing master(Eason)

Carpenter(Flora)

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Jarvis:carpenter

Bettina : captian

Sophia : sailing master

Belinda : quartermaster

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quartermaster Bayen

Captain Audrey

Sailing master Cherry

Carpenter Livia

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You should convert 35%to fraction as 100 as the denominator, which is 35/100. So the answer is 0.35.

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You're smart at thinking! For change 35% into a decimal, you can change 35% into a faction which is35/ 100 then change it into decimal so 0.35 that is the answer!

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You're smart at thinking! For change 35% into a decimal, you can change 35% into a faction which is35/ 100 then change it into decimal so 0.35 that is the answer!

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You are great,now we need to convert percentage to fraction (35% to 35/100)next we can convert fraction to decimal (35/100 to 0.35 )so you get the answer.

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Oh! So I need to convert 35% to a fraction first? That's interesting! So 35% becomes 35/100, right?

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Oh! So I need to convert 35% to a fraction first? That's interesting! So 35% becomes 35/100, right?

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But wait... I'm a bit confused. Why do we need to convert it to a fraction first before getting the decimal? Can't we just go straight from the percentage to the decimal?

And also, I noticed you said the answer is 0.35 - is that because we moved the decimal point? Can you explain how the decimal point moved to go from 35/100 to 0.35?

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your thinking is right . And the reason the decimal moved to the left for two decimal place is bacause it divided 100 dividing 100 will make the decimal move to the left for two place .

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your thinking is right . And the reason the decimal moved to the left for two decimal place is bacause it divided 100 dividing 100 will make the decimal move to the left for two place .

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guy bas

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When you want to turn 35/100 to 0.35, you have to divide 35 by 100

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1. Converting percentage to decimal directly

You can convert 35% directly to a decimal by removing the % sign and moving the decimal point two places to the left:

35% → 35 → 3.5 → 0.35

35% = 35/100

35/100 = 0.35 because dividing by 100 moves the decimal point two places left."Percent" means "per hundred." So 35% is 35 out of 100, which is the same as 35 divided by 100. Dividing by 100 shifts the decimal point two places to the left.

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It’s brilliant! You also can just convert to decimals immediately: you know, times divide by 100, which is move the decimal point two places left!

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Your question is good,we need to convert percentage to fraction first because it is more simpler to convert percentage to decimal directly.35/100 convert to decimal is 1/100 times 35 it answer is 35/100 so it is what 35/100 can convert to 0.35.

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You are correct,the reason for moving the decimal point is because it needs to times 1/100 before you get the answer and dividing by 100 is 2 zeros which you should move the decimal point left by two spaces

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Ohhh! I see! So we CAN convert directly from percentage to decimal!

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Ohhh! I see! So we CAN convert directly from percentage to decimal!

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So you're saying that 35% means 35 out of 100, and when we divide by 100, the decimal point moves two places to the left? Let me make sure I understand this correctly...

So if I have 35, and I move the decimal point two places to the left, it becomes 0.35, right?

But wait - I'm still a bit confused about why moving the decimal point two places to the left works. Is it because 100 has two zeros, so we move the decimal point two times? Can you explain that part to me? 🤔

And also, if I understand correctly, does this mean that:

35% = 0.35

But also 35/100 = 0.35

So they're the same thing? Is that right? 😊

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Yes that is right. There is also a method that could let you convert percentage to decimal directly ,which is divided by 100

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Yes that is right. There is also a method that could let you convert percentage to decimal directly ,which is divided by 100

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Yes, seems like you understood! We move it two times is because 100 has two zeros!

E.G.

12/10 = 1.2

12/100=0.12

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You’re correct, the reason of the decimal moves to the left for 2 places because it is divided by 100.

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Yes,you move the decimal point left by two times because by a divided by hundred

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Yes it is right,it is because 100 have two zeros so we need to move the decimals two to left.

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The 100have two zero ,so the number has 2 decimal place

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CALB

You are correct,the reason for moving the decimal point is because it needs to times 1/100 before you get the answer and dividing by 100 is 2 zeros which you should move the decimal point left by two spaces