Math / Algebra

Question $8+24=32 \quad 32-2 \mu=8$
CHALLENGE Why does the same number work in both of the equations abc

Studdy Solution

STEP 1

What is this asking? Why can we use 24 in both $8 + 24 = 32$ and $32 - 24 = 8$ ? Watch out! Don't get tricked, it's not just about the numbers, it's about how addition and subtraction are related!

STEP 2

1. Addition
2. Subtraction
3. The Big Relationship

STEP 3

Let's start with the first equation: $8 + 24 = 32$ .
This tells us that if we take $8$ and add $24$ to it, we get $32$ .
Imagine you have $8$ cookies, and your friend gives you $24$ more.
Now, you have a whopping $32$ cookies!

STEP 4

Now, let's look at the second equation: $32 - 24 = 8$ .
This tells us that if we start with $32$ and take away $24$ , we're left with $8$ .
Think about those $32$ cookies.
You eat $24$ (hey, we don't judge!). How many are left?
You're back to your original $8$ cookies.

STEP 5

Here's the magic: Addition and subtraction are inverse operations!
That means they undo each other.
It's like going forward and then backward – you end up where you started.

STEP 6

In our example, we added $24$ to $8$ to get $32$ .
Then, we subtracted that same $24$ from $32$ , bringing us right back to $8$ .
That's why the same number, our magical $24$ , works in both equations!

STEP 7

The number 24 works in both equations because addition and subtraction are inverse operations.
Adding 24 and then subtracting 24 undoes each other, bringing us back to the original number.

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Question $8+24=32 \quad 32-2 \mu=8$
CHALLENGE Why does the same number work in both of the equations abc

Studdy Solution

STEP 1

What is this asking? Why can we use 24 in both $8 + 24 = 32$ and $32 - 24 = 8$ ? Watch out! Don't get tricked, it's not just about the numbers, it's about how addition and subtraction are related!

STEP 2

1. Addition
2. Subtraction
3. The Big Relationship

STEP 3

Let's start with the first equation: $8 + 24 = 32$ .
This tells us that if we take $8$ and add $24$ to it, we get $32$ .
Imagine you have $8$ cookies, and your friend gives you $24$ more.
Now, you have a whopping $32$ cookies!

STEP 4

Now, let's look at the second equation: $32 - 24 = 8$ .
This tells us that if we start with $32$ and take away $24$ , we're left with $8$ .
Think about those $32$ cookies.
You eat $24$ (hey, we don't judge!). How many are left?
You're back to your original $8$ cookies.

STEP 5

Here's the magic: Addition and subtraction are inverse operations!
That means they undo each other.
It's like going forward and then backward – you end up where you started.

STEP 6

In our example, we added $24$ to $8$ to get $32$ .
Then, we subtracted that same $24$ from $32$ , bringing us right back to $8$ .
That's why the same number, our magical $24$ , works in both equations!

STEP 7

The number 24 works in both equations because addition and subtraction are inverse operations.
Adding 24 and then subtracting 24 undoes each other, bringing us back to the original number.

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Question8+24=3232−2μ=88+24=32 \quad 32-2 \mu=88+24=3232−2μ=8CHALLENGE Why does the same number work in both of the equations abc

Studdy Solution

STEP 1

What is this asking? Why can we use 24 in both 8+24=328 + 24 = 328+24=32 *and* 32−24=832 - 24 = 832−24=8? Watch out! Don't get tricked, it's not just about the numbers, it's about how addition and subtraction are related!

STEP 2

1. Addition2. Subtraction3. The Big Relationship

STEP 3

Let's **start** with the first equation: 8+24=328 + 24 = 328+24=32.This tells us that if we take 888 and **add** 242424 to it, we get 323232.Imagine you have 888 cookies, and your friend gives you 242424 more.Now, you have a whopping 323232 cookies!

STEP 4

Now, let's look at the second equation: 32−24=832 - 24 = 832−24=8.This tells us that if we **start** with 323232 and **take away** 242424, we're left with 888.Think about those 323232 cookies.You eat 242424 (hey, we don't judge!). How many are left?You're back to your **original** 888 cookies.

STEP 5

Here's the **magic**: Addition and subtraction are **inverse operations**!That means they **undo** each other.It's like going forward and then backward – you end up where you started.

STEP 6

In our example, we **added** 242424 to 888 to get 323232.Then, we **subtracted** that same 242424 from 323232, bringing us right back to 888.That's why the same number, our **magical** 242424, works in both equations!

STEP 7

The number 24 works in both equations because addition and subtraction are inverse operations.Adding 24 and then subtracting 24 undoes each other, bringing us back to the original number.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question $8+24=32 \quad 32-2 \mu=8$
CHALLENGE Why does the same number work in both of the equations abc

What is this asking? Why can we use 24 in both $8 + 24 = 32$ and $32 - 24 = 8$ ? Watch out! Don't get tricked, it's not just about the numbers, it's about how addition and subtraction are related!

1. Addition
2. Subtraction
3. The Big Relationship

Let's start with the first equation: $8 + 24 = 32$ .
This tells us that if we take $8$ and add $24$ to it, we get $32$ .
Imagine you have $8$ cookies, and your friend gives you $24$ more.
Now, you have a whopping $32$ cookies!

Now, let's look at the second equation: $32 - 24 = 8$ .
This tells us that if we start with $32$ and take away $24$ , we're left with $8$ .
Think about those $32$ cookies.
You eat $24$ (hey, we don't judge!). How many are left?
You're back to your original $8$ cookies.

Here's the magic: Addition and subtraction are inverse operations!
That means they undo each other.
It's like going forward and then backward – you end up where you started.

In our example, we added $24$ to $8$ to get $32$ .
Then, we subtracted that same $24$ from $32$ , bringing us right back to $8$ .
That's why the same number, our magical $24$ , works in both equations!

The number 24 works in both equations because addition and subtraction are inverse operations.
Adding 24 and then subtracting 24 undoes each other, bringing us back to the original number.