Math / Numbers & Operations

Question10. Higher Order Thinking Chris needs to find the product of two numbers. One of the numbers is 11 . The answer also needs to be 11 . How will Chris solve this problem? Explain.

Studdy Solution

STEP 1

What is this asking? We need to figure out what number, when multiplied by $11$ , gives us $11$ . Watch out! Don't overthink it!
Multiplication by $1$ is a fundamental concept here.

STEP 2

1. Understand the problem
2. Find the solution
3. Explain the reasoning

STEP 3

We're looking for a mystery number, and we know that when we multiply this mystery number by $11$ , the answer is $11$ .
Let's represent our mystery number with the variable $x$ .

STEP 4

So, we can write this problem as an equation: $11 \cdot x = 11$ .
This equation says "11 times $x$ equals 11".
Our goal is to find the value of $x$ .

STEP 5

To isolate $x$ , we need to divide both sides of the equation by $11$ .
Remember, what we do to one side of the equation, we must do to the other to keep it balanced!

STEP 6

$\frac{11 \cdot x}{11} = \frac{11}{11}$

STEP 7

On the left side, the $11$ in the numerator and the $11$ in the denominator divide to one, leaving us with just $x$ .
Awesome!

STEP 8

On the right side, $11$ divided by $11$ also divides to one, giving us $1$ .

STEP 9

So, our equation now looks like this: $x = 1$ .
We found our mystery number!
It's $1$ !

STEP 10

Any number multiplied by $1$ equals itself.
This is called the multiplicative identity property.
Since the problem told us that one of the numbers is $11$ and the product (the result of multiplication) is also $11$ , the other number must be $1$ .

STEP 11

Chris will solve this problem by realizing that any number multiplied by $1$ equals itself.
Since one number is $11$ and the product is also $11$ , the other number must be $1$ .
Therefore, $11 \cdot 1 = 11$ .

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Question10. Higher Order Thinking Chris needs to find the product of two numbers. One of the numbers is 11 . The answer also needs to be 11 . How will Chris solve this problem? Explain.

Studdy Solution

STEP 1

What is this asking? We need to figure out what number, when multiplied by $11$ , gives us $11$ . Watch out! Don't overthink it!
Multiplication by $1$ is a fundamental concept here.

STEP 2

1. Understand the problem
2. Find the solution
3. Explain the reasoning

STEP 3

We're looking for a mystery number, and we know that when we multiply this mystery number by $11$ , the answer is $11$ .
Let's represent our mystery number with the variable $x$ .

STEP 4

So, we can write this problem as an equation: $11 \cdot x = 11$ .
This equation says "11 times $x$ equals 11".
Our goal is to find the value of $x$ .

STEP 5

To isolate $x$ , we need to divide both sides of the equation by $11$ .
Remember, what we do to one side of the equation, we must do to the other to keep it balanced!

STEP 6

$\frac{11 \cdot x}{11} = \frac{11}{11}$

STEP 7

On the left side, the $11$ in the numerator and the $11$ in the denominator divide to one, leaving us with just $x$ .
Awesome!

STEP 8

On the right side, $11$ divided by $11$ also divides to one, giving us $1$ .

STEP 9

So, our equation now looks like this: $x = 1$ .
We found our mystery number!
It's $1$ !

STEP 10

Any number multiplied by $1$ equals itself.
This is called the multiplicative identity property.
Since the problem told us that one of the numbers is $11$ and the product (the result of multiplication) is also $11$ , the other number must be $1$ .

STEP 11

Chris will solve this problem by realizing that any number multiplied by $1$ equals itself.
Since one number is $11$ and the product is also $11$ , the other number must be $1$ .
Therefore, $11 \cdot 1 = 11$ .

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Question10. Higher Order Thinking Chris needs to find the product of two numbers. One of the numbers is 11 . The answer also needs to be 11 . How will Chris solve this problem? Explain.

Studdy Solution

STEP 1

What is this asking? We need to figure out what number, when multiplied by 111111, gives us 111111. Watch out! Don't overthink it!Multiplication by 111 is a fundamental concept here.

STEP 2

1. Understand the problem2. Find the solution3. Explain the reasoning

STEP 3

We're looking for a **mystery number**, and we know that when we multiply this **mystery number** by 111111, the answer is 111111.Let's represent our **mystery number** with the variable xxx.

STEP 4

So, we can write this problem as an equation: 11⋅x=1111 \cdot x = 1111⋅x=11.This equation says "11 times xxx equals 11".Our goal is to find the value of xxx.

STEP 5

To **isolate** xxx, we need to divide both sides of the equation by 111111.Remember, what we do to one side of the equation, we *must* do to the other to keep it balanced!

STEP 6

11⋅x11=1111 \frac{11 \cdot x}{11} = \frac{11}{11} 1111⋅x​=1111​

STEP 7

On the left side, the 111111 in the numerator and the 111111 in the denominator divide to one, leaving us with just xxx.Awesome!

STEP 8

On the right side, 111111 divided by 111111 also divides to one, giving us 111.

STEP 9

So, our equation now looks like this: x=1x = 1x=1.We found our **mystery number**!It's 111!

STEP 10

Any number multiplied by 111 equals itself.This is called the **multiplicative identity property**.Since the problem told us that one of the numbers is 111111 and the product (the result of multiplication) is *also* 111111, the other number *must* be 111.

STEP 11

Chris will solve this problem by realizing that any number multiplied by 111 equals itself.Since one number is 111111 and the product is also 111111, the other number must be 111.Therefore, 11⋅1=1111 \cdot 1 = 1111⋅1=11.

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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.

What is this asking? We need to figure out what number, when multiplied by $11$ , gives us $11$ . Watch out! Don't overthink it!
Multiplication by $1$ is a fundamental concept here.

1. Understand the problem
2. Find the solution
3. Explain the reasoning

We're looking for a mystery number, and we know that when we multiply this mystery number by $11$ , the answer is $11$ .
Let's represent our mystery number with the variable $x$ .

So, we can write this problem as an equation: $11 \cdot x = 11$ .
This equation says "11 times $x$ equals 11".
Our goal is to find the value of $x$ .

To isolate $x$ , we need to divide both sides of the equation by $11$ .
Remember, what we do to one side of the equation, we must do to the other to keep it balanced!

$\frac{11 \cdot x}{11} = \frac{11}{11}$

On the left side, the $11$ in the numerator and the $11$ in the denominator divide to one, leaving us with just $x$ .
Awesome!

On the right side, $11$ divided by $11$ also divides to one, giving us $1$ .

So, our equation now looks like this: $x = 1$ .
We found our mystery number!
It's $1$ !

Any number multiplied by $1$ equals itself.
This is called the multiplicative identity property.
Since the problem told us that one of the numbers is $11$ and the product (the result of multiplication) is also $11$ , the other number must be $1$ .

Chris will solve this problem by realizing that any number multiplied by $1$ equals itself.
Since one number is $11$ and the product is also $11$ , the other number must be $1$ .
Therefore, $11 \cdot 1 = 11$ .