Math / Algebra

QuestionQuestion Watch Video Show Examples
Write two numbers that multiply to the value on top and add to the value on bottom.

Studdy Solution

STEP 1

What is this asking? We need to find two numbers that multiply to give us 81 and add up to 18. Watch out! Don't mix up addition and multiplication!
Also, remember that two negative numbers multiplied together make a positive number.

STEP 2

1. Find factors of 81
2. Check the sums

STEP 3

Let's start by listing out the factor pairs of 81.
Remember, factors are numbers that divide evenly into another number.
So, what numbers can we multiply together to get 81?

STEP 4

Well, there's 1 and 81. $1 \cdot 81 = 81$ .

STEP 5

Next, we see that 81 is divisible by 3, since $8 + 1 = 9$ and 9 is divisible by 3. $81 \div 3 = 27$ , so 3 and 27 are a factor pair. $3 \cdot 27 = 81$ .

STEP 6

We also know that 9 multiplied by itself equals 81. $9 \cdot 9 = 81$ .

STEP 7

Now, let's check if any of these factor pairs add up to 18.

STEP 8

Do 1 and 81 add up to 18?
Nope! $1 + 81 = 82$ .

STEP 9

What about 3 and 27? $3 + 27 = 30$ .
Still no!

STEP 10

Finally, let's try 9 and 9. $9 + 9 = 18$ .
Bingo! We found our pair!

STEP 11

The two numbers are 9 and 9.
They multiply to $9 \cdot 9 = 81$ and add to $9 + 9 = 18$ .

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QuestionQuestion Watch Video Show Examples
Write two numbers that multiply to the value on top and add to the value on bottom.

Studdy Solution

STEP 1

What is this asking? We need to find two numbers that multiply to give us 81 and add up to 18. Watch out! Don't mix up addition and multiplication!
Also, remember that two negative numbers multiplied together make a positive number.

STEP 2

1. Find factors of 81
2. Check the sums

STEP 3

Let's start by listing out the factor pairs of 81.
Remember, factors are numbers that divide evenly into another number.
So, what numbers can we multiply together to get 81?

STEP 4

Well, there's 1 and 81. $1 \cdot 81 = 81$ .

STEP 5

Next, we see that 81 is divisible by 3, since $8 + 1 = 9$ and 9 is divisible by 3. $81 \div 3 = 27$ , so 3 and 27 are a factor pair. $3 \cdot 27 = 81$ .

STEP 6

We also know that 9 multiplied by itself equals 81. $9 \cdot 9 = 81$ .

STEP 7

Now, let's check if any of these factor pairs add up to 18.

STEP 8

Do 1 and 81 add up to 18?
Nope! $1 + 81 = 82$ .

STEP 9

What about 3 and 27? $3 + 27 = 30$ .
Still no!

STEP 10

Finally, let's try 9 and 9. $9 + 9 = 18$ .
Bingo! We found our pair!

STEP 11

The two numbers are 9 and 9.
They multiply to $9 \cdot 9 = 81$ and add to $9 + 9 = 18$ .

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QuestionQuestion Watch Video Show ExamplesWrite two numbers that multiply to the value on top and add to the value on bottom.

Studdy Solution

STEP 1

What is this asking? We need to find two numbers that multiply to give us **81** and add up to **18**. Watch out! Don't mix up addition and multiplication!Also, remember that two negative numbers multiplied together make a positive number.

STEP 2

1. Find factors of 812. Check the sums

STEP 3

Let's **start** by listing out the factor pairs of **81**.Remember, factors are numbers that divide evenly into another number.So, what numbers can we multiply together to get **81**?

STEP 4

Well, there's **1** and **81**. 1⋅81=811 \cdot 81 = 811⋅81=81.

STEP 5

Next, we see that **81** is divisible by **3**, since 8+1=98 + 1 = 98+1=9 and **9** is divisible by **3**. 81÷3=2781 \div 3 = 2781÷3=27, so **3** and **27** are a factor pair. 3⋅27=813 \cdot 27 = 813⋅27=81.

STEP 6

We also know that **9** multiplied by itself equals **81**. 9⋅9=819 \cdot 9 = 819⋅9=81.

STEP 7

Now, let's check if any of these factor pairs add up to **18**.

STEP 8

Do **1** and **81** add up to **18**?Nope! 1+81=821 + 81 = 821+81=82.

STEP 9

What about **3** and **27**? 3+27=303 + 27 = 303+27=30.Still no!

STEP 10

Finally, let's try **9** and **9**. 9+9=189 + 9 = 189+9=18.Bingo! We found our pair!

STEP 11

The two numbers are **9** and **9**.They multiply to 9⋅9=819 \cdot 9 = 819⋅9=81 and add to 9+9=189 + 9 = 189+9=18.

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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.

QuestionQuestion Watch Video Show Examples
Write two numbers that multiply to the value on top and add to the value on bottom.

What is this asking? We need to find two numbers that multiply to give us 81 and add up to 18. Watch out! Don't mix up addition and multiplication!
Also, remember that two negative numbers multiplied together make a positive number.

1. Find factors of 81
2. Check the sums

Let's start by listing out the factor pairs of 81.
Remember, factors are numbers that divide evenly into another number.
So, what numbers can we multiply together to get 81?

Well, there's 1 and 81. $1 \cdot 81 = 81$ .

Next, we see that 81 is divisible by 3, since $8 + 1 = 9$ and 9 is divisible by 3. $81 \div 3 = 27$ , so 3 and 27 are a factor pair. $3 \cdot 27 = 81$ .

We also know that 9 multiplied by itself equals 81. $9 \cdot 9 = 81$ .

Now, let's check if any of these factor pairs add up to 18.

Do 1 and 81 add up to 18?
Nope! $1 + 81 = 82$ .

What about 3 and 27? $3 + 27 = 30$ .
Still no!

Finally, let's try 9 and 9. $9 + 9 = 18$ .
Bingo! We found our pair!

The two numbers are 9 and 9.
They multiply to $9 \cdot 9 = 81$ and add to $9 + 9 = 18$ .