Math / Numbers & Operations

QuestionFind the unit rate that helps you solve the problem. How many inches are in $10$ feet?
$10$ feet $\times$ ______ $=$ $?$ inches
$\frac{1 \text{ inch}}{12 \text{ feet}}$
$\frac{1 \text{ foot}}{12 \text{ inches}}$
$\frac{12 \text{ inches}}{1 \text{ foot}}$
$\frac{12 \text{ feet}}{1 \text{ inch}}$

Studdy Solution

STEP 1

What is this asking? We need to figure out how many inches are in 10 feet, and we're given a few conversion rates to choose from. Watch out! It's easy to pick the wrong conversion rate, so make sure the units cancel out correctly!

STEP 2

1. Choose the Right Conversion Rate
2. Calculate the Inches

STEP 3

Alright, let's start by looking at what we're given: $\$10$ feet.
We want to convert this to inches.
We need a conversion rate that will cancel out the feet and leave us with inches.

STEP 4

We have a few options.
Let's look at $\frac{12 \text{ inches}}{1 \text{ foot}}$ .
If we multiply our starting value, $\$10$ feet, by this, the "feet" units will divide to one, and we'll be left with inches!
That's exactly what we want!

STEP 5

The other options won't work.
For example, if we used $\frac{1 \text{ foot}}{12 \text{ inches}}$ , our units would be feet squared divided by inches... what?! That's not what we're looking for.
So, $\frac{12 \text{ inches}}{1 \text{ foot}}$ is our winner!

STEP 6

Now for the fun part!
We multiply our $\$10$ feet by our chosen conversion rate:
$10 \text{ feet} \cdot \frac{12 \text{ inches}}{1 \text{ foot}}$

STEP 7

Notice how the "feet" units divide to one, leaving us with:
$10 \cdot 12 \text{ inches}$

STEP 8

And $10 \cdot 12$ is $\$120$ !
So, our final answer is:
$120 \text{ inches}$

STEP 9

There are $\$120$ inches in $\$10$ feet.

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Studdy Solution

STEP 1

What is this asking? We need to figure out how many inches are in 10 feet, and we're given a few conversion rates to choose from. Watch out! It's easy to pick the wrong conversion rate, so make sure the units cancel out correctly!

STEP 2

1. Choose the Right Conversion Rate
2. Calculate the Inches

STEP 3

Alright, let's start by looking at what we're given: $\$10$ feet.
We want to convert this to inches.
We need a conversion rate that will cancel out the feet and leave us with inches.

STEP 4

We have a few options.
Let's look at $\frac{12 \text{ inches}}{1 \text{ foot}}$ .
If we multiply our starting value, $\$10$ feet, by this, the "feet" units will divide to one, and we'll be left with inches!
That's exactly what we want!

STEP 5

The other options won't work.
For example, if we used $\frac{1 \text{ foot}}{12 \text{ inches}}$ , our units would be feet squared divided by inches... what?! That's not what we're looking for.
So, $\frac{12 \text{ inches}}{1 \text{ foot}}$ is our winner!

STEP 6

Now for the fun part!
We multiply our $\$10$ feet by our chosen conversion rate:
$10 \text{ feet} \cdot \frac{12 \text{ inches}}{1 \text{ foot}}$

STEP 7

Notice how the "feet" units divide to one, leaving us with:
$10 \cdot 12 \text{ inches}$

STEP 8

And $10 \cdot 12$ is $\$120$ !
So, our final answer is:
$120 \text{ inches}$

STEP 9

There are $\$120$ inches in $\$10$ feet.

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Studdy Solution

STEP 1

What is this asking? We need to figure out how many inches are in 10 feet, and we're given a few conversion rates to choose from. Watch out! It's easy to pick the wrong conversion rate, so make sure the units cancel out correctly!

STEP 2

1. Choose the Right Conversion Rate2. Calculate the Inches

STEP 3

Alright, let's **start** by looking at what we're given: $10\$10$10 feet.We want to convert this to inches.We need a conversion rate that will *cancel out* the feet and leave us with inches.

STEP 4

We have a few options.Let's look at 12 inches1 foot\frac{12 \text{ inches}}{1 \text{ foot}}1 foot12 inches​.If we multiply our **starting value**, $10\$10$10 feet, by this, the "feet" units will divide to one, and we'll be left with inches!That's exactly what we want!

STEP 5

STEP 6

Now for the fun part!We **multiply** our $10\$10$10 feet by our **chosen conversion rate**:10 feet⋅12 inches1 foot 10 \text{ feet} \cdot \frac{12 \text{ inches}}{1 \text{ foot}} 10 feet⋅1 foot12 inches​

STEP 7

Notice how the "feet" units divide to one, leaving us with:10⋅12 inches 10 \cdot 12 \text{ inches} 10⋅12 inches

STEP 8

And 10⋅1210 \cdot 1210⋅12 is $120\$120$120!So, our **final answer** is:120 inches 120 \text{ inches} 120 inches

STEP 9

There are $120\$120$120 inches in $10\$10$10 feet.

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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.

1. Choose the Right Conversion Rate
2. Calculate the Inches

Alright, let's start by looking at what we're given: $\$10$ feet.
We want to convert this to inches.
We need a conversion rate that will cancel out the feet and leave us with inches.

We have a few options.
Let's look at $\frac{12 \text{ inches}}{1 \text{ foot}}$ .
If we multiply our starting value, $\$10$ feet, by this, the "feet" units will divide to one, and we'll be left with inches!
That's exactly what we want!

Now for the fun part!
We multiply our $\$10$ feet by our chosen conversion rate:
$10 \text{ feet} \cdot \frac{12 \text{ inches}}{1 \text{ foot}}$

Notice how the "feet" units divide to one, leaving us with:
$10 \cdot 12 \text{ inches}$

And $10 \cdot 12$ is $\$120$ !
So, our final answer is:
$120 \text{ inches}$

There are $\$120$ inches in $\$10$ feet.