Math / Numbers & Operations

QuestionChoose all the conversion factors you can use to convert yards to centimeters. Select all that apply. $\frac{2.54 \mathrm{~cm}}{1 \mathrm{in} .}$ $\frac{1 \mathrm{in} .}{2.54 \mathrm{~cm}}$ $\frac{3 \mathrm{ft} .}{1 \mathrm{yd} .}$

Studdy Solution

STEP 1

1. We are converting from yards to centimeters.
2. We need to identify valid conversion factors that can be used in this conversion process.
3. We have three potential conversion factors provided.

STEP 2

1. Analyze each conversion factor.
2. Determine applicability for converting yards to centimeters.

STEP 3

Analyze the first conversion factor: $\frac{2.54 \text{ cm}}{1 \text{ in}}$ .
This conversion factor converts inches to centimeters, which can be useful if we can convert yards to inches first.

STEP 4

Analyze the second conversion factor: $\frac{1 \text{ in}}{2.54 \text{ cm}}$ .
This conversion factor converts centimeters to inches, which is the reverse of what we need. It is not directly useful for converting yards to centimeters.

STEP 5

Analyze the third conversion factor: $\frac{3 \text{ ft}}{1 \text{ yd}}$ .
This conversion factor converts yards to feet, which is a step towards converting yards to centimeters since we can further convert feet to inches and then to centimeters.

STEP 6

Determine applicability for converting yards to centimeters.
The first conversion factor $\frac{2.54 \text{ cm}}{1 \text{ in}}$ is applicable because it allows conversion from inches to centimeters. The third conversion factor $\frac{3 \text{ ft}}{1 \text{ yd}}$ is applicable because it allows conversion from yards to feet, which can then be converted to inches and subsequently to centimeters.
The conversion factors that can be used to convert yards to centimeters are:
$\boxed{\frac{2.54 \text{ cm}}{1 \text{ in}}, \frac{3 \text{ ft}}{1 \text{ yd}}}$

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QuestionChoose all the conversion factors you can use to convert yards to centimeters. Select all that apply. $\frac{2.54 \mathrm{~cm}}{1 \mathrm{in} .}$ $\frac{1 \mathrm{in} .}{2.54 \mathrm{~cm}}$ $\frac{3 \mathrm{ft} .}{1 \mathrm{yd} .}$

Studdy Solution

STEP 1

1. We are converting from yards to centimeters.
2. We need to identify valid conversion factors that can be used in this conversion process.
3. We have three potential conversion factors provided.

STEP 2

1. Analyze each conversion factor.
2. Determine applicability for converting yards to centimeters.

STEP 3

Analyze the first conversion factor: $\frac{2.54 \text{ cm}}{1 \text{ in}}$ .
This conversion factor converts inches to centimeters, which can be useful if we can convert yards to inches first.

STEP 4

Analyze the second conversion factor: $\frac{1 \text{ in}}{2.54 \text{ cm}}$ .
This conversion factor converts centimeters to inches, which is the reverse of what we need. It is not directly useful for converting yards to centimeters.

STEP 5

Analyze the third conversion factor: $\frac{3 \text{ ft}}{1 \text{ yd}}$ .
This conversion factor converts yards to feet, which is a step towards converting yards to centimeters since we can further convert feet to inches and then to centimeters.

STEP 6

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Studdy Solution

STEP 1

1. We are converting from yards to centimeters.2. We need to identify valid conversion factors that can be used in this conversion process.3. We have three potential conversion factors provided.

STEP 2

1. Analyze each conversion factor.2. Determine applicability for converting yards to centimeters.

STEP 3

Analyze the first conversion factor: 2.54 cm1 in\frac{2.54 \text{ cm}}{1 \text{ in}}1 in2.54 cm​.This conversion factor converts inches to centimeters, which can be useful if we can convert yards to inches first.

STEP 4

Analyze the second conversion factor: 1 in2.54 cm\frac{1 \text{ in}}{2.54 \text{ cm}}2.54 cm1 in​.This conversion factor converts centimeters to inches, which is the reverse of what we need. It is not directly useful for converting yards to centimeters.

STEP 5

Analyze the third conversion factor: 3 ft1 yd\frac{3 \text{ ft}}{1 \text{ yd}}1 yd3 ft​.This conversion factor converts yards to feet, which is a step towards converting yards to centimeters since we can further convert feet to inches and then to centimeters.

STEP 6

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.

1. We are converting from yards to centimeters.
2. We need to identify valid conversion factors that can be used in this conversion process.
3. We have three potential conversion factors provided.

1. Analyze each conversion factor.
2. Determine applicability for converting yards to centimeters.

Analyze the first conversion factor: $\frac{2.54 \text{ cm}}{1 \text{ in}}$ .
This conversion factor converts inches to centimeters, which can be useful if we can convert yards to inches first.

Analyze the second conversion factor: $\frac{1 \text{ in}}{2.54 \text{ cm}}$ .
This conversion factor converts centimeters to inches, which is the reverse of what we need. It is not directly useful for converting yards to centimeters.

Analyze the third conversion factor: $\frac{3 \text{ ft}}{1 \text{ yd}}$ .
This conversion factor converts yards to feet, which is a step towards converting yards to centimeters since we can further convert feet to inches and then to centimeters.