Question

835 yd to kilometers
express your answer to three significant figures and include the appropriate units.

value units
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part d

1.7 in. to millimeters
express your answer to two significant figures and include the appropriate units.

value units

Explanation:

Step1: Convert yards to meters

First, use the conversion factor $1\ \text{yd} = 0.9144\ \text{m}$:
$835\ \text{yd} \times 0.9144\ \frac{\text{m}}{\text{yd}} = 763.524\ \text{m}$

Step2: Convert meters to kilometers

Use the conversion factor $1\ \text{km} = 1000\ \text{m}$:
$763.524\ \text{m} \times \frac{1\ \text{km}}{1000\ \text{m}} = 0.763524\ \text{km}$

Step3: Round to 3 significant figures

$0.763524\ \text{km} \approx 0.764\ \text{km}$

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Step4: Convert inches to centimeters

Use the conversion factor $1\ \text{in} = 2.54\ \text{cm}$:
$1.7\ \text{in} \times 2.54\ \frac{\text{cm}}{\text{in}} = 4.318\ \text{cm}$

Step5: Convert centimeters to millimeters

Use the conversion factor $1\ \text{cm} = 10\ \text{mm}$:
$4.318\ \text{cm} \times 10\ \frac{\text{mm}}{\text{cm}} = 43.18\ \text{mm}$

Step6: Round to 2 significant figures

$43.18\ \text{mm} \approx 43\ \text{mm}$

Answer:

835 yd to kilometers: $0.764$ kilometers
1.7 in. to millimeters: $43$ millimeters