Questions: Convert the following measurements: - 5.6 km to meters. - 0.75 mm to micrometers (μm). - 100 g to kilograms. - 3 × 10^7 ns to seconds. - 2 miles to kilometers. - 2 days to seconds.

Convert the following measurements: - 5.6 km to meters. - 0.75 mm to micrometers (μm). - 100 g to kilograms. - 3 × 10^7 ns to seconds. - 2 miles to kilometers. - 2 days to seconds.
Transcript text: - Convert the following measurements: - 5.6 km to meters. - 0.75 mm to micrometers $(\mu m)$. - 100 g to kilograms. - $3 \times 10^{7} \mathrm{~ns}$ to seconds. - 2 miles to kilometers. - 2 days to seconds.
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Solution

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Solution Steps

Step 1: Convert kilometers to meters

To convert kilometers to meters, multiply by 1,000 (since 1 km = 1,000 m).

\[ 5.6 \, \text{km} \times 1,000 = 5,600 \, \text{m} \]

Step 2: Convert millimeters to micrometers

To convert millimeters to micrometers, multiply by 1,000 (since 1 mm = 1,000 \(\mu m\)).

\[ 0.75 \, \text{mm} \times 1,000 = 750 \, \mu m \]

Step 3: Convert grams to kilograms

To convert grams to kilograms, divide by 1,000 (since 1,000 g = 1 kg).

\[ 100 \, \text{g} \div 1,000 = 0.1 \, \text{kg} \]

Final Answer

  • 5.6 km to meters: \(\boxed{5,600 \, \text{m}}\)
  • 0.75 mm to micrometers: \(\boxed{750 \, \mu m}\)
  • 100 g to kilograms: \(\boxed{0.1 \, \text{kg}}\)
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