Textbook Question
Use metric conversion factors to solve each of the following problems:b. A glass of orange juice contains 3.2 dL of juice. How many milliliters of orange juice are in the glass?
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2. Measurement and Problem Solving
Metric Prefixes
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If a room has a volume of 1.15 x 108 cm3, what is the volume in km3?
A
1150 km3
B
115 km3
C
1.15 x 10-7 km3
D
1.15 x 105 km3
Verified step by step guidance1
Start by understanding the conversion factor between cubic centimeters (cm³) and cubic kilometers (km³). There are 1,000,000,000,000 cm³ in 1 km³.
Express the given volume in scientific notation: 1.15 x 10^8 cm³.
To convert cm³ to km³, divide the volume in cm³ by the conversion factor (1 x 10^12 cm³/km³).
Set up the division: \( \frac{1.15 \times 10^8}{1 \times 10^{12}} \).
Simplify the expression by subtracting the exponents: \( 1.15 \times 10^{8 - 12} \), which results in \( 1.15 \times 10^{-4} \) km³.
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