Hodges Alexander
10/15/2023 · Primary School

\( 1 \leftarrow \quad \) Express the measure in standard notation. \( \quad 3 \mathrm{gal} 9 \mathrm{qt} 80 \mathrm{oz} \)

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To express the measure \( 3 \mathrm{gal} 9 \mathrm{qt} 80 \mathrm{oz} \) in standard notation, we need to convert all the measurements to a single unit. Let's convert everything to gallons. 1. **Convert quarts to gallons**: - There are 4 quarts in a gallon. - Therefore, \( 9 \mathrm{qt} = \frac{9}{4} \mathrm{gal} = 2.25 \mathrm{gal} \). 2. **Convert ounces to gallons**: - There are 128 ounces in a gallon. - Therefore, \( 80 \mathrm{oz} = \frac{80}{128} \mathrm{gal} = \frac{5}{8} \mathrm{gal} = 0.625 \mathrm{gal} \). 3. **Add all the gallons together**: - Start with the gallons: \( 3 \mathrm{gal} \) - Add the converted quarts: \( 3 \mathrm{gal} + 2.25 \mathrm{gal} = 5.25 \mathrm{gal} \) - Add the converted ounces: \( 5.25 \mathrm{gal} + 0.625 \mathrm{gal} = 5.875 \mathrm{gal} \) Thus, the measure \( 3 \mathrm{gal} 9 \mathrm{qt} 80 \mathrm{oz} \) expressed in standard notation is: \[ 5.875 \mathrm{gal} \]

Quick Answer

\( 3 \mathrm{gal} 9 \mathrm{qt} 80 \mathrm{oz} = 5.875 \mathrm{gal} \)
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