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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Step-by-step Solution
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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