Clarke Curry
09/04/2023 · High School
3 e number of hours in 80 minutes is \( \frac{80}{60} \). Which statements are true? The number of hours in decimal form is 1.3 . The amount of time is a full hour and \( \frac{1}{3} \) hour. The number of hours is a terminating decimal. The number of hours is between 1 and 1.35 . Dividing 6 by 8 will give the correct decimal value.
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To solve this problem, let's first find the number of hours in 80 minutes.
1. Convert minutes to hours:
\[ \text{Number of hours} = \frac{80}{60} \]
2. Simplify the fraction:
\[ \text{Number of hours} = \frac{4}{3} \]
3. Convert the fraction to a decimal:
\[ \text{Number of hours} = 1.333... \] (repeating)
Now let's evaluate each statement:
1. The number of hours in decimal form is 1.3.
- This statement is false because the decimal form is 1.333... (repeating), not 1.3.
2. The amount of time is a full hour and \( \frac{1}{3} \) hour.
- This statement is true because \( \frac{4}{3} \) hours is equivalent to 1 hour and \( \frac{1}{3} \) hour.
3. The number of hours is a terminating decimal.
- This statement is false because the number of hours is a repeating decimal (1.333...).
4. The number of hours is between 1 and 1.35.
- This statement is true because 1.333... is between 1 and 1.35.
5. Dividing 6 by 8 will give the correct decimal value.
- This statement is true because \( \frac{6}{8} = \frac{3}{4} = 0.75 \), which is not the correct decimal value for 80 minutes. However, if we consider the original problem, \( \frac{80}{60} \) is not equal to \( \frac{6}{8} \), so this statement is not directly related to the original problem.
Therefore, the true statements are:
- The amount of time is a full hour and \( \frac{1}{3} \) hour.
- The number of hours is between 1 and 1.35.
Quick Answer
The amount of time is 1 hour and \( \frac{1}{3} \) hour. The number of hours is between 1 and 1.35.
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