Let's evaluate each statement one by one.
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The sum of 1/2 and 1/5 is between 1/2 and 1.
Calculation:
\( \frac{1}{2} + \frac{1}{5} = \frac{5}{10} + \frac{2}{10} = \frac{7}{10} \)
\( \frac{7}{10} \) is between \( \frac{1}{2} \) (which is \( 0.5 \)) and \( 1 \).
Answer: Yes -
The difference of 1/5 and 1/10 is closer to 1/2 than to 0.
Calculation:
\( \frac{1}{5} - \frac{1}{10} = \frac{2}{10} - \frac{1}{10} = \frac{1}{10} \)
\( \frac{1}{10} \) is 0.1, which is closer to 0 than to 0.5.
Answer: No -
The sum of 1/2 and 2/5 is greater than 1.
Calculation:
\( \frac{1}{2} + \frac{2}{5} = \frac{5}{10} + \frac{4}{10} = \frac{9}{10} \)
\( \frac{9}{10} = 0.9 \) which is less than 1.
Answer: No -
The sum of 4/5 and 1/10 is closer to 1/2 than to 1.
Calculation:
\( \frac{4}{5} + \frac{1}{10} = \frac{8}{10} + \frac{1}{10} = \frac{9}{10} \)
\( \frac{9}{10} = 0.9 \) which is closer to 1 than to 0.5 (0.5 = 0.5).
Answer: No
Thus, the answers are:
- Yes
- No
- No
- No