Question

Choose the correct order of the following numbers from least to greatest.


, 1/7
, 20%
√0.5

, |-0.5|
,
,

Answer 1

To compare the given numbers, let's convert them to decimals for easier comparison:

1. \( \frac{1}{7} \approx 0.142857 \)
2. \( 20\% = 0.2 \)
3. \( \sqrt{0.5} \approx 0.7071 \)
4. \( |-0.5| = 0.5 \)

Now we can list them in decimal form:

- \( \frac{1}{7} \approx 0.142857 \)
- \( 20\% = 0.2 \)
- \( |-0.5| = 0.5 \)
- \( \sqrt{0.5} \approx 0.7071 \)

Now we can put them in order from least to greatest:

1. \( \frac{1}{7} \approx 0.142857 \)
2. \( 20\% = 0.2 \)
3. \( |-0.5| = 0.5 \)
4. \( \sqrt{0.5} \approx 0.7071 \)

Thus, the correct order from least to greatest is:

\[
\frac{1}{7}, 20\%, |-0.5|, \sqrt{0.5}
\]