Question

Put these numbers in order from least to greatest:
1) 8.285714¯ (8 2/7)
2) 7.21110255 (52)
3) -9.2
4) 6.2¯ (56/9)

Answer 1

To order the numbers from least to greatest, we need to interpret and approximate each of them:

1) **8.285714¯ (8 2/7)**: The number 8.285714... is a repeating decimal, which can be approximated to 8.2857 when rounded to four decimal places.

2) **7.21110255 (52)**: This decimal is already precise, so we can keep it as 7.2111 for simplification.

3) **-9.2**: This is a negative number and is the smallest value on this list.

4) **6.2¯ (56/9)**: The decimal 6.2¯ means that the '2' is repeating. This can be approximated as 6.2222 when rounded to four decimal places.

Now let's list the numbers:

-9.2
6.2222... (for 6.2¯)
7.2111... (for 7.21110255)
8.2857... (for 8.285714¯)

Putting them in order from least to greatest, we have:

1) **-9.2**
2) **6.2¯ (6.2222...)**
3) **7.21110255 (7.2111...)**
4) **8.285714¯ (8.2857...)**

Final order:

-9.2, 6.2¯ (6.2222...), 7.21110255 (7.2111...), 8.285714¯ (8.2857...)