Question

Order the numbers from least to greatest without rewriting each number as its decimal approximation. How were you able to order the numbers?

a)-√18
b)-√15
c)6.
d)2

Answer 1

To order the given numbers (-√18, -√15, 6, 2) from least to greatest without using their decimal approximations, we can use the concept of square roots.

Step-by-step explanation:

To order the given numbers (-√18, -√15, 6, 2) from least to greatest without using their decimal approximations, we can use the concept of square roots.

1. The square root of -√18 is an imaginary number and cannot be compared directly to other real numbers. So, we can skip this number for now.
2. The square root of -√15 is also an imaginary number and cannot be compared directly to other real numbers. So, we can skip this number as well.
3. Next, we compare 6 and 2. Since 2 is smaller than 6, we can place it before 6 in the ordering.
4. Finally, we can include the imaginary numbers -√18 and -√15 in the ordering. As imaginary numbers cannot be compared directly with real numbers, we would place them separately after the real numbers. So, the final order would be: 2, 6, -√15, -√18.

Therefore, the numbers are ordered from least to greatest as follows: 2, 6, -√15, -√18.