Question

Here is a set of signed numbers: 7 , −3 , 12 , −0.8 , 0.8 , −110 , −2 . 1. Order the numbers from least to greatest.

Answer 1

To order the set of numbers from least to greatest, start with the most negative number (-110) and move towards the largest positive number (12), staying consistent with the relative positions of the numbers to zero. The ordered list is -110, -3, -2, -0.8, 0.8, 7, 12.

Step-by-step explanation:

To order numbers from least to greatest, you need to compare their values relative to zero. Negative numbers are less than zero, while positive numbers are more than zero. Knowing these facts, you can determine which numbers are smaller or larger.

1. Start by identifying the most negative (smallest) number in the set. In this case, it is -110 because it is farthest from zero on the negative side.
2. Next, order the remaining negative numbers in ascending order: -3 and -2.
3. After that, we have -0.8, which is the smallest of the positive numbers.
4. The number 0.8 is the mirror of -0.8 and comes next in the sequence. Then follow the rest of the positive numbers.
5. Finally, we place the remaining positive numbers in ascending order according to their distance from zero: 7 and 12.

So the ordered list from least to greatest is: -110, -3, -2, -0.8, 0.8, 7, 12.