Question

Which set of numbers are ordered from least to greatest?

A. 7, |–4|, –7, 0, –|3|, 3
B. –|3|, –7, 0, 3, 7, |–4|
C. –7, –|3|, 0, 3, |–4|, 7
D. 7, |–4|, 3, 0, –|3|, –7

Answer 1

The set of numbers ordered from least to greatest is B. –|3|, –7, 0, 3, 7, |–4|.

Step-by-step explanation:

1. The set of numbers ordered from least to greatest is B. –|3|, –7, 0, 3, 7, |–4|.
2. To order the numbers from least to greatest, we start by looking at the absolute values of the numbers. The absolute value of a number is its distance from zero on the number line. In this case, the absolute values of the numbers are |–3|, |–7|, |0|, |3|, |7|, and |–4|.
3. Arranging these absolute values in ascending order gives us 0, 3, 4, 7.
4. Next, we consider the sign of each number. The negative numbers come before the positive numbers. So, the ordered set of numbers is –|3|, –7, 0, 3, 7, |–4|.