Question

Arrange the following numbers from least to greatest:

a) -1.5
b) -0.75
c) -0.35
d) 1.75

Answer 1

The numbers -1.5, -0.75, -0.35, and 1.75 arranged from least to greatest are -1.5, -0.75, -0.35, and 1.75 respectively, since negative numbers are smaller than positive numbers and must be ordered accordingly.

Step-by-step explanation:

To arrange the numbers -1.5, -0.75, -0.35, and 1.75 from least to greatest, we must understand the number line concept. Negative numbers are less than zero and become smaller as they move away from zero in the negative direction, whereas positive numbers are greater than zero and increase as they move away from zero in the positive direction. In this case:

1. -1.5 is less than -0.75, so -1.5 comes first.
2. -0.75 is next, as it is less than -0.35 but greater than -1.5.
3. -0.35 follows, as it is the largest negative number amongst the three.
4. 1.75 is the only positive number and thus the largest of the four.

Therefore, the numbers arranged from least to greatest are -1.5, -0.75, -0.35, and 1.75.