Question

Identify the location of each point on the number line.

a) 0.5 is a point to the right of -1/4 but to the left of 2, while -1/2 is to the left of 0.5 and -1/4 is between -1/2 and 0.5, and 2 is to the right of 0.5.
b) -1/2 is a point to the left of 0.5 but to the right of -1/4, while -1/4 is to the left of -1/2 and 0.5 is between -1/4 and 2, and 2 is to the right of 0.5.

Answer 1

The locations of each point on the number line are correctly ordered from left to right as -1/2, -1/4, 0.5, and 2.

Step-by-step explanation:

When identifying the location of each point on the number line, it's helpful to consider the order of real numbers from least to greatest. Here are the points given:

• 0.5 is to the right of -1/4 but to the left of 2.
• -1/2 is to the left of 0.5.
• -1/4 is between -1/2 and 0.5.
• 2 is to the right of 0.5.

For point b) the description of locations is inconsistent and seems to be incorrect, as -1/2 cannot be to the left of 0.5 and to the right of -1/4 simultaneously if -1/4 is already said to be between -1/2 and 0.5 in point a).

However, the correct order of these points on a number line, from left to right, would be -1/2, -1/4, 0.5, then 2.