Question

A number line going from negative 1 to 0. There are 5 equal spaces between the numbers. The line contains negative 1, A, B, C, D, 0.

Which point on the number line represents −4
5
?

A
B
C
D

Answer 1

To find which point on the number line represents \(-\frac{4}{5}\), we first need to determine the spacing between the points.

The number line goes from \(-1\) to \(0\) and has 5 equal spaces. The total length from \(-1\) to \(0\) is \(1\) unit (since \(0 - (-1) = 1\)).

We can divide this length by the number of spaces (5) to find the length of each space:

\[
\text{Length of each space} = \frac{1}{5} = 0.2
\]

Now, let's mark the points starting from \(-1\):

- The first point (A) is at \(-1 + 0.2 = -0.8\)
- The second point (B) is at \(-1 + 0.4 = -0.6\)
- The third point (C) is at \(-1 + 0.6 = -0.4\)
- The fourth point (D) is at \(-1 + 0.8 = -0.2\)

The points on the number line are:

- \(-1\)
- A: \(-0.8\)
- B: \(-0.6\)
- C: \(-0.4\)
- D: \(-0.2\)
- 0

Now, we want to determine where \(-\frac{4}{5}\) lies on the number line.

Converting \(-\frac{4}{5}\) into a decimal, we have:

\[
-\frac{4}{5} = -0.8
\]

From our markings on the number line, we can see that \(-0.8\) corresponds to point A.

Thus, the point on the number line that represents \(-\frac{4}{5}\) is:

**A**.