Question

Consider these numbers, ordered from least to greatest.

Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent

A number line going from negative 2 to positive 1.

Which values could correctly fill in the blank?
Select all that apply.
10%
1
-0.1
-1
One-fourth

Answer 1

To find which values could correctly fill in the blank, we first need to organize the given numbers in the list from least to greatest:

The numbers we have are:
- Negative 1.8
- Negative 1 and one-fourth (which is -1.25)
- Negative 0.2
- Blank
- One-half (which is 0.5)
- 90 percent (which is 0.9)

Now let's assign approximate decimal values to the given numbers:
- Negative 1.8 = -1.8
- Negative 1 and one-fourth = -1.25
- Negative 0.2 = -0.2
- One-half = 0.5
- 90 percent = 0.9

Ordering these from least to greatest, we have:
1. -1.8
2. -1.25
3. -0.2
4. (Blank)
5. 0.5
6. 0.9

Now we need to determine suitable values for the blank that fit correctly in the sequence.

Considering the provided options:

1. **10%** = 0.1 (Fits after -0.2 when placed in the blank)
2. **1** (Does not fit since it is greater than 0.5)
3. **-0.1** (Fits after -0.2 when placed in the blank)
4. **-1** (Does not fit since it is less than -1.25)
5. **One-fourth** = 0.25 (Fits after -0.2 when placed in the blank)

So, the values that could correctly fill in the blank are:
- 10%
- -0.1
- One-fourth

The selected values are: **10%, -0.1, and One-fourth.**