Consider these numbers, ordered from least to greatest.

Question

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.