The list shows numbers in order from least to greatest.

Question

Negative 34, negative 2 and three-fourths, blank, negative 1.5, 0, 2.3, 10, 25 and one-fifth

Which is an integer that can be inserted on the blank line in the list?
Negative 2.5
–2
Negative 1 and StartFraction 9 Over 10 EndFraction
–1

Answer 1

To determine which integer can be inserted in the blank line in the list that is already in order from least to greatest, we first need to convert the provided numbers into a consistent format for easy comparison.

Here is the list for reference:

• Negative 34
• Negative 2 and three-fourths (which is -2.75)
• Blank
• Negative 1.5 (which is -1.5)
• 0
• 2.3
• 10
• 25 and one-fifth (which is 25.2)

Now, let's list these numbers in their decimal forms:

• Negative 34
• -2.75
• Blank
• -1.5
• 0
• 2.3
• 10
• 25.2

Now, we need to see where an integer would fit in the list:

1. Negative 34
2. -2.75
3. Blank
4. -1.5
5. 0
6. 2.3
7. 10
8. 25.2

Next, let's examine the options for the blank line:

1. Negative 2.5 (which is -2.5)
2. -2 (which is -2)
3. Negative 1 and StartFraction 9 Over 10 EndFraction (which is -1.9)
4. –1 (which is -1)

Now let's place these numbers in the context of the list:

• Negative 34
• -2.75
• -2.5 (This would fit between -2.75 and -1.5)
• -2 (This would fit between -2.75 and -1.5)
• -1.9 (This would fit between -2.75 and -1.5)
• -1 (This would fit between -2.75 and -1.5)
• -1.5
• 0
• 2.3
• 10
• 25.2

Each of the options fits above negative 2.75 but before negative 1.5.

However, among the options given, -2 is the only integer and fits in the correct spot in the list.

Thus, the integer that can be inserted on the blank line is -2.