To determine which integer can be filled in the blank line in the list, we need to first convert the other numbers into their decimal or fractional forms and analyze the order:
- Negative 15: -15
- Negative 3 and four-fifths: -3.8
- Negative 1.5: -1.5
- Blank
- 2.3
- 5 and two-thirds: 5.67 (which is equivalent to 5.666... but for simplicity, we can use 5.67)
Now the order of the numbers we have is: -15 < -3.8 < -1.5 < _____ < 2.3 < 5.67
Now, let's review the options:
- –2: This fits in the blank, as -2 is greater than -1.5 and less than 2.3.
- Negative 1 and one-third: This is approximately -1.33, which is also greater than -1.5 and less than 2.3, so this could fit as well.
- 0: This is greater than -1.5 and less than 2.3, so this could fit too.
- 1.2: This is also greater than -1.5 and less than 2.3, so it could fit as well.
All of these options are technically valid, but since the question asks for an integer that can be inserted on the blank line, the only integer option is:
–2.
1 answer