Consider the numbers −1 2/3

Question

, −1 1/3
, −1.5
, and −1
. Which number is less than −1.5
?(1 point)
Responses

−1 1/3
−1 1/3

−1.5
negative 1 point 5

−1
negative 1

−1 2/3

Answer 1

To determine which number is less than −1.5, we first convert all the numbers into decimal form:

1. −1 2/3 = −1 - 0.666... = −1.666...
2. −1 1/3 = −1 - 0.333... = −1.333...
3. −1.5 = −1.5
4. −1 = −1

Now we compare these decimal values with −1.5:

• −1 2/3 (−1.666...) is less than −1.5.
• −1 1/3 (−1.333...) is greater than −1.5.
• −1.5 is equal to −1.5.
• −1 (−1) is greater than −1.5.

The only number that is less than −1.5 is −1 2/3.

So, the answer is −1 2/3.