Answer :
To determine the comparison result for the expression [tex]\(0.37 - (-3)^2\)[/tex], let's break it down step by step:
1. Evaluate the exponentiation:
- Calculate [tex]\((-3)^2\)[/tex].
- [tex]\((-3)^2 = 9\)[/tex], since any negative number squared is positive.
2. Apply the result to the expression:
- Substitute the value from the exponentiation into the expression, so we get [tex]\(0.37 - 9\)[/tex].
3. Perform the subtraction:
- Subtract 9 from 0.37.
- [tex]\(0.37 - 9 = -8.63\)[/tex].
Now, we compare [tex]\(-8.63\)[/tex] with 0:
- Since [tex]\(-8.63\)[/tex] is less than 0, we have:
[tex]\[ 0.37 - (-3)^2 < 0 \][/tex]
Thus, the final answer is [tex]\(<\)[/tex].
1. Evaluate the exponentiation:
- Calculate [tex]\((-3)^2\)[/tex].
- [tex]\((-3)^2 = 9\)[/tex], since any negative number squared is positive.
2. Apply the result to the expression:
- Substitute the value from the exponentiation into the expression, so we get [tex]\(0.37 - 9\)[/tex].
3. Perform the subtraction:
- Subtract 9 from 0.37.
- [tex]\(0.37 - 9 = -8.63\)[/tex].
Now, we compare [tex]\(-8.63\)[/tex] with 0:
- Since [tex]\(-8.63\)[/tex] is less than 0, we have:
[tex]\[ 0.37 - (-3)^2 < 0 \][/tex]
Thus, the final answer is [tex]\(<\)[/tex].
