Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Determine if the statement is greater than ([tex]$\ \textgreater \ $[/tex]), less than ([tex]$\ \textless \ $[/tex]), or equal to ([tex]$=$[/tex]) 37.

[tex]\[ 37 - (-3)^2 \][/tex]

Sagot :

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].