Answer :

Sure, let's solve the problem step-by-step.

1. Representing 212 feet below sea level:

When something is "below sea level," it is considered to have a negative value because it is below the reference point (which is sea level). Therefore, 212 feet below sea level would be represented as:
[tex]\[ -212 \][/tex]

2. Representing 900 deposited in a bank:

When money is deposited in a bank, it is considered an increase or a positive transaction. Therefore, depositing 900 dollars in a bank would be represented as:
[tex]\[ +900 \text{ or simply } 900 \][/tex]

So the numbers represented with appropriate signs are:

- 212 feet below sea level: [tex]\(-212\)[/tex]
- 900 deposited in a bank: [tex]\(900\)[/tex]

These are the integer representations of the given situations.