Question

use integers to represent quantities
write an integer for each situation. explain the meaning of zero in each situation.

	example	integer	meaning of zero
1	the basketball team scored 9 points in the last quarter
2	the temperature is 15 degrees above freezing
3	you withdrew $20 from your savings account
4	the elevator is on the 4th floor of a building
5	shawn deposited $30 into his savings account
6	a submarine is currently 100 feet below sea level
7	the football team lost 3 yards on one play
8	victoria earned $32 from babysitting
9	you earned 3 points extra credit on a test
10	it is 10° colder today than yesterday

Explanation:

Step1: Analyze each situation

For positive quantities (gains, above, deposits, earned, etc.), use positive integers. For negative quantities (losses, below, withdrawals, colder, etc.), use negative integers. Zero represents the reference point (e.g., zero points, freezing, sea level, no gain/loss, etc.).

Step2: Assign integers and explain zero

1. Situation 1: Scoring 9 points (gain) → Integer: \( 9 \); Zero: No points scored.
2. Situation 2: 15° above freezing → Integer: \( 15 \); Zero: Freezing temperature.
3. Situation 3: Withdraw $20 (loss from account) → Integer: \( -20 \); Zero: No change in account balance.
4. Situation 4: 4th floor (positive position) → Integer: \( 4 \); Zero: Ground floor (or no floor, reference).
5. Situation 5: Deposit $30 (gain in account) → Integer: \( 30 \); Zero: No change in account balance.
6. Situation 6: 100 feet below sea level → Integer: \( -100 \); Zero: Sea level.
7. Situation 7: Lost 3 yards (loss) → Integer: \( -3 \); Zero: No yardage change (neither gain nor loss).
8. Situation 8: Earned $32 (gain) → Integer: \( 32 \); Zero: No money earned.
9. Situation 9: Earned 3 extra points (gain) → Integer: \( 3 \); Zero: No extra points earned.
10. Situation 10: 10° colder (loss in temperature) → Integer: \( -10 \); Zero: Same temperature as yesterday.

Answer:

Example	Integer	Meaning of Zero
2. The temperature is 15 degrees above freezing	\( 15 \)	Freezing temperature
3. You withdrew $20 from your savings account	\( -20 \)	No change in account balance
4. The elevator is on the 4th floor of a building	\( 4 \)	Ground floor (reference)
5. Shawn deposited $30 into his savings account	\( 30 \)	No change in account balance
6. A submarine is currently 100 feet below sea level	\( -100 \)	Sea level
7. The football team lost 3 yards on one play	\( -3 \)	No yardage change
8. Victoria earned $32 from babysitting	\( 32 \)	No money earned
9. You earned 3 points extra credit on a test	\( 3 \)	No extra points earned
10. It is \( 10^\circ \) colder today than yesterday	\( -10 \)	Same temperature as yesterday