Understand Positive and Negative Numbers - 6th Grade Math

1. What integer represents a charge of $3$ units of negative electric charge?

   $-3$. Negative electric charges are represented by negative numbers.

2. A bank account shows a debit of $25. What integer represents this balance change?

   $-25$. Debits represent money owed or withdrawn.

3. What does $0$ mean when using integers to describe a real-world situation?

   $0$ means the reference point or no net change in that context. Zero marks the starting point or neutral position between opposites.

4. What does $0$ mean for elevation measured relative to sea level?

   $0$ means sea level (neither above nor below sea level). Sea level serves as the zero point for measuring elevation.

5. A diver is $8$ meters below sea level. Which integer represents the diver's elevation?

   $-8$. Below sea level positions are represented by negative integers.

6. What is the opposite of $0$ on a number line?

   $0$. Zero is its own opposite; it's neither positive nor negative.

7. Which is greater: $-3$ or $-8$?

   $-3$. On a number line, $-3$ is to the right of $-8$.

8. Find and correct the sign: "$-8$ meters above sea level" should be written as what integer?

   $8$. Above sea level requires a positive sign.

9. What integer represents an elevation of $12$ meters below sea level?

   $-12$. Below sea level elevations are negative numbers.

10. What integer represents a deposit of $25$ dollars into a bank account?

    $+25$. Deposits (money in) are represented as positive numbers.

11. Which symbol should you write to show a value is above a reference point: $+$ or $-$?

    $+$. The plus sign indicates values greater than the reference point.

12. What does $0$ mean for money when positives are credits and negatives are debits?

    $0$ means no net balance (neither credit nor debt). Zero balance means credits equal debits.

13. Which number represents $7$ degrees below zero on a temperature scale?

    $-7$. Below zero temperatures are represented by negative numbers.

14. Which is greater: $-3$ or $2$?

    $2$. Positive numbers are always greater than negative numbers.

15. What does $0$ mean for electric charge when positive and negative charges are possible?

    $0$ means no net charge (neutral). Neutral objects have equal positive and negative charges.

16. What integer represents a temperature of $7$ degrees above $0$?

    $+7$. Above zero temperatures are positive numbers.

17. What integer represents a withdrawal of $40$ dollars from a bank account?

    $-40$. Withdrawals (money out) are represented as negative numbers.

18. Which symbol should you write to show a value is below a reference point: $+$ or $-$?

    $-$. The minus sign indicates values less than the reference point.

19. Identify the integer that represents $30$ meters below sea level: $30$, $-30$, or $0$.

    $-30$. Below sea level is negative elevation.

20. What does a negative number represent in a context with opposite directions or values?

    A quantity in the opposite direction or below the reference point. Negative numbers show movement/measurement opposite to the positive direction.

21. What does $0$ represent in a temperature context measured relative to $0$ degrees?

    $0$ means $0$ degrees on that temperature scale. The reference point for measuring temperature up or down.

22. Identify the integer that best represents a temperature of $0$ degrees.

    $0$. Zero degrees is neither positive nor negative temperature.

23. What does $0$ mean when elevation is measured relative to sea level?

    $0$ means sea level (the reference elevation). Sea level is the standard reference point for measuring elevation.

24. Which number represents a credit (deposit) of $40$ dollars?

    $40$. Credits are positive additions to an account balance.

25. Choose the correct description for $0$ meters relative to sea level.

    At sea level. Zero elevation means exactly at the sea level reference point.

26. Which is greater: $-1$ or $-6$?

    $-1$. On a number line, $-1$ is closer to zero than $-6$.

27. A hiker is at $15$ meters elevation. Which integer represents the hiker's elevation?

    $15$. Above sea level positions are represented by positive integers.

28. Which number represents $30$ meters below sea level?

    $-30$. Below sea level elevations are negative values.

29. What integer represents moving $4$ units right from $0$ on a number line?

    $+4$. Moving right from zero gives positive numbers.

30. What does a negative number represent when describing a quantity with opposite directions?

    A value in the opposite direction (below, loss, decrease). Negative numbers show movement or position opposite to the positive direction.

31. A diver is at $-15$ meters and rises to $-9$ meters. What is the change in elevation?

    $+6$ meters. Rising from $-15$ to $-9$ is an increase of $6$ meters.

32. Which number represents a debt of $25$ dollars?

    $-25$. Debts are amounts owed, represented as negative values.

33. Which is less: $2$ or $-2$?

    $-2$. Negative numbers are always less than positive numbers.

34. An elevator is at floor $-2$ and goes up to floor $0$. How many floors does it move?

    $2$ floors. Count the floors between $-2$ and $0$: $-2, -1, 0$.

35. What does $0$ represent in a bank account context using credits and debits?

    $0$ means a zero balance (no money owed and no money owned). Neither owing money nor having money in the account.

36. What does $0$ mean on a temperature scale measured above or below $0$?

    $0$ means neither above nor below $0$; it is the reference point. Zero is the boundary between positive and negative temperatures.

37. What does $0$ mean in a bank account context using credits and debits?

    $0$ means no money in the account; the balance is zero. Zero balance means credits equal debits.

38. What integer represents an elevation of $30$ meters above sea level?

    $+30$. Above sea level elevations are positive numbers.

39. The temperature is $-6^\circ\text{C}$. How many degrees is it below $0^\circ\text{C}$?

    $6^\circ\text{C}$ below $0^\circ\text{C}$. $-6$ means $6$ units below the zero reference.

40. Which option represents $5$ degrees below $0$: $5$, $-5$, or $0$?

    $-5$. Below zero temperatures are negative numbers.

41. Identify the integer that represents $12$ meters above sea level: $12$, $-12$, or $0$.

    $12$. Above sea level is positive elevation.

42. What does a positive number represent in a context with opposite directions or values?

    A quantity in the chosen positive direction or above the reference point. Positive numbers show movement/measurement in the designated "positive" direction.

43. Which number represents $12$ meters above sea level?

    $12$. Above sea level elevations are positive values.

44. What is the opposite of $5$ on a number line (same distance from $0$)?

    $-5$. The opposite of a positive number is its negative counterpart.

45. Which is greater: $4$ or $-2$?

    $4$. Any positive number is greater than any negative number.

46. What does $0$ mean when electric charge is described as positive or negative?

    $0$ means no net charge; it is electrically neutral. Neutral objects have equal positive and negative charges.

47. Identify the integer that is the opposite of $-9$.

    $+9$. Opposites are the same distance from zero but in opposite directions.

48. In an electric charge context, what does $0$ represent?

    $0$ means neutral (no net electric charge). Equal positive and negative charges cancel out.

49. What does $0$ mean on a temperature scale that uses above and below zero?

    $0$ means neither above nor below zero; it is the reference point. Zero is the boundary between positive and negative temperatures.

50. A bank account shows a credit of $40. What integer represents this balance change?

    $40$. Credits represent money added or deposited.

51. Identify the integer that represents $7$ degrees below $0$: $7$, $-7$, or $0$.

    $-7$. Below zero temperatures are negative.

52. What does a positive number represent when describing a quantity with opposite directions?

    A value in the chosen positive direction (above, gain, increase). Positive numbers show movement or position in the designated "up" or "forward" direction.

53. Which is greater: $-3$ or $-8$?

    $-3$. $-3$ is closer to zero on the number line than $-8$.

54. What is the opposite of $-9$ on a number line (same distance from $0$)?

    $9$. Opposites are the same distance from zero but on opposite sides.

55. A bank balance is $-12$ dollars. Which phrase matches this value?

    A debt of $12$ dollars (overdrawn by $12$ dollars). Negative balance means the account is overdrawn.

56. What does $0$ represent in an elevation context measured relative to sea level?

    $0$ means sea level. The reference point for measuring elevation up or down.

57. What integer represents moving $6$ units left from $0$ on a number line?

    $-6$. Moving left from zero gives negative numbers.

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