Place value, ordering and negative numbers

9.Which of the following numbers are negative? (Select all that apply.)

10.Which of the following inequalities are true? (Select all that apply.)

11.Which of the following statements about negative numbers are correct? (Select all that apply.)

12.Match each calculation with its correct result.

13.Arrange these values in descending order (largest first).

14.What is the value of -(-(-3))?

15.Which of the following is the largest number?

16.The temperature at 6 am was -4 °C. By noon it had risen by 9 °C. By 6 pm it had fallen by 3 °C. What was the temperature at 6 pm?

17.Calculate: -6 + 2

18.Calculate: -5 - 3

19.Calculate: -3 × 4

20.Calculate: -15 ÷ -3

21.Calculate: -2 + (-5)

22.Calculate: 4 - (-2)

23.Calculate: -3 × -2

24.Calculate: -10 ÷ 2

25.Calculate: -4 + 3 - 2

26.Calculate: -6 - (-2)

27.Calculate: (-2) × (-3) × (-1)

28.Calculate: -20 ÷ (-4) × 2

29.The temperature at 6 am was −7 °C. It rose by 12 °C by noon, then fell by 15 °C by midnight. What was the temperature at midnight?

30.A submarine is at −250 m (250 m below sea level). It rises 80 m, then descends 130 m. What is its final depth?

31.A football team has a goal difference of −5. They win their next match 3–1. What is their new goal difference?

32.In a golf tournament, a player's score after round 1 is −2. In round 2, the player scores 3 over par. What is the player's total score after two rounds?

33.The temperature at midnight was −3 °C. By 6 am it had fallen by 8 °C. What was the temperature at 6 am?

34.Which of the following calculations give a negative result? (Select all that apply.)

35.A rectangle has length 7 cm and width 4 cm. A square has side length 5 cm. Which statement is true?

36.The temperature at 6 am was −5 °C. By noon it had risen by 9 °C. By 6 pm it had fallen by 7 °C. What was the temperature at 6 pm?

37.Which of the following numbers is an integer?

38.Which symbol correctly compares the numbers -4 and -9?

39.Zero is considered a negative number.

40.A temperature of -6 °C is how many degrees below 0 °C?

41.What is the term for a number that is either positive or zero?

42.Calculate: 5 + (-3)

43.Calculate: -4 × -2

44.Complete the sentence with the correct mathematical symbol.

45.Calculate: -7 + (-3)

46.A debt of £47 is represented as a negative amount. Write this amount in pounds as a number.

47.Complete the sentence about the number -6.

48.What is the term for a number that is either negative or zero?

49.A submarine is at a depth of 120 metres below sea level. It rises by 45 metres. What is its new depth in metres below sea level? Write your answer as a negative number.

50.Complete the statement about comparing -8 and -5.

51.In a golf tournament, a player's score relative to par is -3. In the next round, the player scores 2 over par for that round. What is the player's new score relative to par?

52.The temperature at midnight was -7 °C. By 6 am it had fallen by 4 °C. What was the temperature at 6 am?

53.Explain why -8 is less than -5.

54.Explain why -(-5) = 5.

55.Explain why subtracting a negative number gives the same result as adding its positive opposite. Use an example in your answer.

56.Explain why -(-4) = 4.

57.Explain why -(-7) = 7.

58.Calculate: 5 + (-3)

59.Calculate: -4 × -2

60.Calculate: -7 + (-3)

61.A debt of £47 is represented as a negative amount. Write this amount in pounds as a number.

62.A submarine is at a depth of 120 metres below sea level. It rises by 45 metres. What is its new depth in metres below sea level? Write your answer as a negative number.

63.In a golf tournament, a player's score relative to par is -3. In the next round, the player scores 2 over par for that round. What is the player's new score relative to par?

64.The temperature at midnight was -7 °C. By 6 am it had fallen by 4 °C. What was the temperature at 6 am?