Negative Numbers 10 Minute Challenge Worksheet | Printable PDF ... - Free Printable

Problem Overview:

The task is to solve a series of arithmetic problems involving negative numbers. The operations include addition, subtraction, multiplication, and division. The goal is to compute the results accurately and efficiently.

Solution Approach:

1. Understand the Rules for Negative Numbers:
- Addition/Subtraction:
- Adding two negative numbers results in a negative number.
- Subtracting a negative number is equivalent to adding a positive number.
- Subtracting a positive number from a negative number makes the result more negative.
- Multiplication/Division:
- Multiplying or dividing two negative numbers results in a positive number.
- Multiplying or dividing a negative number by a positive number results in a negative number.

2. Solve Each Problem Step-by-Step:
- Apply the rules of arithmetic for negative numbers to each problem.
- Ensure careful handling of signs during calculations.

3. Organize the Solutions:
- Provide the solutions in the same order as the problems are listed.

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Detailed Solutions:

#### Column 1: Multiplication and Division
1. \( 3 \times -4 = -12 \)
2. \( -1 \times 9 = -9 \)
3. \( -5 \times -8 = 40 \)
4. \( 7 \times -3 = -21 \)
5. \( -6 \times 4 = -24 \)
6. \( -2 \times -2 = 4 \)
7. \( 7 \times -9 = -63 \)
8. \( -4 \times 5 = -20 \)
9. \( -8 \times -6 = 48 \)
10. \( -11 \times 7 = -77 \)
11. \( 12 \times -3 = -36 \)
12. \( -6 \times -9 = 54 \)
13. \( -10 \times 12 = -120 \)
14. \( -9 \times 4 = -36 \)
15. \( 12 \times 12 = 144 \)
16. \( 8 \div -2 = -4 \)
17. \( -12 \div -6 = 2 \)
18. \( -15 \div 3 = -5 \)
19. \( 9 \div 3 = 3 \)
20. \( -18 \div -3 = 6 \)
21. \( -27 \div 9 = -3 \)
22. \( -32 \div -4 = 8 \)
23. \( 24 \div -6 = -4 \)
24. \( -48 \div -12 = 4 \)
25. \( 56 \div -8 = -7 \)
26. \( 25 \div -5 = -5 \)
27. \( -42 \div -7 = 6 \)
28. \( 72 \div 6 = 12 \)
29. \( -84 \div -12 = 7 \)
30. \( -16 \div 4 = -4 \)
31. \( -2 + 5 = 3 \)
32. \( 6 - 8 = -2 \)
33. \( 4 - 7 = -3 \)

#### Column 2: Addition and Subtraction
34. \( -3 + 1 = -2 \)
35. \( -5 - 2 = -7 \)
36. \( 6 - 7 = -1 \)
37. \( -9 + 5 = -4 \)
38. \( 21 - 26 = -5 \)
39. \( -18 + 7 = -11 \)
40. \( 3 + -2 = 1 \)
41. \( 1 - +4 = -3 \)
42. \( 5 --6 = 11 \)
43. \( 8 + -2 = 6 \)
44. \( -3 --2 = -1 \)
45. \( 12 + -9 = 3 \)
46. \( -6 + -7 = -13 \)
47. \( -4 - +3 = -7 \)
48. \( 18 --13 = 31 \)
49. \( -3 --7 = 4 \)
50. \( -16 + -2 = -18 \)
51. \( -5 \times -4 = 20 \)
52. \( -1 \times -8 = 8 \)
53. \( -3 \times -5 = 15 \)
54. \( 9 \times -2 = -18 \)
55. \( -7 \times 4 = -28 \)
56. \( -1 \times -1 = 1 \)
57. \( 8 \times -9 = -72 \)
58. \( -4 \times 4 = -16 \)
59. \( -12 \times -6 = 72 \)
60. \( -11 \times 8 = -88 \)
61. \( 12 \times -5 = -60 \)
62. \( -8 \times -6 = 48 \)
63. \( -7 \times 6 = -42 \)
64. \( -9 \times 4 = -36 \)
65. \( 11 \times 11 = 121 \)
66. \( 9 \div -1 = -9 \)

#### Column 3: Division and Mixed Operations
67. \( -33 \div -3 = 11 \)
68. \( -12 \div 3 = -4 \)
69. \( -18 \div -2 = 9 \)
70. \( -18 \div -3 = 6 \)
71. \( -54 \div 6 = -9 \)
72. \( -35 \div -7 = 5 \)
73. \( 36 \div -3 = -12 \)
74. \( -49 \div -7 = 7 \)
75. \( 66 \div -11 = -6 \)
76. \( 27 \div -3 = -9 \)
77. \( -40 \div -8 = 5 \)
78. \( 90 \div 3 = 30 \)
79. \( -40 \div -2 = 20 \)
80. \( -130 \div 10 = -13 \)
81. \( -10 + 30 = 20 \)
82. \( 30 - 90 = -60 \)
83. \( 40 - 50 = -10 \)
84. \( -85 + 5 = -80 \)
85. \( -70 - 10 = -80 \)
86. \( 40 - 60 = -20 \)
87. \( -120 + 80 = -40 \)
88. \( 100 - 300 = -200 \)
89. \( -150 + 90 = -60 \)
90. \( 54 + -72 = -18 \)
91. \( 16 - +41 = -25 \)
92. \( 35 --62 = 97 \)
93. \( 89 + -111 = -22 \)
94. \( -63 --24 = -39 \)
95. \( 14 + -37 = -23 \)
96. \( -88 + -19 = -107 \)
97. \( -47 - +32 = -79 \)
98. \( 16 --56 = 72 \)
99. \( 146 + -200 = -54 \)

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Final Answer:

\[
\boxed{
\begin{array}{lll}
1) & -12 & 34) & -2 & 67) & 11 \\
2) & -9 & 35) & -7 & 68) & -4 \\
3) & 40 & 36) & -1 & 69) & 9 \\
4) & -21 & 37) & -4 & 70) & 6 \\
5) & -24 & 38) & -5 & 71) & -9 \\
6) & 4 & 39) & -11 & 72) & 5 \\
7) & -63 & 40) & 1 & 73) & -12 \\
8) & -20 & 41) & -3 & 74) & 7 \\
9) & 48 & 42) & 11 & 75) & -6 \\
10) & -77 & 43) & 6 & 76) & -9 \\
11) & -36 & 44) & -1 & 77) & 5 \\
12) & 54 & 45) & 3 & 78) & 30 \\
13) & -120 & 46) & -13 & 79) & 20 \\
14) & -36 & 47) & -7 & 80) & -13 \\
15) & 144 & 48) & 31 & 81) & 20 \\
16) & -4 & 49) & 4 & 82) & -60 \\
17) & 2 & 50) & -18 & 83) & -10 \\
18) & -5 & 51) & 20 & 84) & -80 \\
19) & 3 & 52) & 8 & 85) & -80 \\
20) & 6 & 53) & 15 & 86) & -20 \\
21) & -3 & 54) & -18 & 87) & -40 \\
22) & 8 & 55) & -28 & 88) & -200 \\
23) & -4 & 56) & 1 & 89) & -60 \\
24) & 4 & 57) & -72 & 90) & -18 \\
25) & -7 & 58) & -16 & 91) & -25 \\
26) & -5 & 59) & 72 & 92) & 97 \\
27) & 6 & 60) & -88 & 93) & -22 \\
28) & 12 & 61) & -60 & 94) & -39 \\
29) & 7 & 62) & 48 & 95) & -23 \\
30) & -4 & 63) & -42 & 96) & -107 \\
31) & 3 & 64) & -36 & 97) & -79 \\
32) & -2 & 65) & 121 & 98) & 72 \\
33) & -3 & 66) & -9 & 99) & -54 \\
\end{array}
}
\]