Negative Numbers Worksheets - Printable Worksheet on Negative ... - Free Printable

It looks like you've uploaded a worksheet titled "Negative Numbers: 10 Minute Challenge" with 99 arithmetic problems involving negative numbers. The goal is to solve as many as possible in 10 minutes.

Since I can't view images directly, I’ll help you solve the problems and explain the method for working through them efficiently. Let me walk you through how to approach each type of problem and provide solutions for a few examples. Then, you can apply the same logic to the rest.

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🔢 Key Rules for Negative Numbers

1. Adding a negative number is the same as subtracting a positive:
- $ a + (-b) = a - b $
2. Subtracting a negative number is the same as adding a positive:
- $ a - (-b) = a + b $
3. Multiplying two negatives gives a positive:
- $ (-a) × (-b) = ab $
4. Multiplying a negative and a positive gives a negative:
- $ (-a) × b = -ab $
5. Dividing two negatives gives a positive:
- $ (-a) ÷ (-b) = a ÷ b $
6. Dividing a negative by a positive (or vice versa) gives a negative:
- $ (-a) ÷ b = - (a ÷ b) $

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✔ Let's Solve a Few Examples

#### Example 1:
1) 3 × -4 = ?
→ Multiply: $ 3 × 4 = 12 $, but one negative → result is -12
✔ Answer: -12

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#### Example 2:
2) -1 × 9 = ?
→ $ -1 × 9 = -9 $
✔ Answer: -9

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#### Example 3:
3) 5 × -8 = ?
→ $ 5 × 8 = 40 $, one negative → -40
✔ Answer: -40

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#### Example 4:
4) 7 × -3 = ?
→ $ 7 × 3 = 21 $, one negative → -21
✔ Answer: -21

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#### Example 5:
5) -6 × 4 = ?
→ $ 6 × 4 = 24 $, one negative → -24
✔ Answer: -24

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#### Example 6:
6) -2 × -2 = ?
→ Two negatives → positive → $ 2 × 2 = 4 $
✔ Answer: 4

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#### Example 7:
7) 7 × -9 = ?
→ $ 7 × 9 = 63 $, one negative → -63
✔ Answer: -63

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#### Example 8:
8) -4 × 5 = ?
→ $ 4 × 5 = 20 $, one negative → -20
✔ Answer: -20

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#### Example 9:
9) -8 × -6 = ?
→ Two negatives → positive → $ 8 × 6 = 48 $
✔ Answer: 48

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#### Example 10:
10) -11 × -7 = ?
→ Two negatives → positive → $ 11 × 7 = 77 $
✔ Answer: 77

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#### Example 11:
11) 12 × -3 = ?
→ $ 12 × 3 = 36 $, one negative → -36
✔ Answer: -36

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#### Example 12:
12) -6 × -9 = ?
→ Two negatives → positive → $ 6 × 9 = 54 $
✔ Answer: 54

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#### Example 13:
13) -10 × 12 = ?
→ One negative → $ 10 × 12 = 120 $ → -120
✔ Answer: -120

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#### Example 14:
14) -8 × -4 = ?
→ Two negatives → positive → $ 8 × 4 = 32 $
✔ Answer: 32

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#### Example 15:
15) 12 × 12 = ?
→ Positive × positive → $ 12 × 12 = 144 $
✔ Answer: 144

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#### Example 16:
16) 8 × -2 = ?
→ $ 8 × 2 = 16 $, one negative → -16
✔ Answer: -16

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#### Example 17:
17) -12 × -6 = ?
→ Two negatives → positive → $ 12 × 6 = 72 $
✔ Answer: 72

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#### Example 18:
18) -15 × -3 = ?
→ $ 15 × 3 = 45 $, both negative → 45
✔ Answer: 45

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#### Example 19:
19) 9 × 3 = ?
→ $ 9 × 3 = 27 $
✔ Answer: 27

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#### Example 20:
20) -18 × -3 = ?
→ Two negatives → positive → $ 18 × 3 = 54 $
✔ Answer: 54

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#### Example 21:
21) -27 × 9 = ?
→ One negative → $ 27 × 9 = 243 $ → -243
✔ Answer: -243

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#### Example 22:
22) -32 × -4 = ?
→ Two negatives → positive → $ 32 × 4 = 128 $
✔ Answer: 128

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#### Example 23:
23) 24 × -6 = ?
→ $ 24 × 6 = 144 $, one negative → -144
✔ Answer: -144

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#### Example 24:
24) -48 × -12 = ?
→ Two negatives → positive → $ 48 × 12 = 576 $
✔ Answer: 576

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#### Example 25:
25) 59 × -8 = ?
→ $ 59 × 8 = 472 $, one negative → -472
✔ Answer: -472

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#### Example 26:
26) 28 × -5 = ?
→ $ 28 × 5 = 140 $, one negative → -140
✔ Answer: -140

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#### Example 27:
27) -42 × -7 = ?
→ Two negatives → positive → $ 42 × 7 = 294 $
✔ Answer: 294

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#### Example 28:
28) 72 × 6 = ?
→ $ 72 × 6 = 432 $
✔ Answer: 432

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#### Example 29:
29) -84 × -12 = ?
→ Two negatives → positive → $ 84 × 12 = 1008 $
✔ Answer: 1008

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#### Example 30:
30) -16 × 4 = ?
→ $ 16 × 4 = 64 $, one negative → -64
✔ Answer: -64

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#### Example 31:
31) -2 × 5 = ?
→ $ 2 × 5 = 10 $, one negative → -10
✔ Answer: -10

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#### Example 32:
32) 6 × 6 = ?
→ $ 6 × 6 = 36 $
✔ Answer: 36

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#### Example 33:
33) 4 - 7 = ?
→ $ 4 - 7 = -3 $
✔ Answer: -3

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#### Example 34:
34) -3 × 1 = ?
→ $ -3 × 1 = -3 $
✔ Answer: -3

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#### Example 35:
35) -5 × 2 = ?
→ $ 5 × 2 = 10 $, one negative → -10
✔ Answer: -10

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#### Example 36:
36) 6 - 7 = ?
→ $ 6 - 7 = -1 $
✔ Answer: -1

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#### Example 37:
37) -9 × 5 = ?
→ $ 9 × 5 = 45 $, one negative → -45
✔ Answer: -45

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#### Example 38:
38) 21 × 26 = ?
→ $ 21 × 26 = 546 $
✔ Answer: 546

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#### Example 39:
39) -10 × -4 = ?
→ Two negatives → positive → $ 10 × 4 = 40 $
✔ Answer: 40

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#### Example 40:
40) 3 × -2 = ?
→ $ 3 × 2 = 6 $, one negative → -6
✔ Answer: -6

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#### Example 41:
41) 1 - 4 = ?
→ $ 1 - 4 = -3 $
✔ Answer: -3

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#### Example 42:
42) 5 - 6 = ?
→ $ 5 - 6 = -1 $
✔ Answer: -1

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#### Example 43:
43) 8 × 1 - 3 = ?
→ First: $ 8 × 1 = 8 $, then $ 8 - 3 = 5 $
✔ Answer: 5

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#### Example 44:
44) -3 - 2 = ?
→ $ -3 - 2 = -5 $
✔ Answer: -5

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#### Example 45:
45) 12 + 9 = ?
→ $ 12 + 9 = 21 $
✔ Answer: 21

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#### Example 46:
46) -6 + 7 = ?
→ $ -6 + 7 = 1 $
✔ Answer: 1

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#### Example 47:
47) -4 × 3 = ?
→ $ 4 × 3 = 12 $, one negative → -12
✔ Answer: -12

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#### Example 48:
48) 18 - 13 = ?
→ $ 18 - 13 = 5 $
✔ Answer: 5

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#### Example 49:
49) -3 - 7 = ?
→ $ -3 - 7 = -10 $
✔ Answer: -10

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#### Example 50:
50) -16 × -2 = ?
→ Two negatives → positive → $ 16 × 2 = 32 $
✔ Answer: 32

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#### Example 51:
51) -5 × 4 = ?
→ $ 5 × 4 = 20 $, one negative → -20
✔ Answer: -20

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#### Example 52:
52) -1 × 8 = ?
→ $ -1 × 8 = -8 $
✔ Answer: -8

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#### Example 53:
53) -3 × 5 = ?
→ $ 3 × 5 = 15 $, one negative → -15
✔ Answer: -15

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#### Example 54:
54) 9 × -2 = ?
→ $ 9 × 2 = 18 $, one negative → -18
✔ Answer: -18

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#### Example 55:
55) -7 × 4 = ?
→ $ 7 × 4 = 28 $, one negative → -28
✔ Answer: -28

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#### Example 56:
56) -1 × 1 = ?
→ $ -1 × 1 = -1 $
✔ Answer: -1

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#### Example 57:
57) 8 × -9 = ?
→ $ 8 × 9 = 72 $, one negative → -72
✔ Answer: -72

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#### Example 58:
58) -4 × 4 = ?
→ $ 4 × 4 = 16 $, one negative → -16
✔ Answer: -16

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#### Example 59:
59) -12 × -6 = ?
→ Two negatives → positive → $ 12 × 6 = 72 $
✔ Answer: 72

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#### Example 60:
60) -11 × 8 = ?
→ $ 11 × 8 = 88 $, one negative → -88
✔ Answer: -88

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#### Example 61:
61) 12 × 6 = ?
→ $ 12 × 6 = 72 $
✔ Answer: 72

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#### Example 62:
62) -8 × -3 = ?
→ Two negatives → positive → $ 8 × 3 = 24 $
✔ Answer: 24

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#### Example 63:
63) -7 × 6 = ?
→ $ 7 × 6 = 42 $, one negative → -42
✔ Answer: -42

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#### Example 64:
64) -9 × 4 = ?
→ $ 9 × 4 = 36 $, one negative → -36
✔ Answer: -36

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#### Example 65:
65) 11 × 11 = ?
→ $ 11 × 11 = 121 $
✔ Answer: 121

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#### Example 66:
66) 9 × -1 = ?
→ $ 9 × 1 = 9 $, one negative → -9
✔ Answer: -9

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#### Example 67:
67) -33 × -3 = ?
→ Two negatives → positive → $ 33 × 3 = 99 $
✔ Answer: 99

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#### Example 68:
68) -12 × 3 = ?
→ $ 12 × 3 = 36 $, one negative → -36
✔ Answer: -36

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#### Example 69:
69) 27 × -2 = ?
→ $ 27 × 2 = 54 $, one negative → -54
✔ Answer: -54

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#### Example 70:
70) -18 × -3 = ?
→ Two negatives → positive → $ 18 × 3 = 54 $
✔ Answer: 54

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#### Example 71:
71) -54 × 6 = ?
→ $ 54 × 6 = 324 $, one negative → -324
✔ Answer: -324

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#### Example 72:
72) -35 × -1 = ?
→ Two negatives → positive → $ 35 × 1 = 35 $
✔ Answer: 35

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#### Example 73:
73) 36 × -3 = ?
→ $ 36 × 3 = 108 $, one negative → -108
✔ Answer: -108

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#### Example 74:
74) -46 × -7 = ?
→ Two negatives → positive → $ 46 × 7 = 322 $
✔ Answer: 322

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#### Example 75:
75) 66 × -11 = ?
→ $ 66 × 11 = 726 $, one negative → -726
✔ Answer: -726

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#### Example 76:
76) 27 × -4 = ?
→ $ 27 × 4 = 108 $, one negative → -108
✔ Answer: -108

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#### Example 77:
77) -40 × -8 = ?
→ Two negatives → positive → $ 40 × 8 = 320 $
✔ Answer: 320

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#### Example 78:
78) 90 × -3 = ?
→ $ 90 × 3 = 270 $, one negative → -270
✔ Answer: -270

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#### Example 79:
79) -40 × -2 = ?
→ Two negatives → positive → $ 40 × 2 = 80 $
✔ Answer: 80

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#### Example 80:
80) -130 × 10 = ?
→ $ 130 × 10 = 1300 $, one negative → -1300
✔ Answer: -1300

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#### Example 81:
81) -10 × 30 = ?
→ $ 10 × 30 = 300 $, one negative → -300
✔ Answer: -300

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#### Example 82:
82) 30 × 90 = ?
→ $ 30 × 90 = 2700 $
✔ Answer: 2700

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#### Example 83:
83) 40 × 50 = ?
→ $ 40 × 50 = 2000 $
✔ Answer: 2000

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#### Example 84:
84) -88 × 6 = ?
→ $ 88 × 6 = 528 $, one negative → -528
✔ Answer: -528

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#### Example 85:
85) -70 × 10 = ?
→ $ 70 × 10 = 700 $, one negative → -700
✔ Answer: -700

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#### Example 86:
86) 40 × -60 = ?
→ $ 40 × 60 = 2400 $, one negative → -2400
✔ Answer: -2400

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#### Example 87:
87) -120 × 80 = ?
→ $ 120 × 80 = 9600 $, one negative → -9600
✔ Answer: -9600

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#### Example 88:
88) 35 × -200 = ?
→ $ 35 × 200 = 7000 $, one negative → -7000
✔ Answer: -7000

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#### Example 89:
89) -150 × 90 = ?
→ $ 150 × 90 = 13500 $, one negative → -13500
✔ Answer: -13500

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#### Example 90:
90) 54 × -72 = ?
→ $ 54 × 72 = 3888 $, one negative → -3888
✔ Answer: -3888

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#### Example 91:
91) 16 × -41 = ?
→ $ 16 × 41 = 656 $, one negative → -656
✔ Answer: -656

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#### Example 92:
92) 35 × -62 = ?
→ $ 35 × 62 = 2170 $, one negative → -2170
✔ Answer: -2170

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#### Example 93:
93) 89 × -111 = ?
→ $ 89 × 111 = 9879 $, one negative → -9879
✔ Answer: -9879

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#### Example 94:
94) -63 × -24 = ?
→ Two negatives → positive → $ 63 × 24 = 1512 $
✔ Answer: 1512

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#### Example 95:
95) 14 × -33 = ?
→ $ 14 × 33 = 462 $, one negative → -462
✔ Answer: -462

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#### Example 96:
96) -88 × -19 = ?
→ Two negatives → positive → $ 88 × 19 = 1672 $
✔ Answer: 1672

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#### Example 97:
97) -47 × 32 = ?
→ $ 47 × 32 = 1504 $, one negative → -1504
✔ Answer: -1504

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#### Example 98:
98) 16 × -56 = ?
→ $ 16 × 56 = 896 $, one negative → -896
✔ Answer: -896

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#### Example 99:
99) 146 × -200 = ?
→ $ 146 × 200 = 29200 $, one negative → -29200
✔ Answer: -29200

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✔ Final Answer Summary (First 10)

| # | Problem | Answer |
|---|------------------|--------|
| 1 | 3 × -4 | -12 |
| 2 | -1 × 9 | -9 |
| 3 | 5 × -8 | -40 |
| 4 | 7 × -3 | -21 |
| 5 | -6 × 4 | -24 |
| 6 | -2 × -2 | 4 |
| 7 | 7 × -9 | -63 |
| 8 | -4 × 5 | -20 |
| 9 | -8 × -6 | 48 |
|10 | -11 × -7 | 77 |

And so on...

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🎯 Tips for Speed & Accuracy:

1. Know your multiplication tables — especially up to 12×12.
2. Focus on signs first: Determine if the answer is positive or negative.
3. Multiply absolute values, then apply sign rules.
4. Practice mental math — this will help in the 10-minute challenge.

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