Let's solve each problem step by step, following the rules for
multiplying and dividing integers:
🔷 Rules to Remember:
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Positive × Positive = Positive
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Negative × Negative = Positive
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Positive × Negative = Negative
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Negative ÷ Negative = Positive
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Positive ÷ Negative = Negative
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Zero times anything = 0
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Now let’s go through each problem:
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1) $ 28 \div 7 = 4 $
✔ (Positive ÷ Positive = Positive)
2) $ 5 \times (-5) = -25 $
✔ (Positive × Negative = Negative)
3) $ 1 \times 2 = 2 $
✔ (Positive × Positive = Positive)
4) $ 9 \div (-1) = -9 $
✔ (Positive ÷ Negative = Negative)
5) $ (-21) \div (-7) = 3 $
✔ (Negative ÷ Negative = Positive)
6) $ 0 \times 5 \times (-2) = 0 $
✔ (Any number multiplied by 0 is 0)
7) $ (-7) \times (-9) \times (-9) $
First: $ (-7) \times (-9) = 63 $ (Negative × Negative = Positive)
Then: $ 63 \times (-9) = -567 $ (Positive × Negative = Negative)
✔ Answer: -567
8) $ (-2) \times (-6) \times (-7) $
First: $ (-2) \times (-6) = 12 $
Then: $ 12 \times (-7) = -84 $
✔ Answer: -84
9) $ 9 \times (-10) = -90 $
✔ (Positive × Negative = Negative)
10) $ 6 \div 6 = 1 $
✔ (Positive ÷ Positive = Positive)
11) $ (-81) \div (-9) = 9 $
✔ (Negative ÷ Negative = Positive)
12) $ (-7) \times 3 \times (-6) $
First: $ (-7) \times 3 = -21 $
Then: $ -21 \times (-6) = 126 $
✔ Answer: 126
13) $ (-3) \times 4 \times (-4) $
First: $ (-3) \times 4 = -12 $
Then: $ -12 \times (-4) = 48 $
✔ Answer: 48
14) $ (-6) \times 7 \times (-6) $
First: $ (-6) \times 7 = -42 $
Then: $ -42 \times (-6) = 252 $
✔ Answer: 252
15) $ 9 \times (-9) \times (-9) $
First: $ 9 \times (-9) = -81 $
Then: $ -81 \times (-9) = 729 $
✔ Answer: 729
16) $ (-20) \div 2 = -10 $
✔ (Negative ÷ Positive = Negative)
17) $ (-9) \times 7 \times (-7) $
First: $ (-9) \times 7 = -63 $
Then: $ -63 \times (-7) = 441 $
✔ Answer: 441
18) $ 7 \times 2 = 14 $
✔ (Positive × Positive = Positive)
19) $ 4 \div 1 = 4 $
✔ (Positive ÷ Positive = Positive)
20) $ 5 \times 5 \times (-7) $
First: $ 5 \times 5 = 25 $
Then: $ 25 \times (-7) = -175 $
✔ Answer: -175
21) $ (-16) \div 4 = -4 $
✔ (Negative ÷ Positive = Negative)
22) $ (-5) \times 4 = -20 $
✔ (Negative × Positive = Negative)
23) $ (-12) \div (-6) = 2 $
✔ (Negative ÷ Negative = Positive)
24) $ (-12) \div (-3) = 4 $
✔ (Negative ÷ Negative = Positive)
25) $ (-2) \div (-2) = 1 $
✔ (Negative ÷ Negative = Positive)
26) $ 5 \times 4 = 20 $
✔ (Positive × Positive = Positive)
27) $ (-9) \times 4 = -36 $
✔ (Negative × Positive = Negative)
28) $ (-2) \times (-3) = 6 $
✔ (Negative × Negative = Positive)
29) $ 10 \times (-3) \times (-7) $
First: $ 10 \times (-3) = -30 $
Then: $ -30 \times (-7) = 210 $
✔ Answer: 210
30) $ (-6) \times (-6) = 36 $
✔ (Negative × Negative = Positive)
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✔ Final Answers:
1) 4
2) -25
3) 2
4) -9
5) 3
6) 0
7) -567
8) -84
9) -90
10) 1
11) 9
12) 126
13) 48
14) 252
15) 729
16) -10
17) 441
18) 14
19) 4
20) -175
21) -4
22) -20
23) 2
24) 4
25) 1
26) 20
27) -36
28) 6
29) 210
30) 36
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Let me know if you'd like this in a printable format or with explanations for any specific ones!
Parent Tip: Review the logic above to help your child master the concept of multiplying integers worksheet 7th grade.