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Math worksheet for practicing inverse relationships between multiplication and division.

A math worksheet titled "Inverse Relationships (A)" with fill-in-the-blank multiplication and division problems.

A math worksheet titled "Inverse Relationships (A)" with fill-in-the-blank multiplication and division problems.

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Show Answer Key & Explanations Step-by-step solution for: Inverse Relationships -- Multiplication and Division All Inverse ...
Let me work through each problem step by step.

Column 1:
- 2 × 6 = 12
- 6 × __ = 12 → 6 × 2 = 12, so answer is 2
- 12 ÷ __ = 2 → 12 ÷ 6 = 2, so answer is 6
- 12 ÷ 2 = 6

Column 2:
- 7 × 4 = 28
- 4 × __ = 28 → 4 × 7 = 28, so answer is 7
- __ ÷ 4 = 7 → 28 ÷ 4 = 7, so answer is 28
- 28 ÷ __ = 4 → 28 ÷ 7 = 4, so answer is 7

Column 3:
- 3 × 4 = 12
- 4 × __ = 12 → 4 × 3 = 12, so answer is 3
- 12 ÷ 4 = 3
- 12 3 = 4

Column 4:
- 7 × 8 = 56
- 8 × 7 = 56
- 56 ÷ 8 = 7
- __ ÷ 7 = 8 → 56 ÷ 7 = 8, so answer is 56

Row 2, Column 1:
- 4 × 5 = 20
- __ × 4 = 20 → 5 × 4 = 20, so answer is 5
- __ ÷ 5 = 4 → 20 ÷ 5 = 4, so answer is 20
- 20 ÷ __ = 5 → 20 4 = 5, so answer is 4

Row 2, Column 2:
- 8 × 7 = 56
- 7 × 8 = 56
- 56 ÷ 7 = 8
- __ ÷ 8 = 7 → 56 ÷ 8 = 7, so answer is 56

Row 2, Column 3:
- 6 × 9 = 54
- 9 × 6 = 54
- 54 ÷ 9 = 6
- 54 6 = 9

Row 2, Column 4:
- 5 × 2 = 10
- __ × 5 = 10 → 2 × 5 = 10, so answer is 2
- __ ÷ 2 = 5 → 10 ÷ 2 = 5, so answer is 10
- 10 ÷ 5 = 2

Row 3, Column 1:
- 9 × 5 = 45
- 5 × 9 = 45
- 45 ÷ 5 = 9
- 45 9 = 5

Row 3, Column 2:
- 8 × 5 = 40
- __ × 8 = 40 → 5 × 8 = 40, so answer is 5
- 40 ÷ 5 = 8
- __ ÷ 8 = 5 → 40 ÷ 8 = 5, so answer is 40

Row 3, Column 3:
- 8 × 8 = 64
- 8 × 8 = 64
- 64 ÷ 8 = 8
- 64 ÷ 8 = 8

Row 3, Column 4:
- 7 × 2 = 14
- 2 × __ = 14 → 2 × 7 = 14, so answer is 7
- __ ÷ 2 = 7 → 14 ÷ 2 = 7, so answer is 14
- __ ÷ 7 = 2 → 14 ÷ 7 = 2, so answer is 14

Row 4, Column 1:
- 8 × 8 = 64
- 8 × __ = 64 → 8 × 8 = 64, so answer is 8
- 64 ÷ 8 = 8
- 64 __ = 8 → 64 ÷ 8 = 8, so answer is 8

Row 4, Column 2:
- 7 × 9 = 63
- 9 × __ = 63 → 9 × 7 = 63, so answer is 7
- __ ÷ 9 = 7 → 63 ÷ 9 = 7, so answer is 63
- 63 ÷ 7 = 9

Row 4, Column 3:
- 9 × 2 = 18
- 2 × __ = 18 → 2 × 9 = 18, so answer is 9
- 18 ÷ __ = 9 → 18 ÷ 2 = 9, so answer is 2
- 18 ÷ 9 = 2

Row 4, Column 4:
- 6 × 6 = 36
- __ × 6 = 36 → 6 × 6 = 36, so answer is 6
- 36 ÷ 6 = 6
- 36 ÷ 6 = 6

Row 5, Column 1:
- 7 × 3 = 15
- 3 × 5 = 15
- 15 ÷ __ = 5 → 15 ÷ 3 = 5, so answer is 3
- 15 ÷ 5 = 3

Row 5, Column 2:
- 7 × 7 = 49
- __ × 7 = 49 → 7 × 7 = 49, so answer is 7
- __ ÷ 7 = 7 → 49 ÷ 7 = 7, so answer is 49
- 49 __ = 7 → 49 ÷ 7 = 7, so answer is 7

Row 5, Column 3:
- 4 × 4 = 16
- __ × 4 = 16 → 4 × 4 = 16, so answer is 4
- 16 ÷ __ = 4 → 16 ÷ 4 = 4, so answer is 4
- __ ÷ 4 = 4 → 16 ÷ 4 = 4, so answer is 16

Row 5, Column 4:
- 7 × 3 = 21
- 3 × 7 = 21
- __ ÷ 3 = 7 → 21 ÷ 3 = 7, so answer is 21
- __ ÷ 7 = 3 → 21 ÷ 7 = 3, so answer is 21

Let me verify all answers one more time:

Column 1 (Row 1): 6×2=12 ✓, 12÷6=2 ✓, 12÷2=6 ✓
Column 2 (Row 1): 4×7=28 ✓, 28÷4=7 ✓, 28÷7=4 ✓
Column 3 (Row 1): 4×3=12 ✓, 12÷4=3 ✓, 12÷3=4 ✓
Column 4 (Row 1): 8×7=56 ✓, 56÷8=7 ✓, 56÷7=8 ✓

Row 2, Col 1: 5×4=20 ✓, 20÷5=4 ✓, 20÷4=5 ✓
Row 2, Col 2: 7×8=56 ✓, 56÷7=8 ✓, 56÷8=7 ✓
Row 2, Col 3: 9×6=54 ✓, 54÷9=6 ✓, 54÷6=9 ✓
Row 2, Col 4: 2×5=10 ✓, 10÷2=5 ✓, 10÷5=2 ✓

Row 3, Col 1: 5×9=45 ✓, 45÷5=9 ✓, 45÷9=5 ✓
Row 3, Col 2: 5×8=40 ✓, 40÷5=8 ✓, 40÷8=5 ✓
Row 3, Col 3: 8×8=64 ✓, 64÷8=8 ✓, 64÷8=8 ✓
Row 3, Col 4: 2×7=14 ✓, 14÷2=7 ✓, 14÷7=2 ✓

Row 4, Col 1: 8×8=64 ✓, 64÷8=8 ✓, 64÷8=8 ✓
Row 4, Col 2: 9×7=63 ✓, 63÷9=7 ✓, 63÷7=9 ✓
Row 4, Col 3: 2×9=18 ✓, 18÷2=9 ✓, 18÷9=2 ✓
Row 4, Col 4: 6×6=36 ✓, 36÷6=6 ✓, 36÷6=6 ✓

Row 5, Col 1: 3×5=15 ✓, 15÷3=5 ✓, 15÷5=3 ✓
Row 5, Col 2: 7×7=49 ✓, 49÷7=7 ✓, 49÷7=7 ✓
Row 5, Col 3: 4×4=16 ✓, 16÷4=4 ✓, 16÷4=4 ✓
Row 5, Col 4: 3×7=21 ✓, 21÷3=7 ✓, 21÷7=3 ✓

All answers verified!

Final Answer:

Column 1:
- 6 × 2 = 12
- 12 ÷ 6 = 2
- 12 2 = 6

Column 2:
- 4 × 7 = 28
- 28 4 = 7
- 28 ÷ 7 = 4

Column 3:
- 4 × 3 = 12
- 12 ÷ 4 = 3
- 12 3 = 4

Column 4:
- 8 × 7 = 56
- 56 ÷ 8 = 7
- 56 ÷ 7 = 8

---

Row 2, Column 1:
- 5 × 4 = 20
- 20 ÷ 5 = 4
- 20 ÷ 4 = 5

Row 2, Column 2:
- 7 × 8 = 56
- 56 ÷ 7 = 8
- 56 ÷ 8 = 7

Row 2, Column 3:
- 9 × 6 = 54
- 54 ÷ 9 = 6
- 54 6 = 9

Row 2, Column 4:
- 2 × 5 = 10
- 10 ÷ 2 = 5
- 10 ÷ 5 = 2

---

Row 3, Column 1:
- 5 × 9 = 45
- 45 ÷ 5 = 9
- 45 ÷ 9 = 5

Row 3, Column 2:
- 5 × 8 = 40
- 40 ÷ 5 = 8
- 40 ÷ 8 = 5

Row 3, Column 3:
- 8 × 8 = 64
- 64 ÷ 8 = 8
- 64 ÷ 8 = 8

Row 3, Column 4:
- 2 × 7 = 14
- 14 ÷ 2 = 7
- 14 ÷ 7 = 2

---

Row 4, Column 1:
- 8 × 8 = 64
- 64 ÷ 8 = 8
- 64 8 = 8

Row 4, Column 2:
- 9 × 7 = 63
- 63 ÷ 9 = 7
- 63 ÷ 7 = 9

Row 4, Column 3:
- 2 × 9 = 18
- 18 ÷ 2 = 9
- 18 ÷ 9 = 2

Row 4, Column 4:
- 6 × 6 = 36
- 36 ÷ 6 = 6
- 36 ÷ 6 = 6

---

Row 5, Column 1:
- 3 × 5 = 15
- 15 3 = 5
- 15 ÷ 5 = 3

Row 5, Column 2:
- 7 × 7 = 49
- 49 ÷ 7 = 7
- 49 ÷ 7 = 7

Row 5, Column 3:
- 4 × 4 = 16
- 16 ÷ 4 = 4
- 16 ÷ 4 = 4

Row 5, Column 4:
- 3 × 7 = 21
- 21 ÷ 3 = 7
- 21 7 = 3
Parent Tip: Review the logic above to help your child master the concept of inverse operations questions.
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