Let’s solve each fact family triangle one by one.
A “fact family” for multiplication and division means we use the three numbers in the triangle to write four related math facts:
- Two multiplication facts
- Two division facts
The top number is usually the product (result of multiplication), and the two bottom numbers are the factors.
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First Triangle: 18, 6, 3
Check: 6 × 3 = 18 → correct
So the facts are:
- 6 × 3 = 18
- 3 × 6 = 18
- 18 ÷ 6 = 3
- 18 ÷ 3 = 6
✔ All work.
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Second Triangle: 30, 6, 5
Check: 6 × 5 = 30 → correct
Facts:
- 6 × 5 = 30
- 5 × 6 = 30
- 30 ÷ 6 = 5
- 30 ÷ 5 = 6
✔ All work.
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Third Triangle: 24, 6, 4
Check: 6 × 4 = 24 → correct
Facts:
- 6 × 4 = 24
- 4 × 6 = 24
- 24 ÷ 6 = 4
- 24 ÷ 4 = 6
✔ All work.
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Fourth Triangle: 36, 6, 6
Check: 6 × 6 = 36 → correct
Facts:
- 6 × 6 = 36
- 6 × 6 = 36 (same both ways since both numbers are equal)
- 36 ÷ 6 = 6
- 36 ÷ 6 = 6 (again, same because divisor and quotient are same)
Even though some facts look repeated, they’re still valid — it’s just that when both factors are the same, you get fewer unique equations. But technically, all four facts are still true.
✔ All work.
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All four triangles show correct fact families. The student doesn’t need to do anything else — these are already solved correctly as shown.
Final Answer:
All fact families are correct as written. Each triangle shows a complete set of multiplication and division facts using the three numbers given.
Parent Tip: Review the logic above to help your child master the concept of 4 grade math flashcards.
