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Math  /  Algebra

QuestionMP. 6 Be Precise Perry counted 8 leaves on each of 9 tree branches. Write a multiplication equation to find how many leaves there are in all. Then use the Commutative Property to find how many leaves there are on 8 tree branches that each have 9 leaves.

Studdy Solution

STEP 1

1. Each tree branch has an equal number of leaves.
2. The Commutative Property of multiplication states that changing the order of the factors does not change the product.

STEP 2

1. Write a multiplication equation for the given scenario.
2. Use the Commutative Property to find the number of leaves in a different configuration.
3. Verify that both configurations yield the same result.

STEP 3

To find the total number of leaves, multiply the number of leaves per branch by the number of branches.
The multiplication equation is: 8×9 8 \times 9

STEP 4

Apply the Commutative Property of multiplication, which states that a×b=b×a a \times b = b \times a .
Reorder the factors in the equation: 9×8 9 \times 8

STEP 5

Calculate both expressions to ensure they yield the same result.
Calculate 8×9 8 \times 9 : 8×9=72 8 \times 9 = 72
Calculate 9×8 9 \times 8 : 9×8=72 9 \times 8 = 72
Both configurations result in 72 leaves.
The total number of leaves is:
72 \boxed{72}

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