Calculate the result of 3.3 x 2.5 + 5.7 x 2.5.

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Multiple Choice

Calculate the result of 3.3 x 2.5 + 5.7 x 2.5.

Explanation:
To solve the expression \(3.3 \times 2.5 + 5.7 \times 2.5\), you can use the distributive property of multiplication over addition. This means you can factor out the common term \(2.5\): \[ 3.3 \times 2.5 + 5.7 \times 2.5 = (3.3 + 5.7) \times 2.5 \] Now, simplify \(3.3 + 5.7\): \[ 3.3 + 5.7 = 9.0 \] Next, multiply \(9.0\) by \(2.5\): \[ 9.0 \times 2.5 = 22.5 \] Thus, the final result is \(22.5\). This is why the answer is correct — it's achieved through the accurate application of the distributive property and straightforward arithmetic operations.

To solve the expression (3.3 \times 2.5 + 5.7 \times 2.5), you can use the distributive property of multiplication over addition. This means you can factor out the common term (2.5):

[

3.3 \times 2.5 + 5.7 \times 2.5 = (3.3 + 5.7) \times 2.5

]

Now, simplify (3.3 + 5.7):

[

3.3 + 5.7 = 9.0

]

Next, multiply (9.0) by (2.5):

[

9.0 \times 2.5 = 22.5

]

Thus, the final result is (22.5). This is why the answer is correct — it's achieved through the accurate application of the distributive property and straightforward arithmetic operations.

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