Which expressions show how 8 • 54 can be rewritten using the distributive property? Choose all answers that are correct. A. 8 • 50 + 4 B. 8 • 50 + 8 • 4 C. 8 • 60 – 8 • 6 D. 8 • 60 + 8 • 4

Respuesta :

The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition".
Formally, they write this 
property as "a(b + c) = ab + ac".
In 
numbers, this means, that 2(3 + 4) = 2×3 + 2×4.
Hence,
8 • 54=8 • 50 + 8 • 4
Option B is the right answer

Given the expression, 8 × 54, if we apply the distributive property, it can be rewritten as:

B. 8 × 50 + 8 × 4

Recall:

If a, b, and c are integers, based on the distributive property, the following will hold true:

  • a × (b + c) = (a × b) + (a × c)

Thus, given the expression: 8 × 54, by applying the distributive property stated above, we can rewrite it as:

  • 8 × 54 = 8 × 50 + 8 × 4

This is true because what you will have on the left side would be equal to what you have on the right.

  • Thus:

432 = 400 + 32

432 = 432

Therefore, given the expression, 8 × 54, if we apply the distributive property, it can be rewritten as:

B. 8 × 50 + 8 × 4

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