Is 1/4(8y-12) equivalent to 2y-12 explain why or why not

Mathematics

1 answer:

Vanyuwa [196]2 years ago

8 0

Answer:

Step-by-step explanation:

First simplify the first expression.

Distribute.

1/4(8y-12) = 1/4 * 8y + 1/4 * -12

8y * 1/4 = 8y / 4 = 2y

-12 * 1/4 = -12 / 4 = -3

1/4(8y-12) = 2y - 3

2y - 12 != 2y - 3

So it is not equivalent.

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<h3>What is an array (area) multiplication model?</h3>

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

$\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}$