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( 14 + 2 ) 2 0 = 5 + 4 0 what type of property is this?

14 2 2 0 5 4 0 What Type Of Property Is This class=

Sagot :

The question provides the relationship as shown below:

[tex](\frac{1}{4}+2)20=5+40[/tex]

If we solve both sides individually, we have the left-hand side to give

[tex](\frac{1}{4}+2)20=45[/tex]

and the right-hand side to give

[tex]5+40=45[/tex]

Since both sides give the same result, we can attempt to manipulate the left-hand side of the equation with a common property we are familiar with: The Distributive Property.

The Distributive Property is written out as shown below:

[tex]a(b+c)=(a\cdot b)+(a\cdot c)[/tex]

Applying this rule to the left-hand side, we get:

[tex]\begin{gathered} (\frac{1}{4}+2)20=\frac{1}{4}\cdot20+2\cdot20 \\ =5+40 \end{gathered}[/tex]

This is the same expression present on the right-hand side of the equation.

Therefore, the property illustrated is the DISTRIBUTIVE PROPERTY.

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