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Verify the following and name the property:$-66( 50+2)=( -66) \times 50+( -66)\times2$
Given: Expression: $-66( 50+2)=( -66) \times 50+( -66)+2$
To do: To verify the given expression and name the property.
Solution:
Given expression is: $-66( 50+2)=( -66) \times 50+( -66)\times2$
$L..H.S.=-66( 50+2)$
$=-66( 52)$
$=-3432$
$R.H.S.=( -66) \times 50+( -66)\times2$
$=-3300-132$ [$\because ( -66) \times 50=-3300$ and $( -66)\times2=-132$]
$=-3432$
Thus, $L.H.S.=R.H.S.$ [The expression verified]
Distributive property in the expression.
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