69 x 78+ 22 x 69
= 69 (78+22)
= 69 x100
6900
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69 x 78+ 22 x 69
= 69 (78+22)
= 69 x100
6900
Verified answer
To Find: To solve the expression 69 × 78 + 22 × 69 using distribute propertySolution:
In order to solve the above expression, first we need to understand what does Distributive Property mean.
Let us consider three numbers A,B and C. According to the Distributive Property, the formula is given by the following equation given below :-
A × B + A × C = A × ( B + C )
Therefore suppose if we assign values to A,B and C with respect to the question, it becomes like
A = 69, B = 78, C= 22,
Now we get,
A × B + C × A = A × B + A × C. we know that ( A × C = C × A ) ---> Commutative Law
A × B + A × C = A × ( B + C ). Distributive Law
Therefore, Substituting the value of A,B,C
A × B + A × C = 69 × 78 + 69 × 22 = 69 × ( 78 + 22 ) = 69 × 100 = 6900.
Hence, the answer is 6900.