WHAT IS THE PROPERTY OF THE FOLLOWING ;
a] 570 X 7 +570 X 3
b]4259 X 92 +8 X 4259

a) Consider the following expression.       570×7+570×3The above expression represents the distributive property of multiplication over addition.It states that if a,b and c are any three numbers then we have     ab+c=ab+acUsing this property, the above expression can be reduced to,    570×7+570×3=570×7+3                                 =570×10                                 =5700b) Consider the following expression.      4259×92+8×4259The above expression represents the distributive property of multiplication over addition and the commutative property of multiplicationThe commutative property states that if a and b are any two numbers then we have    a×b=b×aUsing this property, the above expression can be reduced to,    4259×92+8×4259=4259×92+4259×8                                        =4259×92+8                  Using the distributive property stated above                                        =4259×100                                        =425900

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