Question

Which of the following is distributive property of multiplication over addition * (a) 57 x 104 = 57 x (100 + 4) (b) 57 x 104 = 104 x 57 (c) 69 x 14 - 69 x 4= 69 x (14 - 4) (d) All​

Answer 1

Answer:

69×14-69×4=69

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following is distributive property of multiplication over addition

(a) 57 x 104 = 57 x (100 + 4)

(b) 57 x 104 = 104 x 57

(c) 69 x 14 - 69 x 4 = 69 x (14 - 4)

(d) All

CONCEPT TO BE IMPLEMENTED

Distributive PROPERTY :

For there real numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

EVALUATION

CHECKING FOR OPTION : a

57 x 104

= 57 x (100 + 4)

= ( 57 × 100 ) + ( 57 × 4 )

So this option is not correct

CHECKING FOR OPTION : b

57 x 104 = 104 x 57

This property is called commutative pr under multiplication

CHECKING FOR OPTION : c

69 x 14 - 69 x 4 = 69 x (14 - 4)

This property is distributive property of multiplication over addition

FINAL ANSWER

Hence the correct option is

(c) 69 x 14 - 69 x 4 = 69 x (14 - 4)

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