Question

solve the following using distributive property {9/16×4/12} + { 9/16 {-3/9}}​

Answer 1

Answer- The above question is from the chapter 'Rational Numbers'.

Distributive property is represented by:

a×b + a×c= a× (b+c)

The given question {9/16×4/12} + {9/16×-3/9} is of the form a×b + a×c.

Solution: By distributive property,

{9/16×4/12} + {9/16×-3/9}

= 9/16 × {4/12+ (-3/9)}

= 9/16 × (12-12)/36

= 9/16× 0/36

= 9/16× 0

= 0 (∵ Anything multiplied by 0 results in 0.)

∴ Required answer= 0

Answer 2

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$(\frac{9}{16} \times \frac{4}{12} ) + ( \frac{9}{16} \times \frac{ - 3}{9} )$

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What is distributive property?

》It's one of the most famous and frequency used properties in mathematics. It states that if X, Y, Z are three numbers... then

(X×Y)+(X×Z)=X×(Y+Z)

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$\huge{\mathbb{\underline{\red{SOLUTION}}}}$

$( \frac{9}{16} \times \frac{4}{12} ) + ( \frac{9}{16} \times \frac{ - 3}{9} ) \\ = \frac{9}{16} \times ( \frac{4}{12} + \frac{ - 3}{9} ) \\ = \frac{9}{16} \times ( \frac{1}{3} + \frac{ - 1}{3} ) \\ = \frac{9}{16} \times 0 \\ = 0$

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