Question

help me fast in math​

Answer 1

Answer:

$(a)\ \bigg[\dfrac{-1}{4}\times \dfrac{2}{5}\bigg] + \bigg[\dfrac{-1}{4}\times \dfrac{-5}{6}\bigg]$

is the correct option.

Step-by-step explanation:

Given Question :

$\mathrm{-\dfrac{1}{4} \times \bigg[\dfrac{2}{5}+ \dfrac{-5}{6}\bigg]}$

To find :

The value of the given expression form the following options :

$(a)\ \bigg[\dfrac{-1}{4}\times \dfrac{2}{5}\bigg] + \bigg[\dfrac{-1}{4}\times \dfrac{-5}{6}\bigg]$

$(b)\ \bigg[\dfrac{-1}{4}\times \dfrac{2}{5}\bigg] - \bigg(\dfrac{-5}{6}\bigg)$

$(c)\ \dfrac{2}{5} + \bigg[\dfrac{-1}{4}\times \dfrac{-5}{6}\bigg]$

$(d)\ \bigg[\dfrac{2}{5} + \dfrac{-5}{6}\bigg] - \dfrac{1}{4}$

Solution :

We know that, from the distributive property,

If a, b and c are numbers, then,

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

So, as the given question is,

$\longmapsto \mathrm{-\dfrac{1}{4} \times \bigg[\dfrac{2}{5}+ \bigg(\dfrac{-5}{6}\bigg)\bigg]}$

Here, a = -1/4 ; b = 2/5 ; c = -5/6

So, according to the property, we can say that,

$\bigg[\dfrac{-1}{4}\times \dfrac{2}{5}\bigg] + \bigg[\dfrac{-1}{4}\times \dfrac{-5}{6}\bigg]$

Thus, option (a) is the correct answer.

❖ Extra information :

⟡ What is Distributive identity in multiplication?

=> Multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

It is represented by =>

a × (b + c) = a × b + a × c

Hope it helps!!