Answer

Verified

373.2k+ views

**Hint:**We are given a factor as $-\dfrac{4}{5}$ , we are asked to find the decimal expression for it. We will learn how we convert the fraction into decimal then we work on some examples. For our problem we multiply numerator and denominator by ‘2’ making the numerator as multiple of 10, then once we get it we will put decimal after 1 term from the right.

**Complete step-by-step answer:**

We are given a fraction as $-\dfrac{4}{5}$ , we are asked to change the term into decimal.

To do so we will first know how to change the fraction into decimal.

Now,

To change the terms into decimal we will first make their denominator as multiple of 10 then we will divide the term with that. We do this as this will make calculation little easy and error free.

Because when we divide the term by 10 or 100 or 1000, we do not need to divide it in actual, we just put the decimal after one digit of 2 digit from the right depending upon how many zero it has that is we divide by 10 then we place decimal after 1 term, if we divide by 100 it has 2 zero so we put decimal after 2 place.

For example, say we have $\dfrac{1}{2}$

So, we first make denominator a multiple of 10, denominator has just 2, we multiply it with 5.

The equation needs to keep the same so we multiply and divide the given fraction by 5.

So, $\dfrac{1}{2}=\dfrac{1}{2}\times \dfrac{5}{5}$

Solving we get –

$=\dfrac{5}{10}$

Now, as the denominator is 10, only one zero so decimal is put after 1 term.

So we get –

$=0.5$

Hence $\dfrac{1}{2}=0.5$

Now as like this we work on our problem we have $-\dfrac{4}{5}$ , denominator is 5, so we multiply it by 2 to make it as 10,

To balance the term we multiply numerator and denominator by 2.

So, we get –

$-\dfrac{4}{5}=-\dfrac{4}{5}\times \dfrac{2}{2}$

By simplifying, we get –

$=\dfrac{-8}{10}$

As it has 10 in the denominator, only 1 zero.

So, we put decimal after 1 place so, we get –

$=-0.8$

Hence, $-\dfrac{4}{5}=\dfrac{-8}{10}=-0.8$

**Note:**Another way to solve is to divide the term directly using long division, but this way the calculations in many problems will be little heavy and chances of error will be more.

Now by division directly, we divide 4 by 5

$\begin{align}

& \left. {\underline {\,

5 \,}}\! \right| 40\left| \!{\underline {\,

0.8 \,}} \right. \\

& \text{ 40} \\

& \text{ X} \\

\end{align}$

So, $\dfrac{4}{5}=0.8$

Hence, $-\dfrac{4}{5}=-0.8$

Recently Updated Pages

How do you find slope point slope slope intercept standard class 12 maths CBSE

How do you find B1 We know that B2B+2I3 class 12 maths CBSE

How do you integrate int dfracxsqrt x2 + 9 dx class 12 maths CBSE

How do you integrate int left dfracx2 1x + 1 right class 12 maths CBSE

How do you find the critical points of yx2sin x on class 12 maths CBSE

How do you find the general solution to dfracdydx class 12 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

List some examples of Rabi and Kharif crops class 8 biology CBSE

Which are the Top 10 Largest Countries of the World?

The provincial president of the constituent assembly class 11 social science CBSE

Write the 6 fundamental rights of India and explain in detail