Fill in the blanks: $ 80 \div (...) = - 5 $ .
Last updated date: 25th Mar 2023
•
Total views: 207.3k
•
Views today: 3.84k
Answer
207.3k+ views
Hint: The given questions involve the concepts of arithmetic. We are given a mathematical equation with a blank space in between and we have to fill up the blank space. Now, in order to fill up the blank space, we will use the method of transposition. Method of transposition involves doing the exact same mathematical thing on both sides of an equation with the aim of simplification in mind. This method can be used to solve various algebraic equations like the one given in question with ease.
Complete step-by-step answer:
Now, in the question given to us, we are provided with a mathematical equation.
So, we have, $ 80 \div (...) = - 5 $
Now, the given mathematical equation is about the division of two numbers to give another number as quotient. So, we can also write the equation as $ \dfrac{{80}}{{\left( {...} \right)}} = - 5 $ .
Let the unknown number in the missing place be x.
Then, we have, $ \dfrac{{80}}{x} = - 5 $ .
Now, we have to find the value of x so as to fill up the missing place in the question.
We would use the method of transposition to find the value of x in $ \dfrac{{80}}{x} = - 5 $ . Now, In order to find the value of x, we need to isolate x from the rest of the parameters.
So, $ \dfrac{{80}}{x} = - 5 $
Shifting x to the right side of the equation and all the rest of the parameters to the left of the equation, we get,
$ \Rightarrow \dfrac{{80}}{{ - 5}} = x $
Carrying out the calculations, we get,
$ \Rightarrow x = - 16 $
Hence, the value of x in $ \dfrac{{80}}{x} = - 5 $ is $ - 16 $ .
So, the number in missing place in the equation $ 80 \div (...) = - 5 $ is $ - 16 $
So, the correct answer is “-16”.
Note: If we add, subtract, multiply or divide by the same number on both sides of a given algebraic equation, then both sides will remain equal. The given problem deals with an algebraic equation. There is no fixed way of solving a given algebraic equation. Algebraic equations can be solved in various ways. Linear equations in one variable can be solved by the transposition method with ease.
Complete step-by-step answer:
Now, in the question given to us, we are provided with a mathematical equation.
So, we have, $ 80 \div (...) = - 5 $
Now, the given mathematical equation is about the division of two numbers to give another number as quotient. So, we can also write the equation as $ \dfrac{{80}}{{\left( {...} \right)}} = - 5 $ .
Let the unknown number in the missing place be x.
Then, we have, $ \dfrac{{80}}{x} = - 5 $ .
Now, we have to find the value of x so as to fill up the missing place in the question.
We would use the method of transposition to find the value of x in $ \dfrac{{80}}{x} = - 5 $ . Now, In order to find the value of x, we need to isolate x from the rest of the parameters.
So, $ \dfrac{{80}}{x} = - 5 $
Shifting x to the right side of the equation and all the rest of the parameters to the left of the equation, we get,
$ \Rightarrow \dfrac{{80}}{{ - 5}} = x $
Carrying out the calculations, we get,
$ \Rightarrow x = - 16 $
Hence, the value of x in $ \dfrac{{80}}{x} = - 5 $ is $ - 16 $ .
So, the number in missing place in the equation $ 80 \div (...) = - 5 $ is $ - 16 $
So, the correct answer is “-16”.
Note: If we add, subtract, multiply or divide by the same number on both sides of a given algebraic equation, then both sides will remain equal. The given problem deals with an algebraic equation. There is no fixed way of solving a given algebraic equation. Algebraic equations can be solved in various ways. Linear equations in one variable can be solved by the transposition method with ease.
Recently Updated Pages
Paulings electronegativity values for elements are class 11 chemistry CBSE

For a particle executing simple harmonic motion the class 11 physics CBSE

Does Nichrome have high resistance class 12 physics CBSE

The function f satisfies the functional equation 3fleft class 12 maths JEE_Main

Write a letter to the Principal of your school to plead class 10 english CBSE

Look at the handout below Write a letter to the organizers class 11 english CBSE

Trending doubts
What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?
