Answer
Verified
497.1k+ views
Hint: All values of x will give an integer value for the fraction. By number system -7 is the smallest value in all of them.
Complete step-by-step answer:
We have a fraction, $\dfrac{7}{{\text{x}}}$. We need to find x such that the fraction becomes integer.
As we are dividing 7 by another number, it needs to be either multiple of 7 or 1 or -1. Since, 7 is a prime number.
We have four options 1, -1, 7 and -7. All the options are either the multiple of 7 or -1 or 1.
So, all options will give an integer after dividing 7 by each of them.
We need to find the smallest value of x. So, we know that by number system.
-7<-6<-5<-4<-3<-2<-1<0<1<2<3<4<5<6<7
So, -7 is the smallest value of x.
Note: Always pay attention to each word of the question. A prime number is only divisible by itself or 1.
e.g. 2,3,7,etc.
Complete step-by-step answer:
We have a fraction, $\dfrac{7}{{\text{x}}}$. We need to find x such that the fraction becomes integer.
As we are dividing 7 by another number, it needs to be either multiple of 7 or 1 or -1. Since, 7 is a prime number.
We have four options 1, -1, 7 and -7. All the options are either the multiple of 7 or -1 or 1.
So, all options will give an integer after dividing 7 by each of them.
We need to find the smallest value of x. So, we know that by number system.
-7<-6<-5<-4<-3<-2<-1<0<1<2<3<4<5<6<7
So, -7 is the smallest value of x.
Note: Always pay attention to each word of the question. A prime number is only divisible by itself or 1.
e.g. 2,3,7,etc.
Recently Updated Pages
10 Examples of Evaporation in Daily Life with Explanations
10 Examples of Diffusion in Everyday Life
1 g of dry green algae absorb 47 times 10 3 moles of class 11 chemistry CBSE
If the coordinates of the points A B and C be 443 23 class 10 maths JEE_Main
If the mean of the set of numbers x1x2xn is bar x then class 10 maths JEE_Main
What is the meaning of celestial class 10 social science CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In the tincture of iodine which is solute and solv class 11 chemistry CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE