Question

-13/4 lies between which two integers

Answer 1

Step-by-step explanation:

Find two closest multiples of 4, between which the denominator lies.

Here they're - 12 & - 16.

-12/4 =

-3 & -16/4 = -4.

So it lies between - 4 & - 3.

(the smaller integer first!)

Answer 2

given a number, determine between which two integers it lies

Explanation:

1. let the given number be denoted by 'n' and let there be two integers 'a' and 'b' such that $a<b$.
2. Then 'n' lies between 'a' and 'b' if they satisfy the given condition,                       $a<n<b$    
3. we are given $n=\frac{-13}{4}$         =>$n=-3.25$      
4. now, for an integer 'a' such that $a<n$  we have,                                            $a<-3.25$  => hence the nearest integer satisfying this condition is $a=-4$                    
5. now, for an integer 'b' such that $n<b$ we have,                                                             $-3.25<b$  =>hence the nearest integer satisfying this condition is $b=-3$  
6. hence the given number lies between $-3\ and\ -4$.