Write a pair of negative integers whose difference gives 8.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

A pair of negative integers whose difference gives 8 is -1 and -9. Another such pair that gives a difference of 8 on subtracting two negative integers is -2 and -10. There are many types of numbers. Negative integers refer to numbers that are less than zero in value. They are written with a minus sign as a prefix. We have provided the solution below as to how to find a pair of negative integers whose difference will give the 8.

Table of content

1. A Pair of Negative Integers Whose Difference is 8
2. What are Negative Integers?
3. Write a pair of negative integers whose difference gives 8.

A Pair of Negative Integers Whose Difference is 8

To find a pair of interiors whose difference gives 8, we need two negative integers. Let us assume these as x and y.

Since, we already know the difference between a and b will be 8. Hence,
x−y= 8 and

y= x−8

Now, as we need a negative integer, let us assume the value of x to be -1. Now, let us rewrite the equation above by considering x = -1.

y= −1−8

y= −9

Thus,

x-y = 8

becomes, -1 -(-9) = 8

Hence, the two negative integers whose difference gives 8 are -1 and -9.

Alternative Solution

Another solution for the problem of finding two negative integers whose difference gives 8 can be -10 and -2.

As we all know,

10-2 = 8

We can convert both these numbers as negative integers and solve it as follows,

-2 – (-10)

= -2 + 10

= 10-2 = 8

Hence, the two negative integers whose difference gives 8 are also -10 and -2.

What are Negative Integers?

Negative integers refer to the numbers with a value that is less than zero. These numbers are generally identified by having the minus sign as subtract. Examples include -1, -5, -7, etc. Negative integers are whole and are not decimals or fractions. On the number line, they are on the left side of the zero.

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