Question

How do you find the value of $ - 2 - 8$?

Answer 1

Hint: In the question we have to operate on these two integers. So, we will use the addition rule of integers to find the value of integers. If we add two integers which have the same sign either positive or negative, we simply add the two integers and put the sign before it.

Complete step by step answer:
Here we have two integers. Integers can be defined basically any and every number without a fractional component. It is represented by the letter \[Z\]. The word integer derived from a Latin word meaning whole. Integer includes all rational numbers except fractions and decimals. If integers are represented on the number line, the positive integers should be written to the right side of zero and negative integers should be written to the left side of zero.
So, to solve these integers we will use the addition rule of integers. It states that if we are adding two integers which have the same sign either positive or negative we simply add the two numbers and put the sign before it.
So, we can find the value of $ - 2 - 8$ as
$ \Rightarrow ( - 2) + ( - 8) = - 10$
Hence, the value of $ - 2 - 8$ is equal to $ - 10$.

Note:
Integers follow the closure property under the operations of addition, subtraction and multiplication that means for any two integers (say $p$ and $q$) if we add, subtract or multiply these two integers the result is also an integer. Note that integers are not closed under division, since $\dfrac{p}{q}$ need to be an integer and can be a fraction.