Question

Write all the integers between the pair: \[ - 8\] and \[ - 15\].

Answer 1

Hint: Here, we will write the integer that comes to the left of \[ - 8\], the number that comes to the left of \[ - 9\] and so on until we get the integer \[ - 15\]. The required integers will be the integers that lie on the left of \[ - 8\] and on the right of \[ - 15\]. The collection of all negative numbers and whole numbers is called integers.

Complete step by step answer:
Whole numbers include all the numbers starting from 0, that is 0, 1, 2, 3 and so on.
Negative numbers are like whole numbers, but they are less than 0. They are denoted with a \[ - \] sign before the number. The numbers \[ - 8\], \[ - 7\], \[ - 15\], etc. are all examples of negative numbers.
Integers include all the whole numbers and negative numbers. The collection of all negative numbers and whole numbers is called integers.
The numbers 1, 2, 3, …are the positive integers and the numbers \[ - 1, - 2, - 3,\]… are the negative integers.
Now, the given numbers are the negative integers \[ - 8\] and \[ - 15\].
We will find the integers between the pair: \[ - 8\] and \[ - 15\].
The required integers will be the integers that lie on the left of \[ - 8\] and on the right of \[ - 15\] on the number line.
The number that comes to the left of \[ - 8\] on the number line is \[ - 9\].
The number that comes to the left of \[ - 9\] on the number line is \[ - 10\].
The number that comes to the left of \[ - 10\] on the number line is \[ - 11\].
The number that comes to the left of \[ - 11\] on the number line is\[ - 12\].
The number that comes to the left of \[ - 12\] on the number line is \[ - 13\].
The number that comes to the left of \[ - 13\] on the number line is \[ - 14\].
The number that comes to the left of \[ - 14\] on the number line is \[ - 15\].
Thus, the integers that lie between the numbers \[ - 8\] and \[ - 15\] are \[ - 9\], \[ - 10\], \[ - 11\], \[ - 12\], \[ - 13\], and \[ - 14\].
Hence, we get all the integers that lie between the numbers \[ - 8\] and \[ - 15\].

Note:
An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. Similarly integers are of two type
 i)Positive Integers e.g 1,2,3,56,89 etc.
ii)Negative integers e.g -2,-5,-897,-1000 etc.