Theory:

  • Integers are the set of positive and negative numbers and zero.
  • Integers is nothing but a whole number with negative numbers.
  • Usually for better understanding integers are represented in a number line.
  • Negative numbers will be on the left side of the number line, and positive numbers will be on the right side of  the number line.
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Example:
The examples of negative integers are \(-1\), \(-2\), \(-2199\).
 
The examples of positive integers are \(1\), \(38\), \(48\), \(122\).
 
The number \(0\) is neither negative nor positive.
Negative numbers are always lesser than zero and positive numbers.
1)3<02)311<03)210>510004)200<500
 
Reflection of a number:
Reflection of a number will have the same absolute value as that number but with a different sign.
Reflection of a number will be \(=-(\)absolute value of the number\()\)
Example:
Reflection of \(-1\) is \(-(-1) = +1\)
 
Reflection of \(20\) is \(-20\)
The distance between the positive number and zero in a number line will be equal to the distance between the reflection of the same negative number and zero.
Distance between \((-x)\) and \(0\) in number line \(=\) Distance between \(x\) and \(0\) in a number line.
Example:
Let us take a number \(+1\) its distance in the number line from \(0\) is \(1\).
 
Reflection of \(+1\) will be \(-(1)\) and its distance in the number line from \(0\) is also \(1\).
 
Distance between \(-20\) and \(0\) is \(20 =\) Distance between \(20\) and \(0\).
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Important!
Numbers with decimals (\(0.21\), \(2.35\)), irrational numbers \(π≈3.14\), square roots - \(\sqrt{2}\), \(\sqrt{3}\) are not integers.