all identity of chapter the number system
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Number system is system of Numeration. It is a writing system for expressing number. Typically used to count numbers, measure temperature, find area of an object, and numerically represent any data.
Natural Numbers: Natural numbers were the first to come. They are denoted by N. These numbers can be counted on fingers. E.g.: 1, 2, 3, 4, 5, 6, 10, 15, 20, 21 etc
Whole Number: Aryabahatta, famous Mathematician gave ‘0’ to the number system. It is very powerful number. Anything multiplied by 0 become 0.Note that Whole number has only positive numbers.
Integers: Field of Mathematics advanced & there was a need for Negative numbers as well. If we add negative numbers to the whole number, we get Integers. It is denoted by “Z”.
Rational Numbers: Numbers that can be represented in the form of p/q where P& Q are Integers & q≠ 0 were called Rational Number.
Irrational Numbers: some numbers that can’t be written in the form of p/q where p& q are integers & q≠0. They call it irrational Numbers. Eg √2, √3
Real number: Both Rational & Irrational Numbers together forms Ream number. It is denoted by R. Evert point on the number line is a Real number. E.g.: √2, -7, 4/9 , 0, 5 etc. All rational numbers are real number. All irrational numbers are real number, but the reverse is not true.
HOPE IT HELPS ☺️
Number system is system of Numeration. It is a writing system for expressing number. Typically used to count numbers, measure temperature, find area of an object, and numerically represent any data.
Natural Numbers: Natural numbers were the first to come. They are denoted by N. These numbers can be counted on fingers. E.g.: 1, 2, 3, 4, 5, 6, 10, 15, 20, 21 etc
Whole Number: Aryabahatta, famous Mathematician gave ‘0’ to the number system. It is very powerful number. Anything multiplied by 0 become 0.Note that Whole number has only positive numbers.
Integers: Field of Mathematics advanced & there was a need for Negative numbers as well. If we add negative numbers to the whole number, we get Integers. It is denoted by “Z”.
Rational Numbers: Numbers that can be represented in the form of p/q where P& Q are Integers & q≠ 0 were called Rational Number.
Irrational Numbers: some numbers that can’t be written in the form of p/q where p& q are integers & q≠0. They call it irrational Numbers. Eg √2, √3
Real number: Both Rational & Irrational Numbers together forms Ream number. It is denoted by R. Evert point on the number line is a Real number. E.g.: √2, -7, 4/9 , 0, 5 etc. All rational numbers are real number. All irrational numbers are real number, but the reverse is not true.
HOPE IT HELPS ☺️
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