The concept of a number is connected with the action of counting. So, the natural numbers 1, 2, 3, 4, 5, …… are also called counting numbers. We use ten signs or number 0, 1, 2, 3, 4, 5, 6, 7, 8 and also 9 to denote huge numbers by using place of the number in the provided number.

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What room integers?

The an unfavorable numbers, zero and the organic numbers together room called integers.A repertoire of number which is written as …….. -4, -3, -2, -1, 0, 1, 2, 3, 4……… .These number are referred to as integers.


For example:(i) -8, -2, 0, 2, 8(ii) -7, -1, 0, 5, 12(iii) -15, -9, 11, 21(iv) -10, -3, 0, 9, 14(v) -6, -4, 0, 7, 19

We usually represent numbers by making same spaced pointsone unit personally on a directly horizontal line which is called a number line. Currently extends indefinitely to the left and to the right. A allude O top top the line,called the origin synchronizes to the number 0. So, point A at a street of 9units to the appropriate of zero to represent the number 9 on the number line shownbelow.


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What lies top top the left the 0? Let us think about some that the acquainted things tounderstand about the optimistic number and also the negative number.

We an extremely often hear the the temperature throughout winter wentdown to -2°. We recognize that the temperature in -2° is really cold, it is colderthan 0°c. It method that -2 is smaller sized than 0. Let us see in a thermometer where-2 is located. The is marked below 0.

Tomeasure the depth below the ground level us use negative numbers. Here, 0indicated ground level. Top top a number line a number that is best to the 0 ispositive and also a number left side to the 0 is negative. So, we have actually a brand-new set ofnumbers -1, -2, -3, -4, -5, ….. This are well-known as the an adverse numbers. 


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On the number heat there are confident numbers, negativenumbers and 0. This are called integers. 0 is neither hopeful nor negative.


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The sign prior to thenumber suggests its direction to the best or left the 0. For example +5indicates the the number lies come the ideal of 0 and -5 suggests that thenumber lies to the left the 0. Thus, integers are also called directed numbers.If a number has no authorize it way that the is a confident integer.

Negative Integers

The negative numbers ………. -5, -4, -3, -2, -1 space called an unfavorable integers.Thus, instances of an adverse integers are ……… -5, -4, -3, -2, -1.

Note:

We use the prize ‘-’ to denote an adverse integers and the exact same symbol is provided to show subtraction. But the paper definition will always make it clear whether we mean an adverse integer or subtraction.

Positive Integers

The natural numbers 1, 2, 3, 4, 5, ……… are dubbed positive integers.Thus, instances of confident integers are 1, 2, 3, 4, 5, ………. .

Note:

Positive integers are additionally written as +1, +2, +3, +4, +5, ………… however, the plus authorize (+) is generally omitted and also understood.

The number 0 is just an integer. That is neither confident nor negative.


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● Integers

Representation that Integers on a Number Line.

Addition that Integers ~ above a Number Line.

Rules to include Integers.

Rules come Subtract Integers.

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