The integers room the collection of totality numbers and also their opposites. fractions and decimal space not had in the set of integers.

for example, 2 , 5 , 0 , − 12 , 244 , − 15 and also 8 space all integers.

The number such together 8.5 , 2 3 and also 4 1 3 room not integers.

(Note the a number deserve to be an integer also if it is written as a decimal or a fraction: for example, − 3.00 and 8 2 room both integers, since they are equal come − 3 and 4 , respectively.)

The set of integers is usually represented by the symbol .

ℤ = ... , − 6 , − 5 , − 4 , − 3 , − 2 , − 1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , ...

We have the right to plot the integers as equally spaced clues on a number heat , as presented in the figure. The arrows in ~ the left and right sides show that the integers proceed forever in both directions. The totality numbers better than 0 are dubbed optimistic integers . Your opposites, i m sorry are much less than 0 , are referred to as negative integers . Zero is neither hopeful nor negative.

If two numbers are opposite, they room the very same distance away from zero. For example, 4 and also − 4 room opposites, and also each is 4 systems from zero.

The sum, difference, or product of 2 integers is an integer. Because that example,

Sum: 3 + 4 = 7

Difference: 3 − 5 = − 2

Product: ( − 2 ) ( 3 ) = − 6

The quotient of 2 integers is not constantly an integer.

because that example, 8 ÷ ( − 2 ) = − 4 is one integer due to the fact that it divides evenly.

However, − 2 ÷ 8 = − 2 8 = − 1 4 is no an integer. As soon as a quotient the integers does not divide evenly, the an outcome is a portion .

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Example:

i m sorry of the complying with numbers is an integer?

6.5 , 5 , 2 3 , − 24

6.5 is greater than the creature 6 and less than the integer 7 . The .5 at the finish of the number shows a spring part. So, this is not an integer.

The number 5 has actually a square root sign; its worth is higher than the integer 2 but less 보다 the creature 3 . Since 5 is no a perfect square like 4 or 9 , 5 is no an integer.

The number 2 3 is a portion greater than 0 but less 보다 1 , therefore this is not an integer.

The number − 24 is in the set ... , − 6 , − 5 , − 4 , − 3 , − 2 , − 1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , ...

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