Question

explain maths integers​

Answer 1

Answer:

An integer is a number that does not have a fractional part. The set of integers is

\mathbb{Z}=\{\cdots -4, -3, -2, -1, 0, 1, 2, 3, 4 \dots\}.Z={⋯−4,−3,−2,−1,0,1,2,3,4…}.

The notation \mathbb{Z}Z for the set of integers comes from the German word Zahlen, which means "numbers". Integers strictly larger than zero are positive integers and integers strictly less than zero are negative integers.

For example, 22, 6767, 00, and -13−13 are all integers (2 and 67 are positive integers and -13 is a negative integer). The values \frac{4}{7}74, 10.710.7, \frac{34}{7}734, \sqrt{2}2, and \piπ are not integers

Step-by-step explanation:

plz mark me as brainiest

Answer 2

A larger system that consists of whole numbers and negative numbers is known as integers.

Representation of integers on a number line.

• When we add a positive integer, we move to the right side of the number line.
• When we add a negative integer, we move to the left side of the number line.

• When we subtract a positive integer, we move to the left side of the number line.

• When we subtract a negative integer, we move to the right side of the number line.

Some rules which we have to keep in mind while adding and subtracting integers.

• When we add two positive integers we always obtain a positive sum.

• When we add two negative integers we always obtain a negative sum.
• When we add a positive integer and a negative integer we always obtain a negative integer as the sum.
• When we multiply two positive integers we always obtain a positive product.
• When we multiply two negative integers we always obtain a negative product.
• When we multiply a positive integer by a negative integer we always obtain a negative product.

• When we divide two positive integers we always obtain a positive quotient.
• When we divide two negative integers we always obtain a negative quotient.
• When we divide a positive integer by a negative integer we always obtain a negative quotient.

• Additive inverse of a positive number is the same number with a negative sign.
• Additive inverse of a negative number is the same number with a positive sign.

Now let's discuss some properties of Integers.

• Closure Property
• Commutative Property
• Associative Property
• Additive Identity
• Multiplicative Identity

For any integer 'x'

• x ÷ 0 is not defined
• x ÷ 1 = x