Are there negative integers

To measure the depth below the ground level we use negative numbers. Here, 0 indicated ground level. On a number line a number that is right to the 0 is positive and a number left side to the 0 is negative.

So, we have a new set of numbers -1, -2, -3, -4, -5, ….. These are known as the negative numbers. On the number line there are positive numbers, negative numbers and 0.

These are called integers. The sign before the number indicates its direction to the right or left of 0. Thus, integers are also called directed numbers. If a number has no sign it means that it is a positive integer. The negative numbers ………. Thus, examples of negative integers are ……… -5, -4, -3, -2, But the context will always make it clear whether we mean negative integer or subtraction. The natural numbers 1, 2, 3, 4, 5, ……… are called positive integers.

Thus, examples of positive integers are 1, 2, 3, 4, 5, ………. The number 0 is simply an integer. It is neither positive nor negative. The number of units a number is from zero on the number line. The absolute value of a number is always a positive number or zero. We specify the absolute value of a number n by writing n in between two vertical bars: n. The absolute values of 8 and -3 are 8 and 3. The absolute values of 8 and are 8 and The absolute values of and 11 are 22 and The absolute values of 53 and are 53 and The sign in this case does not matter, since 0 and -0 are the same.

Note that 53 and are opposite integers. All opposite integers have this property that their sum is equal to zero. Two integers that add up to zero are also called additive inverses. Subtracting an integer is the same as adding its opposite.

In the following examples, we convert the subtracted integer to its opposite, and add the two integers. Note that the result of subtracting two integers could be positive or negative.

To multiply a pair of integers if both numbers have the same sign, their product is the product of their absolute values their product is positive.

If the numbers have opposite signs, their product is the opposite of the product of their absolute values their product is negative. Properties of Division of Integers. Examples on Division of Integers. Fundamental Operation. Examples on Fundamental Operations. Uses of Brackets. Removal of Brackets. Examples on Simplification. Worksheet on Multiplication of Integers. The negative integers are commonly denoted.

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