A Comprehensive Guide to Integers: Definition, Addition, Subtraction, Absolute Value, Multiplication, Division, and Differences between Positive and Negative Integers.

Integers (Z)

{-3,-2,-1,0,1,2,3}

1. Define Integers:
Integers (Z) are a type of number that includes all positive and negative whole numbers, as well as zero. Integers are denoted by the symbol Z.

2. How do you add and subtract Integers?
To add integers with the same sign, simply add their absolute values and apply the sign of the integers. Example: 5 + 7 = 12 and -4 + (-2) = -6.

To add integers with different signs, subtract the smaller absolute value from the bigger absolute value and apply the sign of the integer with the bigger absolute value. Example: 3 + (-5) = -2.

To subtract integers, add the opposite (negation) of the second integer to the first integer. Example: 6 – 4 = 6 + (-4) = 2.

3. What is the absolute value of an integer?
The absolute value of an integer is the distance of that integer from zero. It is always a positive value. For example, the absolute value of 5 is 5, and the absolute value of -3 is also 3.

4. How do you multiply and divide Integers?
To multiply integers, simply multiply their absolute values and apply the sign rules. Example: 3 x (-2) = -6.

To divide integers, divide their absolute values and apply the sign rules. Example: (-10) / 5 = -2.

5. What is the difference between a positive and a negative integer?
A positive integer is a number that is greater than zero, while a negative integer is a number that is less than zero. The sign of an integer indicates whether it is positive or negative.

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