Adding signed numbers refers to the mathematical operation of combining positive and negative numbers.

It involves following specific rules based on the signs of the numbers being added:

Explanation: Same Sign Addition Rule: When adding two numbers with the same sign (both positive or both negative), you add their absolute values and retain the common sign.

Different Sign Addition Rule: When adding two numbers with different signs, you subtract the absolute value of the smaller number from the absolute value of the larger number, and then take the sign of the number with the larger absolute value.

Subtracting signed numbers involves finding the difference between two numbers, considering their positive or negative signs.

It involves subtracting the absolute value of the smaller number from the absolute value of the larger number, and the result takes the sign of the larger number.

Explanation: Identify the signs: Determine whether each number is positive or negative.

Subtract the absolute values: Disregard the signs temporarily and subtract the absolute value (the value without considering its sign) of the smaller number from the absolute value of the larger number.

Determine the sign of the result: The sign of the result depends on the larger number. If the larger number is positive, the result will be positive. If the larger number is negative, the result will be negative.

Multiplying Signed Numbers:

Multiplying signed numbers involves combining two or more numbers to find their product, taking into account their signs.

Explanation:

When multiplying signed numbers, the following rules apply:

Like Signs: When multiplying two numbers with the same sign (both positive or both negative), the product is positive. Unlike Signs: When multiplying two numbers with different signs (one positive and one negative), the product is negative. Multiplying by Zero: Multiplying any number by zero results in zero, regardless of the sign of the numbers involved.

Dividing Signed Numbers:

Dividing signed numbers involves splitting a quantity into equal parts or determining how many times one number is contained within another, considering their signs.

Explanation: When dividing signed numbers, the following rules apply:

Like Signs: When dividing two numbers with the same sign (both positive or both negative), the quotient is positive. Unlike Signs: When dividing two numbers with different signs (one positive and one negative), the quotient is negative. Dividing Zero: Dividing any number (except zero) by zero is undefined. Dividing zero by any non-zero number results in zero.