Mastering the Basics: Adding, Subtracting, Multiplying, and Dividing Integers with Sign Rules

adding, subtracting, multyplying, divyiding integers

result of: +,-,x,/ between integers is ALWAYS AN INTEGERINTEGER+INTEGER=INTEGERINTEGER-INTEGER=INTEGERINTEGERxINTEGER=INTEGERINTEGER/INTEGER=INTEGER

Adding, subtracting, multiplying, and dividing integers are important mathematical operations used in many situations. Here are some explanations for each operation:

Adding integers: When adding integers, you need to consider their signs. If you are adding two integers that have the same sign (both positive or both negative), you simply add their absolute values and keep the same sign. If you are adding two integers that have different signs, you subtract their absolute values and keep the sign of the larger number. For example, 3 + (-5) = -2 because 5 is larger than 3 and has a negative sign.

Subtracting integers: Similar to adding integers, subtracting integers requires attention to the signs. You can either change the subtraction to addition and change the sign of the second integer or use the rule for adding signed numbers. For example, 6 – (-2) can be changed to 6 + 2 = 8 or we can use the adding integers rule by changing the second minus sign to plus sign and changing the sign of the second integer, then it becomes 6 + 2.

Multiplying integers: When multiplying integers, you need to consider the signs. If you are multiplying two integers that have the same sign, the answer is positive. If you are multiplying two integers with different signs, the answer is negative. For example, (-5) x (-3) = 15, but (-5) x 3 = -15 since negative and positive give negative.

Dividing integers: Division is a bit more complex than the other operations. When dividing integers, the quotient depends on the dividend, the divisor, and their signs. If both the dividend and divisor are positive or negative, the quotient is positive. If one number is positive and the other is negative, the quotient is negative. For example, (-24)/(-4) = 6 and (-24)/4 = -6.

In summary, adding, subtracting, multiplying, and dividing integers all require some attention to the signs. However, once you get the hang of it, these operations are not difficult and are essential to many everyday activities.

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