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Rules in addition and subtraction of algebraic expression?
Addition:1. look for like terms, combine like terms by adding their numerical coefficient. In adding the numerical coefficient, you have to consider the rules in adding integers.a. to add two numbers having like signs, add their absolute values and prefix their common sign, then bring down the literal coefficient.b. to add two numbers having unlike signs, find the difference of their absolute values and prefix to the difference sign of the number having a greater absolute value, then bring down the literal coefficient.Subtraction:1. multiply the subtrahend by -1 and proceed to adding algebraic expression.
Is the sum of two integers positive negative or zero?
The sum of two positive integers is positive. The sum of two negative integers is negative. The sum of one positive integer and one negative integer has the same sign as the addend with the greater absolute value. If the absolute values of the two addends are equal, the sum is zero.
Negatives are never absolute values WHY?
The absolute value is the distance from 0 on the number line. -5 is 5 away from 0. You cannot have a negative distance, therefore you cannot have a negative absolute value. Absolute values are not ALWAYS positive because absolute values can be zero as well. Zero is not positive nor negative.
What measurement uses absolute values?
distance
What do you do when subtracting a positive and a negative?
If you subtract a negative from a positive, add both of their absolute values. If you subtract a positive from a negative, add both of their absolute values and multiply by negative one.
When adding integers with the same sign do you add their absolute values and write the common sign?
yes.
What operation is used whenadding integers with thesame signs?
When adding integers with the same signs, you perform addition and keep the common sign. For example, if you are adding two positive integers, you add their absolute values and the result remains positive. Similarly, if you are adding two negative integers, you add their absolute values and the result will be negative.
What are the rules in adding integers with unlike signs?
For each pair of such integers, find the difference between the absolute values of the two integers and allocate the sign of the bigger number to it.
What is the product of 3 integers with the same sign?
It is the product of their absolute values with the common sign.
What are the rules in adding and substracting integers reference?
When adding integers, if the signs are the same, you add their absolute values and keep the common sign. If the signs are different, you subtract the smaller absolute value from the larger one and take the sign of the integer with the larger absolute value. For subtraction, you can convert it to addition by changing the sign of the integer being subtracted and then follow the addition rules. Remember, two negatives make a positive when adding.
What do you do when subtracting absolute value integers?
When subtracting absolute value integers, first calculate the absolute values of the integers involved. Then, perform the subtraction using the absolute values. Remember that the result will always be a non-negative integer, as absolute values are always positive or zero. If necessary, apply the appropriate sign based on the original integers' values after the subtraction.
What is the connection between absolute value and integers?
None. Integers can be negative, absolute values cannot. Absiolute values can be rational or irrational fractions, integers cannot.
What are the rules in adding subtracting multiplying and dividing integers?
Adding integers, if they have the same sign, add their absolute values and keep the same sign. Subtracting, change the sign of the 2nd number and the add using rules of addition. Multiplying and dividing, Divide the absolute values, if the signs are the same the answer is positive, if the signs are different the answer is negative.
How is adding positive and negative fractions similar to adding integers?
Adding positive and negative fractions is similar to adding integers in that both operations involve combining values to find a total. Just like with integers, when adding fractions, you must consider the signs; for example, adding a positive fraction to a negative fraction is akin to adding a positive integer to a negative integer, where you effectively find the difference between their absolute values. Additionally, both operations require finding a common reference point, whether it's a common denominator for fractions or a number line for integers. Ultimately, the rules of arithmetic—such as combining like signs and recognizing when to subtract—apply to both contexts.
What is the rule for adding integers and rational numbers with the same sign?
The value of the answer is the sum of the absolute values of the numbers and the sign of the answer is the same as that of the two numbers.
What are the two rules for adding integers?
If the signs are the same, add the absolute values and keep the sign. If the signs are different, subtract the lesser absolute value from the greater absolute value and keep the sign of the number with the greater absolute value.
How are the absulete values of opposite integers related?
The absolute values of opposite integers are always equal. For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5. This relationship holds true for any pair of opposite integers, as absolute value measures the distance from zero on the number line, disregarding direction. Thus, regardless of their signs, the absolute values remain the same.
