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How do the rules for multiplying integers compare to the rules for dividing integers?
- The product of two positive integers or two negative integers is positive.
- The product of a positive integer and a negative integer is negative.
- The quotient of two positive integers or two negative integers is positive.
- The quotient of a positive integer and a negative integer is negative.
You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.
When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.
Positive x positive = positive
Negative x negative = positive
When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.
Positive x negative = negative
Negative x positive = negative
When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.
Positive ÷ positive = positive
Negative ÷ negative = positive
When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.
Positive ÷ negative = negative
Negative ÷ positive = negative
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Are the rules for multiplying and dividing signed integers different or the same?
The rules are not the same.Multiplication is commutative whereas division is not.Multiplication is associative whereas division is not.
How is multiplying and dividing integers the same as multiplying and diving rational numbers?
Multiplying and dividing integers and rational numbers follow the same fundamental rules. In both cases, the product of two numbers is determined by multiplying their absolute values and applying the appropriate sign rules. Similarly, division involves inverting the divisor and multiplying, maintaining the same sign conventions. Thus, the processes are consistent, with rational numbers simply extending the concept to fractions.
What are the rules for adding subtracting multiplying and dividing fractions?
no answer
How is the process of dividing integers similar to the process of multiplying integers?
The process of dividing integers is similar to multiplying integers in that both operations involve the concept of groups and repeated actions. Just as multiplication can be thought of as repeated addition, division can be seen as determining how many times one integer fits into another. Additionally, both operations follow the same rules regarding positive and negative signs: multiplying or dividing two integers with the same sign yields a positive result, while differing signs result in a negative outcome. Thus, both processes are foundational arithmetic operations that share similar principles.
What are the rules of dividing integers?
It will be the same as dividing positives but if it is a negetive divided by a postive the answer will still be negative
Are the rules for multiplying and dividing signed integers different or the same?
The rules are not the same.Multiplication is commutative whereas division is not.Multiplication is associative whereas division is not.
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.
What are the rules for dividing rational numbers are the same as the rules for dividing integers?
The rules are the same.
Why do the rules for multiplying integers make sense?
Because it is.
What are the rules for adding subtracting multiplying and dividing fractions?
no answer
What are the rules of dividing integers?
It will be the same as dividing positives but if it is a negetive divided by a postive the answer will still be negative
How can properties be used to prove rules for multiplying integers?
The answer depends on which properties are being used to prove which rules.
What is the rules for multiplication integers?
When multiplying integers, multiplying by the same sign will always produce a positive integer. Such as a negative times a negative equals a positive. If the signs are different then the product will be a negative.
What signs are used when mulitiplying and dIviding integers would the signs be the same and the answer negative?
positive x positive = positive negative x negative = positive positive x negative = negative negative x positive = negative The same rules apply for dividing, since dividing is actually multiplying by the reciprical.
Who created the rules for multiplying and dividing exponents?
It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.
How do you multiplies and divides integers?
Multiplying and dividing integers is real easy. All you have to do is do regular dividing and multiplying keeping in mind these simple rules: RULES: 1: When multiplying or dividing integers, when the numbers are a positive, positive they equal a positive. When the numbers are negative, negative they equal a positive. In other words, same signs equal positive. 2: This rule is very similar to the rule above. The only change is that when the signs are different, they equal a negative. ( negative, positive= negative, positive, negative= negative.) Please correct me if I'm wrong. Multiply integers- my notes from class positive x positive= positive positive x negative= negative negative x negative= positive Divide integers- again my notes from class positive divided by a positive= positive negative divided by a negative= positive negative divided by a positive= negative Dividing integers are simple if the number has a different sign than the other it is always negative but if they have the same sign its always positive ex. -20/5=-4 ex. -20/-4=-5
How are adding subtracting decimals different from multiplying them?
They aren't. The rules are the same as those for adding/subtracting or multiplying integers. Just be careful of the decimal point's location.
