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How are the rules for multiplication and division integers the same?
They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.
Why does the quotient and product of two nonzero integers have the same sign?
Those are the rules of multiplication (and division).
What is the same between multiplication and division?
Both need integers around them, to use them.
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 dividing integers similar to multiplying integers with the resulting sign?
The rules for the sign (positive or negative) of the result of a multiplication is the same as division. For multiplication: Positive * Positive --> Positive Positive * Negative --> Negative Negative * Positive --> Negative Negative * Negative --> Positive For division: Positive / Positive --> Positive Positive / Negative --> Negative Negative / Positive --> Negative Negative / Negative --> Positive
Is it true that for any two nonzero integers the product and quotient have the same sign and why?
It is true, and it follows from the definition of multiplication and division.
Why are the rules for multiplying and dividing rational numbers the same?
The question has no sensible answer because its proposition is not true. Multiplication is commutative, division is not, so the rules are NOT the same.
What are the three words for remembering sign for multiplication and division of integers?
same ---> answer is positivedifferent ---> answer is negativeBy the way, the two original numbers don't have to be integers. They can be anything ...whole numbers, decimals, mixed numbers, proper or improper fractions, irrationalnumbers, transcendentals, algebraic letters or symbols, numbers in scientific form,logarithms, mambo rhythms, you name it. Those two simple rules are always truefor multiplication and division.
How are multiplying integers and dividing integers same?
following multiplication integer rules and division rules, you should get: "MULTIPLICATION: minus times minus is plus (negative x negative = positive).....minus times plus is minus (negative x positive = negative).....plus times plus is plus (positive x positive = positive) DIVISION: minus divi minus is plus (negative ÷ negative = positive)......minus divi plus is minus (negative ÷ positive = negative).....plus divi plus is plus (positive ÷ positive = positive)" a division problem is a multiplication problem in disguise
When simplifying an expression you perform which operations inside grouping symbols first?
Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.
Positive divided by a negative?
The rules for division are the same as for multiplication. Positive multiplied (or divided) by negative is negative.
How do you Relate Division to Multiplication?
Division is the inverse operation to multiplication. Division by a number (other than zero) is the same as multiplication by its reciprocal.
