positive 3 times negative 4 Example What is 2 3 4 First multiply 2 3 Two like signs make a positive sign so 2 3 6 Next multiply 6 4 Two unlike signs make a negative sign so 6 4 24 Result 2 3 4 24
The answer is 4 x 2 8 Rule 3 A negative number times a negative number equals a positive number Two negatives make a positive so a negative number times a negative number makes a positive number If you look at it on the number line walking backwards while facing in the negative direction you move in the positive direction For Positive and negative numbers in fact there are only three that you ll have to remember Rule 1 A positive number times a positive number gives you a positive number Example 1 This is the kind of multiplication you ve been doing for years positive numbers times positive numbers It would look like this 4 x 3 12 4 is positive
positive 3 times negative 4
positive 3 times negative 4
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Starting from 0 taking 3 steps of 4 units each in the negative direction leads us to 12 Multiplication with the distributive property positive times negative The properties of multiplication work the same with negatives as with positive numbers and 0 Let s use the distributive property to convince ourselves of the value of 6 10 Depends if positive positive is more than the negative it positive ex 6 4 5 5 if positive positive is less than the negative the answer is negative ex 5 4 10 1
Purplemath Turning from addition and subtraction with negative numbers we now turn to multiplying and dividing negative numbers So how do we do multiplication and division with negatives Actually we ve already covered the hard part MathHelp Multiplying and Dividing Integers Key points Multiplication is commutative This means that the order in which you multiply a pair of numbers does not make a difference eg 3 x 5 5 x 3 The product is the answer when two
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Solve for x 3e 3x cdot e 2x 5 2 3e3x e 2x 5 2 See answer Systems of equations 2 Solve the system begin array l frac 2 9 cdot x 5y frac 1 9 frac 4 5 cdot x 3y 2 end array 92 x 5y 91 54 x 3y 2 See answer Fundamental derivatives Find the derivative How to Multiply and Divide Positive and Negative Numbers The rules that govern multiplication and division of numbers are very similar The key is to identify if the signs of the given two numbers are the same or different because this will determine the final sign of the answer Multiplication and Division Rules of Signed Numbers
What happens when you divide two negative numbers For example 12 3 12 3 For the denominator 3 to become the numerator 12 you would have to multiply it by 4 therefore the quotient is 4 11 A Negative Number Times a Negative Number When you are multiplying a negative number and a negative number the product will be a positive number Image by Caroline Kulczycky Let s do another example What is 6 8 42 48 48 42 Show Solution Check Report Share 11 Video Integer Multiplication and Division by Math Antics
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positive 3 times negative 4 - Depends if positive positive is more than the negative it positive ex 6 4 5 5 if positive positive is less than the negative the answer is negative ex 5 4 10 1