Operations with Signed Numbers |
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Addition Subtraction Multiplication Division
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Addition Rules | Examples |
When adding two numbers with like signs, add the values and keep the common sign. |
1. (+3) + (+5) = + 8 2. 4 + 6 = 10 3. (-3) + (-5) = - 8 4. -
4 + (-
6 ) = -10 |
When adding two numbers with unlike signs, subtract the values and use the sign of the larger-valued number. |
1. (+3) + (-5) = -2 2. (-3) + (+5) = +2 3. 4 + (- 6 ) = -2 4. - 4 + 6 = 2 |
Addition Subtraction Multiplication Division |
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Subtraction Rules | Examples |
Change
the subtraction operator to addition and change the sign of the number
that immediately follows. Follow the rules for addition stated
above.
(i.e. Add the opposite)
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1. (+3) - (-5) = (+3) + (+5) = 8 2. (-3) - (+5) = (-3) + (-5) = - 8 3. 4 - (- 6 ) = 4 + (+ 6 ) = 10 4. - 4 - 6 = - 4 + (- 6) = - 10 |
Addition Subtraction Multiplication Division |
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Multiplication Rules | Examples |
When
multiplying two numbers with the same sign, the product is positive.
(+)(+) = + (-)(-) = +
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1. (+3) (+5) = +15 2. (4)( 6) = 24 3. (-3) + (-5) = +15 4. - 4(- 6 ) = 24 |
When
multiplying two numbers with unlike signs, the product is negative.
(+)(-) = - (-)(+) = -
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1. (+3) (-5) = -15 2. 4 (-6 ) = 24 3. (-3) (+5) = -15 4. - 4 ( 6 ) = -24 |
Addition Subtraction Multiplication Division |
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Division Rules | Examples |
When
dividing two numbers with the same sign, the quotient is positive.
(+)/(+) = + (-)/(-) = +
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1. (+3) (+5) = +15 2. (4)( 6) = 24 3. (-3) + (-5) = +15 4. - 4(- 6 ) = 24 |
When
dividing
two numbers with unlike signs, the quotient is negative.
(+)/(-) = - (-)/(+) = -
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1. (+15) / (-5) = -3 2. 24 /(-6 ) = 4 3. (-15) /(+3) = -5 4. - 24 /( 6 ) = -4 |
Note: The division rules are the same as the multiplication rules. |
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Addition Subtraction Multiplication Division |
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