1_adding Integers

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adding numbers with signs
Kathyann Noel
Flashcards by Kathyann Noel, updated more than 1 year ago More Less
Kathyann Noel
Created by Kathyann Noel over 7 years ago
Kathyann Noel
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Question Answer
same negative sign negative -3 + -8= -11
same positive sign positive 3 + 8 =11
different sign First subtract the smaller from the larger. Then take the sign of the larger number. -8 + 3= -5
-4 + -9= ? -4 + -9= -12
4 + -9= ? 4 + -9= -5
7+6=? 7+6=13
-1 + -3=? -1 + -3=-4
16 + (- 64)=? 16 + (- 64) = - 48 Solution: To add two numbers with opposite sign, first subtract the smaller absolute value from the larger one and attach the sign of the larger absolute value. 16 + (- 64) = - ( | - 64 | - | 16 | ) = - (64 - 16) [Find the absolute value of the numbers.] = - 48
- 52 + (- 19)=? - 52 + (- 19)=71 Solution: To add two numbers with same sign, first add their absolute values and attach the common sign. - 52 + (- 19) = - (| - 52 | + | - 19 |) = - (52 + 19) [Find absolute value of the numbers.] = - 71
(- 8 + 6) + 13=? (- 8 + 6) + 13=11 Solution: (- 8 + 6) + 13 = - 8 + (6 + 13) [Use associative property.] = - 8 + 19= 11 [Subtract their absolute values and attach the sign of the number with larger absolute value.]
8 + (- 5/6) + (- 1/6) =7 Solution: 8 + (- 56) + (- 16) = 8 + [(- 56) + (- 16)] [Use associative property.] = 8 + (- 1) [Add - 5 / 6 and - 1 / 6.] = 7 [Add 8 and - 1.]
Solution: (- 2 / 5) + (- 3 / 5) + 2 / 5 [Original Expression.] = - 2 / 5 + 2 / 5 - 3 / 5 [Use commutative property.] = (- 2 / 5 + 2 / 5) + (- 3 / 5) [Use associative property.] = 0 + (- 3 / 5) [Use inverse property.] = - 3 / 5 [Use identity property.]
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