Negative Numbers and Additive Inverse
Explore the world of negative numbers and additive inverse through a series of mathematical exercises. Learn how to calculate sums involving negatives and discover the concept of additive inverses, where adding a number and its opposite results in zero. Test your understanding with various numerical examples provided in the content.
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Presentation Transcript
1 + 3 = 4 1 + 2 = 3 = 2 1 + 1 What will come next? 1 + 0 = 1 What will come next? 1 + (-1) = 0
1 + (-1)= 0 1 add the additive inverse of 1 2 + (-2)= 0 2 add the additive inverse of 2 3 + (-3)= 0 3 add the additive inverse of 3 6 + (-6)= 0 ?
When we add the additive inverse of a number our answer is always 0
What is the additive inverse of 5 10 7 25 47 100
negative 1 plus 0 (-1) + 0= -1 (-1) + 1= 0 negative 1 plus 1 (-1) + 2= 1 (-1) + 3= 2
(-2) + 5= 3 (-2) + 1= -1 -5 + 2 = -3 -4 + 6 = 2
4 + 2= 6 4 + 1= 5 4 + 0= 4 4 + (-1)= 3 4 + (-6) = ? 4 + (-2)= 2
6 + (-2)= 4 5 + (-3)= 2 3 + (-4)= -1 4 + (-6)= -2
(-3) + 2= -1 (-3) + 1= -2 What will come next? (-3) + 0= -3 What will come next? (-3) + (-1)= -4 (-3) + (-7) = ? (-3) + (-2)= -5
What is the additive inverse of 7 15 24 120 -5 -10 -32 -45
= 0 4 - 4 = 4 + (- 4) 4 add the additive inverse of 4 = 1 = 4 + (- 3) 4 - 3 4 add the additive inverse of 3 = 2 4 - 2 = 4 + (- 2) ? = 3 = 4 + (- 1) 4 - 1 ?
1) 3 - 9 2) 6 - 9 3) 3 - 7 4) 4 - 8
1) 3 9 = 3 + (-9) = -6 2) 6 9 = 6 + (-9) = -3 3) 3 7 = 3 + (-7) = -4 4) 4 8 = 4 + (-8) = -4
= 2 4 - 2 = 4 + (- 2) 4 add the additive inverse of 2 = 3 = 4 + (- 1) 4 - 1 4 add the additive inverse of 1 = 4 = 4 + 0 4 - 0 What will come next? = 4 + 1 = 5 4 - (-1) What will come next? 4 add the additive inverse of -1 ? = 4 + 2= 6 4 - (-2) . . . . . . ? = 4 + 5 = 7 4 - (-5)
= 7 5 - (-2) = 5 + 2 = 4 = 3 + 1 3 - (-1) = 6 = 1 + 5 1 - (-5) = 6 + 2 = 8 6 - (-2) = 8 + 1= 9 8 - (-1) = 2 + 6 = 8 2 - (-6)
= -7 -5 - 2 = -5 + (-2) = -7 = -3 + (-4) -3 - 4 = 4 = -1 + 5 -1 - (-5) = -6 + 2 = -4 -6 - (-2)
I do You do -3 + 2 - 4 -3 + 2 + (-4) -3 - 2 - 4 -3 + (-2) + (-4) = -9 = -5
I do You do 3 - (-2) + 4 3 + 2 + 4 -3 + 2 - (-4) -3 + 2 + 4 = 3 = 9
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