Additive and Multiplicative Inverse Strategy
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This document discusses two strategies for balancing mathematical equations: the additive inverse strategy and the multiplicative inverse strategy. The additive inverse strategy uses the opposite of addition, which is subtraction, to move a term to the other side of the equation. The multiplicative inverse strategy uses the opposite of multiplication, which is division, to move part of a term to the other side of the equation. Both strategies aim to isolate the variable on one side of the equation so that it can be solved for. Examples are provided to demonstrate how to apply each strategy.
Additive and Multiplicative Inverse Strategy
- 1. Balancing Mathematical Equations By: Andrea Bonde & Slideshare.net
- 2. Two Strategies: Additive Inverse Strategy & Multiplicative Inverse Strategy
- 3. What is the opposite of adding? Subtracting What is the opposite of Subtracting? Adding
- 4. Additive Inverse Strategy DEFINITION: Moves the opposite of the whole term to the other side.
- 5. Additive Inverse Strategy What is the term we want to move? What is our opposite? X – 7 = 5 +7 +7 X = +12
- 6. Additive Inverse Strategy What is the term we want to move? What is our opposite? 4x = -2x + 5 +2x +2x 6x = 5
- 7. Additive Inverse Strategy What is the term we want to move? What is our opposite? x = +7x - 6 -7x -7x -6x = -6
- 8. Additive Inverse Strategy With our practice problems, what are we trying to do with our problem? Get the variable more and more by itself! What for? To solve for the variable!
- 9. What is the opposite of multiplying? Dividing What is the opposite of dividing? Multiplying
- 10. Special Properties associated with Multiplication:
- 11. Special Properties associated with Multiplication Continued:
- 14. Multiplicative Inverse Strategy DEFINITION: Moves part of the term to the other side. 4x = 16 4 4 X = 4
- 15. Multiplicative Inverse Strategy What is part of the term we want to move? What is our opposite? 2x = 16 2 2 X = 8
- 16. Multiplicative Inverse Strategy What is part of the term we want to move? What is our opposite? 5x = 10 5 5 X = 2
- 17. Multiplicative Inverse Strategy What is part of the term we want to move? What is our opposite? 𝟏 𝟐 x = 10 X = 20
- 18. Multiplicative Inverse Strategy What is part of the term we want to move? What is our opposite? 𝟏 𝟒 x= 2 X = 8
- 19. -15 -15 5 5