How to Make Equivalent Expressions Using Division

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When creating equivalent expressions, the whole process may require the use of division techniques at various points. Make equivalent expressions using division with help from an MIT Masters Candidate in Aero/Astro Engineering in this free video clip.

Part of the Video Series: Mathematics: Division & More
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Video Transcript

Hi there. This is Ryan Malloy here at the Worldwide Center of Mathematics. In this video, we're going to discuss how to create equivalent expressions using division. So, suppose we're given an expression such as 4 X 5=20. Well, we can divide both sides of this equation by 4 and we get 5=20/4 which is true or we can divide the original equation by 5 and we get 4=20/5 which is also true. But, we can do a similar thing using variables. Over here we can divide both sides by x, equals y/x; if we assume that x equals not, equals to zero. Because if x were equal to zero, this would be undefined. Or from our original equation, we can divide both sides by y. We get 4x/y=1 where here we're assuming that y is not equal to zero for the same reason. Or, we can divide both sides by 4 and we get x=y/4. All of these expressions are true if our original expression is true and we observe these conditions. My name is Ryan Malloy and we've just discussed how to create equivalent statements using division.

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