1 / 14

Monomials and Indices

Monomials and Indices. Slideshow 7, Mathematics Room 307 , Mr. Sasaki. Objectives. Recall previously learnt properties of indices Understand how to calculate numbers in the form a -x and . Apply these new rules to simplifying monomials. Recalling Properties of Indices.

lahela
Download Presentation

Monomials and Indices

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Monomials and Indices Slideshow 7, Mathematics Room 307, Mr. Sasaki

  2. Objectives • Recall previously learnt properties of indices • Understand how to calculate numbers in the form a-x and . • Apply these new rules to simplifying monomials.

  3. Recalling Properties of Indices Simplify the following: x Here are some of the rules for indices that you have learned so far. Let’s look at a few more! = = ÷ = x = ÷

  4. Other Properties of Indices We know how to calculate with indices, but what do they mean? Example Calculate . = Well, we knew that. Is there anything else? Let’s look a little closer. = =

  5. Other Properties of Indices So by doing this we can see that… = And this would continue… -7 = -2 = - =

  6. Other Properties of Indices How about ? Well if means to square , would mean to do the opposite. ( means inverse.) What is the opposite of squaring something? Square rooting something! = = (Don’t worry about negative roots.)

  7. Other Properties of Indices How about ? For this, we find the cube root. = = How about a horrible one… = = So… =

  8. Other Properties of Indices So now we have a lot to play with! Let’s try some examples… Examples Try the worksheet! = = . = = It doesn’t matter which part of the calculation you do first, do whichever is easiest!

  9. Answers 64 36 4 64 225 4 27 2 3 49 10 4 243 1 1 32 64 ¼ 8 1 ½

  10. Other Properties of Indices So hopefully you remember… And now you may have found that… )b So be careful, these are very different.

  11. Monomials and Indices Let’s try applying this to some monomials. Try the last worksheet! Examples = = = =

  12. Answers or 10 1023 22 25 35 82+ 4½ or

  13. Answers– Numbers Review 8 49 64

  14. Answers – Monomials Review

More Related