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express0.99999intheformofp/q

2017年8月16日—Given:0.9=0.99999…Letx=0.99999…….(1)Hereonlyonedigitisrepeatingsomultiplyby10onbothsides10×x=10×0.99999…,Letx=0.9999…10x=9.9999…(Sincethereisonlyonerepeatingdigitafterthedecimal,thusmultiplyxby10)10x=9+x9x=9x=1.Thedifference ...,Hencetheansweris1anditmakesensebecause0.999…goesonforeversothereisnogapbetween1and0.9999…andhencetheyareequal.,,Letx=0.99999...............aWeneedtomulti...

參考資訊如下
Question 4 Express 0.99999…in the form pq ...

2017年8月16日 — Given: 0.9 = 0.99999… Let x = 0.99999……. (1) Here only one digit is repeating so multiply by 10 on both sides 10 × x = 10× 0.99999…

Express 0.99999…in the form pq. Are you surprised by ...

Let x = 0.9999… 10x = 9.9999… (Since there is only one repeating digit after the decimal, thus multiply x by 10) 10x = 9 + x 9x = 9 x = 1. The difference ...

Express 0.99999…. in the form pq . Are you surprised by ...

Hence the answer is 1 and it make sense because 0.999… goes on forever so there is no gap between 1 and 0.9999… and hence they are equal .

Express 0.99999 .... in the form of pq. Are you surprised with ...

Express 0.99999.... in the form pq. Are you surprised by ...

Let x = 0.99999......... ......aWe need to multiply both sides by 10 to get10x = 9.9999...... ....bWe need to subtract a from b. to getWe can also write 9 x ...

Ex 1.3,4

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Express 0.99999..... in the form pq. Are you surprised by ...

Express 0.99999.... in the form of p/q. I did and get 9/9, that's equal to 1. But how does it even makes sense? Is 0.9999... equal to 1? Please explain.