Prove recurring decimals algebraically
WebbNow multiplying by 10 gives us 10 x = 2.77.. . This time we need another equation to match the recurring part of the equation. So multiplying by 10 again gives 100 x = 27.77.. . Now we have two equations with the same recurring part we subtract one from the other as before. x = 0.277.. 10 x = 2.77.. 100 x = 27.77.. 90 x = 25 x = 25 90 x = 5 18. Webbx=0.045 (45 recurring) 10x = 0.45 (45 recurring) 100x = 4.54 (54 recurring) 1000x = 45.45 (45 recurring) To get rid of the decimals: 1000x-10x = 45.45 - 0.45 990x... Menu. Get in touch with one of our tutor experts +44(0) 203 773 6024; ... (45 recurring). Prove algebraically that x can be written as 1/22. x=0.045 (45 recurring) 10x = 0.45 (45 ...
Prove recurring decimals algebraically
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Webb11 feb. 2024 · Prove algebraically that the recurring decimal 0.72 (both recurring) =8/11. im on maths watch and it is saying ⬇️ is wrong please help thank youx=0.72100x = … Webb26 mars 2024 · Prove algebraically that the recurring decimal 0.72 (both recurring) =8/11. - 16171132. pswthe2nd ... answered • expert verified Prove algebraically that the recurring decimal 0.72 (both recurring) =8/11. Write your proof in the box, below, and use x in the working. The concluding line has been written for you, 'Therefore x=8/11 ...
Webb31 aug. 2024 · Prove algebraically that 0.8 =8/9 Get the answers you need, now! kel96 kel96 08/31/2024 Mathematics Middle School answered Prove algebraically that 0.8 =8/9 1 See answer it doesn't 0.8 is equal to 8/10 Advertisement Advertisement Sohamsta Sohamsta 100x = 88.8888888..... x = 0.8888888.... WebbNumbers Algebra Decimals Recurring Decimals Linear Equations Decimals to Fractions Question Answer Difficulty Level: Medium Solve in: 4 min Use Calculator: Yes Tags: …
Webb26 feb. 2024 · To convert a decimal. to a fraction, use place value. The first number after the decimal place is worth tenths, the next is worth hundredths, the next thousandths … WebbHere we will show you how to convert 0.126 repeating as a fraction. ... 0.126 is a repeating decimal number and you want to convert it to a fraction or mixed number. When you say 0.126 repeating, you could mean that 6, 26, or 126 is repeating. Thus, there are three different ways of answering "What is 0.126 repeating as a fraction?"
WebbStep 1: Write down the decimal as a fraction of one (decimal/1); Step 2: If the decimal is not a whole number, multiply both top and bottom by 10 until you get an interger at the …
WebbSuppose that the decimal is x = a. d1d2…dm ¯ dm + 1…dm + p, where the dk are digits, a is the integer part of the number, and the vinculum (overline) indicates the repeating part of … safest place to stay in las vegasWebbRepeating Decimal to Fraction Formula. To conversion Repeating Decimal number to Fraction use this fromula, which is given below-. (D × 10 R) - N 10 R -1. Where, D = The whole decimal number; R = Count the number of repeating part of decimal number; N = Value of non-repeating part of decimal number; the works taunton opening timesthe works technicalWebb9. Here's a proof in the opposite direction: Every positive rational number has either a terminating or repeating decimal expansion, and the positive rational numbers p q (in lowest terms) which have a finite expansion are precisely where q has the form 2a5b with a, b non-negative integers. If q has the form 2a5b, then 10 max ( a, b) p q is an ... the works teesside parkWebb10 Prove algebraically that the recurring decimal 0.681 can be written as 15 22.. 11 Prove algebraically that the recurring decimal 0.216 can be written as 8 37.. 12 Prove algebraically that the recurring decimal 0.126 can be written as 14 111.. 13 Write 3.254 as a fraction in its simplest form... safest place to stay in fort lauderdaleWebbRecurring Decimalsans - Maths Genie safest place to stay in mexico cityWebbHi all, I'm self taught so don't have anyone to ask this to. The question I'm stuck on states: When the fraction 2/11 is written as a recurring decimal the answer is 0.1818 recurring. the works team valley