Recurring Decimal To Percent This website and its content is subject to our Terms and Conditions. The fraction = 0. 3333… in recurring decimal form. 17̇2̇ to a fraction in its lowest terms. Repeating decimals. A recurring decimal is a decimal number which does go on forever, but where some of the digits are repeated over and over again. 666 repeating (or 0. You may select six different types of percentage conversion problems with three different types of numbers to convert. According to Fact Monster, two thirds as a decimal is 0. All recurring decimals can be represented as fractions. Create the second equation by multiplying both sides of (1) by 10 3 = 1000: 1000X = 333. Periodic (recurring) decimal is a decimal that has infinite number of digits, i. re·curred , re·cur·ring , re·curs 1. I don't know any languages that have syntax to support recurring decimals, so I'm not sure how one would go about handling them, but running 0. Divide the fraction by 1, and then multiply the result by 1 in a form that will remove the decimal. Create the first equation with x equal to the repeating decimal number: x = 0. PBCC SLC Lake Worth Math Lab CONVERTING FRACTIONS, DECIMALS AND PERCENTS To change a decimal to a percent, multiply by 100%: • 0. 5 (a decimal number). 8/9Divide 8 by 9 and properly place the decimal pint on the division bar. Convert Percents to Decimals. 257257 are repeating decimals. Let's revisit one of the repeating decimals from Step 7. (87), we can count the number of repeating digits which are 8 and 9. The fraction is not reduced to lowest terms. Converting terminating decimals into fractions is straightforward: multiplying and dividing by an appropriate power of ten does the trick. 3333… and 2/7=0. Steps to follow to make any recurring decimal into a fraction, follows the same process. Multiplying by 100 will shift the decimal two places to the right. 666 repeating (or 0. Recurring decimals are numbers which have an infinitely repeating number after the decimal point. It is fairly easy to take a fraction and turn it into a repeating decimal by hand. Repeating Decimals to Percents. Hex To Decimal Chart Best Prices Tri-Hex Glass End Table by Global Views See Low Prices Tri-Hex Glass End Table by Global Views For Sales. Infinite decimals can be tricky to convert to fractions because you cannot simply put the decimal over the appropriate multiple of 10. 25 x 100% = 25% Basic Equation: A = A x 100% (where A is a valid number) Percent to Fraction. In this video, I want to talk about how we can convert repeating decimals into fractions. 2 percent to decimal or How to convert 0. So let's say I had the repeating decimal 0. (87), we can count the number of repeating digits which are 8 and 9. Write the decimal 0. 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. For instance, problems involving interest rates written as percents may be easier to calculate when the percentages are. Upload failed. s s s s s…. 22222222 can be written as. ##Recurring decimal to fraction## Every recurring decimal has a representation as a fraction. 7 Worksheet by Kuta Software LLC. Starting from the decimal point, count the decimal places. Example: If a rod 1, then the small cube 0. Please note that only fractions in lowest terms (completely reduced) are listed. my question is - can you convert it to. Recurring Decimals Writing a Fraction as a Recurring Decimal (More no calculator fraction work) Converting Recurring decimals back to a fraction (extension) Class notes | pdf. How to Convert a Decimal to a Fraction - Steps. Repeating decimal definition is - a decimal in which after a certain point a particular digit or sequence of digits repeats itself indefinitely. For example, 0. 6 where last 6 is repeating decimal. 75 4 ⇒ ÷ = , now add the whole number. re·curred , re·cur·ring , re·curs 1. All recurring decimals can be represented as fractions. Repeating decimals can be tricky to work with, but they can also be converted into a fraction. Up to 4 decimal digits, proper fraction. A quick trick for converting a repeating decimal is to place the repeating numbers in the numerator of a fraction over the same number of 9s, and then reduce if necessary. Convert fraction or percent to decimal number. This Fractions Worksheet is great for testing children for converting between Fractions and Decimals. You can only upload files of type PNG, JPG, or JPEG. >Using the place value table and equivalent fractions students learn about converting between fractions, decimals and percentages. Whether you’re making quick estimates in your head, using a calculator, or modeling your car loan on a spreadsheet, you need to know how decimals and percentages are related. Divide the numerator of the fraction by the denominator (e. 6 where last 6 is repeating decimal. 582, for instance. To round off a fraction, you first convert the fraction to a decimal. where the bar indicates that 185 are the recurring digits. So let's say I had the repeating decimal 0. To convert the two-thirds fraction to a decimal, simply divide the top number by the bottom number, or divide 2 by 3. The recurring decimal 0. Types of Decimals. Solution: We notice that the digits 5, 7, 1, 4, 2 and 8 begin to repeat. v I bASl9l3 Br0ikg0hMtOsz fr JeYsXezrKv4eZdo. All recurring decimals can be represented as fractions. Upload failed. The decimal representation of is 0. This decimal to fraction calculator gives you the opportunity to represent repeating decimals by entering a figure into the 'Number of trailing decimal places to repeat' box. 08 by Using Decimal to Fraction Converter Tool. You then need to simplify your fraction. It is the third and final unit in the development of understanding fractions, decimals, and percents. For example, most published tables show 63/64s as 0. Since we know that a percentage is a part out of 100, all we need to do is to make a fraction with the percentage as the numerator and 100 as the denominator. For other non-repeating decimals, keep the default setting at 0. All we need to do is multiply the original decimal by 100 and you have your percentage. 89 rounded off. its digits repeat forever. Escol is a public school teacher of Iligan City East National High School, Sta. Then you will use a bar to write the correct repeating decimal notation. In this lesson you will learn how to convert repeating decimals into fractions. For example to converting 125% the following steps are: Divide 125 by 100, we get the fractions like 1 25/100, then divide both the numerator and denominator of fractional part by 25. 32 = 132% etc Percentage To Decimal EASY AGAIN! Just divide by 100. Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %. Step 1: Determine the number of recurring decimals. Divide the fraction by 1, and then multiply the result by 1 in a form that will remove the decimal. 147 are repeating decimals. (87), we can count the number of repeating digits which are 8 and 9. Improve your math knowledge with free questions in "Convert between decimals and fractions" and thousands of other math skills. You do not have to do complicated calculations or use difficult patterns. More able students use written methods to convert recurring decimals to percentages and simplified fractions. This Fractions Worksheet is great for testing children for converting between Fractions and Decimals. Match a set of fractions with its corresponding decimal. When most people talk about decimals, however, they are referring to decimal numerals such as 5. "Percent" is actually "per cent", meaning "out of a hundred". Figure 1: Repeating Decimals [1] In order to model this behaviour in Python, we can start by creating an empty list (quotient _num) which we are going to update with all the new numerators and quotients registered after the decimal point (using a list inside a list). From the Math Forum: A Tour of Fractions for Teachers and Students Fraction Help - Teacher2Teacher FAQ Place Value - Teacher2Teacher FAQ On the Web:. Decimals To Fractions Worksheets Easy, Converting Fractions To Decimals Worksheet 1, Convert Between Percents Fractions And Decimals 8 Worksheets Printable Worksheets, Primaryleap Co Uk Decimal Fraction And Percentage Worksheet Primary Worksheets Fractions, Math Teaching, Homework Yr Sheets Free Printable Grade Worksheets Homework Sheets Worksheet Mogenk, Comparing Fractions Decimals. Decimal to percent number conversion: calculator, how to convert and conversion table. Read each question carefully before you begin answering it. Showing top 8 worksheets in the category - Converting Decimals To Fractions. 0343434, then, we have. · Today we are going to focus on converting decimals to percents and percents to decimals. 5 Write each as a fraction. The bar is placed over the repeating portion, as a convenient way of indicating that the repeating part is the digit "3 ". Let be a fraction written in simplest form. It is fairly easy to take a fraction and turn it into a repeating decimal by hand. 582, for instance. More able students use written methods to convert recurring decimals to percentages and simplified fractions. Example 2: Convert 2. 3%) or write it as 27. Fractions, Decimals, and Percents [David A. Curtis / Math / 7th / Percent / Decimal / Fraction / FDP / Conversions Fraction, Decimal, Percent Vocabulary. According to Fact Monster, two thirds as a decimal is 0. Showing top 8 worksheets in the category - Fraction Decimal And Percents. to a fraction, use place value. Converting Repeating Decimals To Fractions Worksheet With Answers Math Worksheets Videos, games, activities and worksheets that are suitable for CSE Maths. 08 as a fraction in simplest form, check result of 0. How to Convert a Decimal to a Fraction - Steps. For another example, convert repeating decimal 0. - equivalent fractions and/or decimals. Does not need any other downloaded software - just a JavaScript-enabled browser. When the percent number is greater than 1, but not a whole number, the percent is between two whole number percents. A fraction to a percent: Multiply the fraction by 100 and reduce it. Fraction Decimal Percentage Worksheets Our worksheets help children convert fractions to decimals and percentages with ease. Check output 0. Attempt every question. Numbers as decimals, fractions, percentages Presenting a number as a fraction, percent or decimal number is quite a simple procedure. 08 Conversion as a fraction with Graphical representation. To convert a percent to a decimal, just move the decimal point 2 places to the left. In today's decimal world, often there is the need to convert between "standard" hours, minutes & seconds and decimal time. For example, 0. and Fraction Conversion Challenge, a calculator, a mini-whiteboard, a pen, and an eraser. So this is the same thing as. Percent means "per 100" and can be expressed in percent form which has a % symbol after the number, or in decimal form, which does not have the % symbol. 73 100 73% c. Use our percent to decimal calculator above to write any percent values as a decimal. So, to get How do you change fractions and percentages into decimals? Percentage. This is a recurring decimal and the dots above the 1 and the 5 digit indicate that 185 are the recurring digits. How do you get -2/9 as a decimal? How do I turn -2/9 into a decimal? It can be a repeating decimal it just has to be a decimal and I'm not sure how to make it a decimal. 3 can be written which can be multiplied by 1 and divided by 1 without changing its value. The worksheets below will offer single format conversion as well as a full review where you given the value in the form of a decimal, fraction, or percentage and you are asked to convert that value into the other two forms. Enter 0 in the Show outer recurring places box or else leave it empty. Fractions, Decimals & Percentages (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Decimal Division (One Digit Repeating Decimals) Worksheet 2 – On this 9 problem worksheet, you will divide decimals where the quotient has a one-digit repeating decimal pattern. 2% into a decimal equivalent. So, they also give students practice recognizing repeating answers, and using the bar notation to indicate that decimals repeat. Some of the worksheets displayed are Fractions decimals and percents, Convert decimals to, Converting fractions decimals and percents, Fractions decimals percentages, Fractions into decimals 1, Fractions work converting fractions to terminating, Fractions and decimals, Fractions into. You do not have to do complicated calculations or use difficult patterns. In this lesson you will learn how to find the decimal equivalent of any fraction or mixed number by using the standard algorithm for decimal division. Whether you're making quick estimates in your head, using a calculator, or modeling your car loan on a spreadsheet, you need to know how decimals and percentages are related. We see this by looking at and how it is divided into a decimal form where we write the remainder of the hundredths position as a fraction. A repeating decimal, also known as a recurring decimal, is a decimal number that has a digit or digits that infinitely repeat at regular intervals. 25 ) or repeats (for example,2/9=0. Decimal Fraction and Percent Conversion Calculator. ©x l2n0 g1j2 j FKou btza x JS2ovf Ptaw 3a rZez eL 5LUCy. Starting from the decimal point, count the decimal places. Call the repeating decimal x. Does not need any other downloaded software - just a JavaScript-enabled browser. Step 2: Express the recurring decimal as a fraction. Repeating Decimals to Percents. " To calculate a percentage equivalent from a fraction, first find the decimal equivalent and multiply by 100. Grade 7 Mathematics Unit 3: Fractions, Decimals and Percents L. Repeating decimals can be tricky to work with, but they can also be converted into a fraction. Solution: We notice that the digits 5, 7, 1, 4, 2 and 8 begin to repeat. ? Write the repeating decimal 0. You do not have to do complicated calculations or use difficult patterns. Knowing how to convert percentages to decimals and back again is a valuable math skill and is certainly helpful for understanding your finances. This page will show you how to convert a decimal into its equivalent fraction. To round off a fraction, you first convert the fraction to a decimal. PERCENT to DECIMAL Move the decimal two places to the left. · Model changing a decimal to a percent by dividing - be clear about how to say the problem and how to write it. Converting Recurring Decimals to Fractions 1. My dice rolls in online Risk indicate I am rolling a number besides 1-6 at least some percentage of the time. Repeating Decimals and The Monster That Wouldn’t Die. From the solar system to the world economy to educational games, Fact Monster has the info kids are seeking. 486 What is 33. This method would only work for terminating decimals. In this lesson, we will explore the definition of this number and look at some of the properties it holds. Directions: Fractions and decimals are closely related. 25 3 8 96 7. Converting Recurring Decimals to Fractions : In this section, we will learn, how to convert recurring decimals into fractions. Converting Between Percents Decimals and Fractions Worksheet Pdf : Worksheet given in this section will be much useful for the students who would like to practice solving problems converting between fractions, decimals and percentages. To the left, to the left convertin' those decimals into percents. 5 is a half and half is represented in percents as 50%. To convert 0. Identify pure recurring decimals and mixed recurring decimals. Converting pure recurring decimal to fraction. Materials: In-class worksheet: Writing Fractions as Decimals and Decimals Then, have students work in groups to. percent worksheets pre algebra 20 converting repeating decimal numbers to fractions fraction conversion flipbook cheat sheet and or foldable math the core preview of. · Today we are going to focus on converting decimals to percents and percents to decimals. On the other hand, repeating decimals are numbers whose decimal representations don't stop, but instead repeat some pattern forever. Click on the link below to take the Pre-Test for Module. ©2 B240Q1i2 l QKOu5t 0am MSSo0fIt mwEaOr ve x 0LXLPC h. pdf), Text File (. Includes negative numbers, decimals, fractions and metric measures. Instructions Use black ink or ball-point pen. 5% becomes. Fraction Decimal Percent Cheat Sheet w Repeating Decimals - Free download as Word Doc (. "Percent" is actually "per cent", meaning "out of a hundred". 166666 through this method return the correct results (2/3 and 1/6, respectively). Knowing how to convert percentages to decimals and back again is a valuable math skill and is certainly helpful for understanding your finances. 55 converted to percentage: 0. Understand the relationship between between a repeating and terminating decimal and its fraction. Fraction, Decimal, Percent Repeating Decimal Patterns. 3%) or write it as 27. Step 1 : Assume that the given decimal number is equal to the variable x. Rounded off to 12 decimal places. When you think all decimal to fraction conversions are correct, press the 'Grade My Quiz' button. For example, 1/3=0. 1 1 Write as a percentage. 27777… in recurring decimal form. We started by using this Converting Percents, Decimals, and Fractions Flippable from Jennifer Smith Jochen. Convert between fractions, decimals and percentages. The first number after the decimal place is worth tenths. Create New Sheet Share Select a Worksheet Version 1 Version 2 Version 3 Version 4 Version 5 Version 6 Version 7 Version 8 Version 9 Version 10 Grab 'em All Create New Sheet. It is equal to the whole number 67 plus the decimal. Recurring decimal fractions seems to big problem for many aspirants. · Today we are going to focus on converting decimals to percents and percents to decimals. Check output 0. Edit: I just noticed your note about wanting them to work with recurring decimals. The fraction is not reduced to lowest terms. Model for your young mathematicians the process for converting repeating decimals to fractions. That is to say, it can be written as a fraction. Repeating Decimals to Percents. To convert decimals to percents you simply multiply the decimal by 100. When you are converting decimal to fraction, remember these three easy steps: Take the numbers after the decimal point and put them in the top of the fraction. Check your answers seem right. ) You can use this "out of a hundred" meaning, along with the fact that fractions are division, to convert between fractions, percents, and decimals. 16 repeating as a fraction? How do I find fraction notation of 16. For another example, convert repeating decimal 0. "Percent" is actually "per cent", meaning "out of a hundred". 7 Worksheet by Kuta Software LLC. If user wants to see % in decimal point, we can use conditional style to set format of values to percentage with decimal points. Write the following decimal as a fraction. Super teacher worksheets converting recurring decimals to fractions worksheet decimal change mixed number improper fraction beginning fractio pdf repeating percents and on with answers math numbers x. Converting From Percent to Decimal. Use our percent to decimal calculator above to write any percent values as a decimal. If you want a complete lesson, a Tarsia jigsaw, or a fun and engaging lesson activity, then you have come to the right place!. To convert a fraction to a decimal, divide the numerator by the denominator. In this sorti. This means that the number goes on forever and doesn't stop. UNIT GOALS Like the work done to develop fraction operations, students will engage in many problem situations as they develop algorithms for adding, subtracting, multiplying, and dividing decimals. 3 to a fraction. The student does not convert a decimal that has non-repeating digits before the repeating digits into a fraction. What is a Repeating Decimal Suppose we are building a bridge to go over a small creek. Converting decimal fraction to a percentage. Converting Fractions, Decimals, and Percents fraction decimal percent a. This all starts with converting fractions to decimals! Recognizing common fraction and decimal equivalents and understanding terminating and repeating decimals are requisite skills. 4 the 4 has a line on top for repeating Algebra -> Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: write decimal as a fraction: 3. This is a recurring decimal and the dots above the 1 and the 5 digit indicate that 185 are the recurring digits. That same number can also be represented as a decimal, a percent, or with a negative exponent. Writing Rational Numbers as Decimals Converting Percents to Fractions and Decimals Converting Fractions and Decimals to Percents Conversions between percents, fractions, and decimals can be applied in real-life situations. Converting a Pure Recurring Decimal into Vulgar Fraction: Write the repeated figures only once in the numerator and take as many nines in the denominator as is the number of repeating figures. 8 e IMMagdte2 KwBiptShd MIQnefZi1nviGtbei 4P1r6eW-lAolxgweebjrGaz. However, the actual calculated value is 0. For example, the fraction 6/12 can be reduced down to 3/6. As you will see in this next example, the quotient continues in a certain repeating pattern. Repeating Decimals to Percents. Divide 5 by 6. This is written by placing a dot over the first and the last recurring digit. In this lesson you will learn how to convert repeating decimals into fractions. So this is the same thing as. Recognise that recurring decimals are exact fractions and that some exact fractions are recurring decimals. Every repeating decimal can be written as a fraction. Write the decimal 4. Converting a Pure Recurring Decimal into Vulgar Fraction: Write the repeated figures only once in the numerator and take as many nines in the denominator as is the number of repeating figures. All recurring decimals can be represented as fractions. Repeating Decimals Into Fractions - Displaying top 8 worksheets found for this concept. If you want to convert a decimal to a percent, multiply it by 100. Figure 1: Repeating Decimals [1] In order to model this behaviour in Python, we can start by creating an empty list (quotient _num) which we are going to update with all the new numerators and quotients registered after the decimal point (using a list inside a list). Some of the worksheets displayed are Fractions decimals and percents, Convert decimals to, Converting fractions decimals and percents, Fractions decimals percentages, Fractions into decimals 1, Fractions work converting fractions to terminating, Fractions and decimals, Fractions into. A recurring decimal is a decimal number which does go on forever, but where some of the digits are repeated over and over again. 333; There are 3 repeating decimals. Pre-Test for Module 2: Fractions, Decimals, Ratios and Percentages. Did you know that all repeating decimals can be rewritten as fractions? To make these kinds of decimals easier to write, there's a special notation you can use! Learn about repeating decimals in this tutorial. repeating decimal A decimal in which one digit or a group of digits is repeated without end. This is simple division. An introduction describes how parents and teachers can help students make the most of this workbook. Converting Fractions to Decimals • To convert a Fraction to a Decimal manually, follow these steps: • Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s. The worksheets are available both in PDF and html formats (both are easy to print; html format is editable). percentage to decimal= divide by 100 terminating decimals to fractions- digits after decimal point on top, power of ten on bottom with the same number of 0's as there were decimal places fractions and recurring decimals. a decimal in which after a certain point a particular digit or sequence of digits repeats itself indefinitely…. 27% with a repeating bar over the. What hit me as profound was the notion of multiplying a number by a recurring decimal. In the bottom of the fraction put a multiple of 10 (10, 100, 1000, etc. 50, which means half. Convert percents to decimal numbers. Knowing how to convert percents and decimals will help you calculate things like sales tax and discounts. How to convert recurring decimals to fractions? Recurring decimals. Converting between percentages, fractions and decimals worksheet (with solutions) A worksheet on converting decimals to percentages, percentages to fractions and fractions to percentages. 7 Worksheet by Kuta Software LLC. A recurring decimal is a number which keeps repeating forever after the decimal point. In this lesson you will learn how to find the decimal equivalent of any fraction or mixed number by using the standard algorithm for decimal division. All of the problems have answers with repeating decimals. 75 Example: Convert 5 12 18 into its decimal equivalent. Fractions, Decimals, & Percents Math Workbook (Includes Repeating Decimals) by Chris McMullen, 9781477524886, available at Book Depository with free delivery worldwide. So let's give ourselves a repeating decimal. Round to the nearest tenth of a percent. 333; There are 3 repeating decimals. Showing top 8 worksheets in the category - Converting Decimals To Fractions. 6 recurring means 16. We see this by looking at and how it is divided into a decimal form where we write the remainder of the hundredths position as a fraction. Fraction Decimal Percentage Worksheets Our worksheets help children convert fractions to decimals and percentages with ease. Practice converting fractions to decimals in this fun free arcade flash math game. Figure out the missing decimals or percents and fill them in on the cards. Fractions, Decimals & Percentages (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. DECIMALS, RATIO, PROPORTION, AND PERCENT Repeating Decimals (1) Fractions in simpliﬁed form with only 2’s and 5’s as prime factors in the denominator convert to terminating decimals. 82 to a percentage. of decimal, else we subtract 1 from numerator. Subtract the value of n from the value of 10n so you get all the decimal places to zero. Percent means "per 100" and can be expressed in percent form which has a % symbol after the number, or in decimal form, which does not have the % symbol. The Corbettmaths video tutorial on converting recurring decimals to fractions. Writing Non Terminating Recurring Decimal in the form P by Q Shortcut Trick Part 3 Percents And Equivalent Fractions. Remember the decimal point. Slides | Comparing Fractions & Decimals. Check whether decimal is recurring. Convert Percents to Decimals. How do you get -2/9 as a decimal? How do I turn -2/9 into a decimal? It can be a repeating decimal it just has to be a decimal and I'm not sure how to make it a decimal. In this video, I want to talk about how we can convert repeating decimals into fractions. 5% is halfway between 16% and 17%. Worksheet Changing Fractions Into Decimals, Converting Fractions To Hundredths A, Converting Fractions To Terminating And Repeating Decimals A, Convert Between Fraction Decimal And Percent Worksheets, Convert Fractions Into Decimals To The Nearest Hundredth Grade 6 Math Fraction, Recurring Decimals To Fractions Worksheet By Samfletch18 Teaching Resources, Math Teaching, Converting Fractions To. In this sorti. Converting a ratio to a percentage. 003̅ = (58/100) + (1/300) = (7/12) But I feel like this confused her when I explained it. Videos, worksheets, 5-a-day and much more. Does not need any other downloaded software - just a JavaScript-enabled browser. Irrational numbers help » Recurring decimal help » Recurring decimal help » Maths - Exact Value » Why does 0. Step 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 numerator. Once you have the decimal form, you will just need to multiply that value by one-hundred to convert it to percentage format. Decimal Division (One Digit Repeating Decimals) Worksheet 2 – On this 9 problem worksheet, you will divide decimals where the quotient has a one-digit repeating decimal pattern. You may select 3 or 4 digit to the right of the decimal. 6 followed by a (theoretically?) infinite number of 6's. If decimal is recurring, we then return the exact recurring decimal. This is written by placing a dot over the first and the last recurring digit. Writing Rational Numbers as Decimals Converting Percents to Fractions and Decimals Converting Fractions and Decimals to Percents Conversions between percents, fractions, and decimals can be applied in real-life situations. But there's one type of repeating decimal that we haven't talked about yet—and that's a decimal that doesn't start repeating until some number of digits after the decimal point. Solution: We notice that the digits 5, 7, 1, 4, 2 and 8 begin to repeat.