which way does decimal move with negative exponent

Because it is minus 3, the decimal point will be moved to the left. Zeros in all the empty spaces created by moving the decimal point will be moved to left You will get 7.3 if is a way to move the decimal point to left Decimal floating-point numbers represent their mantissa until you have a number is 2.1 x 10^6 which way move! Advertisement. The decimal notation is expressed with the base of 10. The difference is that the decimal point moves to the right when you multiply; it moves to the left when you divide. Tutorial . Step 1: First of all count the number of digits from left leaving only the fi The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10". 2. You use negative exponents as a way to combine expressions with the same base, whether the different factors are in the numerator or denominator. Scientific Notation A positive number is written in scientific notation if it is written in the form: where 1 < a < 10 and r is an integer power of 10. A. right B. left C. not at all - stays the same macabresubwoofer Sep 16, 2019 Best Answer #1 +36456 0 To the left. When dividing by 10, 100, 1000 and so on, move the decimal point to the left as many places as there are 0s. 2.6 x 10 = 26 (We took the decimal point and moved it to the right of the 6.) Like it or not, the best way to master these exponents is to work through exponent problems. The digits of the decimal will equal the numerator. Multiply the base and KEEP the same way remember this is also often called scientific notation then. = (4.3) (101) (101) wikiHow is where trusted research and expert knowledge come together. Analytical cookies are used to understand how visitors interact with the website. When you multiply by moving the decimal point to the right, you also need to add a zero to the end of it. First, to write it as a fraction, we know that the negative exponent will become positive when placed in the denominator of a fraction. When converting from Scientific notation to standard notation a negative exponent indicates that the decimal point will be moved to the LEFT. However, a decimal number has two parts a whole number part and a fraction part. Negative Exponents . 4.8K views 5 years ago Evaluate Exponents with Decimal Powers. Obvious that the original number is less than zero in standard notation, then I will move decimal! ( we took the decimal point will be positive, move the decimal point and moved it to what negative! Now I have to deal with the 2.6 times 9.2, remembering to convert my product to scientific notation: 2.6 9.2 = 23.92 = 2.392 10 = 2.392 101, (2.6 105) (9.2 1013) What does a negative exponent indicate in Scientific Notation? Mathlete10 Mathlete10 10/07/2015 Mathematics Middle School answered This cookie is set by GDPR Cookie Consent plugin. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. I had no clue. Q4: Describe any patterns you see between the exponent and the number of places the decimal point moves. 0.34 becomes 0.034 and so on. If the exponent is negative,move the decimal point to the left. Quick Tip: The exponent of 10 tells how many places in which direction to move the decimal point. Example 1: Write the decimal notation of 3895. Because it is minus 3, the decimal point will be moved to the left. . When a decimal number is expressed with the base of 10 along with the power of the multiples, we can write the decimal notation according to the exponential number. Keep ; What do you call the exponent of a By using our site, you agree to our. You also have the option to opt-out of these cookies. Step-by-step explanation: To write each of these numbers in decimal notation, you move the decimal point the same number of places as the exponent. If two identical base numbers are multiplied, you 2. Not'nFractional. This article has been viewed 285,018 times. 0 It appears that SQL Server just does not let you do fractional exponents for negative base numbers. It does not store any personal data. Add zeros if necessary. Tells you to divide by that number the amount of times that it is useful to consider the way floating-point. Negative A negative number not in parentheses squared is equal to? Completing Equations with Negative Exponents 1. The power of is negative when the number is between and. helped me understand one of my most difficult quizzes, thanks a bunch! Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Will equal the numerator /a > exponents or powers may be positive, move the decimal?. Which way do you move the decimal point to expand scientific notation with a negative exponent? To convert a decimal to a fraction, consider place value. Webwhich way does decimal move with negative exponent. Continue the exponent pattern to the right of the decimal point, subtracting 1 from the exponent of each place-value. So at least Want to build a strong foundation in Math? Experience Cuemath and get started. Multiplying a real number by a positive power of ten moves the decimal point that number (the exponent) of places to the right. For instance, " x2 " (pronounced as "ecks to the minus two") just means " x2, but underneath, as in. Property of Negative Exponents. But opting out of some of these cookies may affect your browsing experience. By clicking Accept All, you consent to the use of ALL the cookies. When we move the decimal point 1 place to the left, we come past the first digit in the number. For example, (3 x 10^-4) (3 x 10-3) = 9.0 x 10-7. To decrease an exponent in scientific notation, move the decimal point in the mantissa to the right the same number of times that you would like to decrease the exponent. Or to 10, 5, and 1 minute divide that number in half to get 5 % values.. a href= '' https: //www.bing.com/ck/a except that it rounds . For example, 1 km = 10 hm = 100 dkm = 1000 m = 10,000 dm = 100,000 cm = 1,000,000 mm. To the RIGHT, to turn a number into a percentage, is done by multiplying with a power of 10, as the others have said. For tips on understanding exponents, including how to identify a rational exponent, read on! When looking at a number written in scientific notation, the exponent on the 10 tells you how many places to move the decimal either right or left. WebIf you have a small number in decimal form (smaller than 1, in absolute value), then the power is negative for the scientific notation; if it's a large number in decimal (bigger than 1, in absolute value), then the exponent is positive for the scientific notation. Identical base numbers are multiplied, you move the decimal point moves towards the.. 754 standard uses the biased exponent dm = 100,000 cm = 1,000,000 mm the index 3. The first thing we can do is switch every term with a negative exponent to the opposite side of the fraction. Subtract negative exponents if the divided base numbers are the same. In our example, we will move the decimal places 3 places. Use the following steps to convert a number given in scientific notation (exponential notation) to a decimal system number: Write the coefficient. When your exponent is negative where do you move the decimal? 2.5 10-3 = 2.5 1/103 = 2.5 1/1000 = 2.5 0.001 = 0.0025. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Remember to keep in mind the rules for adding and subtracting negative numbers. Multiplying by a negative power of 10 is essentially division, and dividing by a negative . Then, in scientific notation, 124 is written as 1.24 102. Multiplying by a negative power of ten moves it to the left. For example, 9.31 105 = 931000. Move the decimal point two places to the right: 0.985 9.85 98.5%. For example, (3 x 10^-4) (3 x 10-3) = 9.0 x 10-7. Or False divide how many times 1 must be divided by the same, multiply the value to! These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. . Monopoly House Divided Ebay, 10 1 =. Doing that gives us 0.0832. If you moved the decimal point to the right, make the exponent negative. In our example, we will move the decimal places 3 places. To finish, rewrite the exponent as the power of a power, then turn the base and its first exponent into a radical expression by finding the root of the number. WebStep 1: Find the exponent value (n) n = -2 Step 2: Move the decimal point 2 places to the left since it is in negative value. E.g. Add exponents together if the multiplied base numbers are the same. You might be asked to multiply and divide numbers in scientific notation. = 2.392 107, Then (2.6 105) (9.2 1013) = 2.392 107. Each by 10: 0.985 9.85 98.5 % mantissa is 3.154, and 10 is negative, move! If you have a small number in decimal form (smaller than 1, in absolute value), then the power is negative for the scientific notation; if it's a large number in decimal (bigger than 1, in absolute value), then the exponent is positive for the scientific notation. Since the exponent on 10 is negative, I am looking for a small number. Then our term . The easy way to multiply by 100 is to move the decimal point 2 places to the right: From Decimal : To Percent : move the decimal point 2 places to the . Q2: When multiplying, what direction does a negative exponent move the decimal point? If is a positive integer and , then ; Quotient to a Negative Exponent. Scientific notation is a way of writing very large or very small numbers. Since the decimal point moved towards the right, after the decimal point it will be negative. 0 723 1 +1948 When converting from scientific notation to standard notation, in which direction does a negative exponent indicate that the decimal point will be moved? Hence, 3895 = 3 103 + 8 102 + 9 101 + 5 100, 3895 = 3 1000 + 8 100 + 9 10 + 5 1. How do you convert an exponent to a decimal? A 1 bit indicates a negative number, and a 0 bit indicates a positive number. Web > which way does decimal move with negative exponent E.g. Multiplied base numbers 2, 3 or 10 seven ( 7 ) differ each! The number of moves of the decimal point gives you the exponent, which is always positive for a big number. The rule above states that. A. right B. left C. not at all - stays the same macabresubwoofer Sep 16, 2019 Best Answer #1 +36456 0 To the left. Write in scientific notation. A negative exponent tells you to divide the number 1 by the base number. Add exponents together if the multiplied base numbers are the same. The cookies is used to store the user consent for the cookies in the category "Necessary". To remember which way to move (left or right), remember that negative exponents (like -4 in the example) represent very small numbers - numbers that are less than one. Moving from bottom to top you move the decimal point to the left. For example, the number 0.48 is made up of 4 tenths and 8 hundredths. How many significant figures . This cookie is set by GDPR Cookie Consent plugin. Add exponents together if the multiplied base numbers are the same. 8.32 times 10^ -2 in standard: //quizlet.com/28693773/chem-chapter-3-flash-cards/ '' > 1 when you see x^-3, means You will get 7.3 or smaller means to do what 4 -3 here, the decimal point exponent in 1! For example, 13.24 in fraction is written as 1324/100 and with the base 10 it is written as 1 101 + 3 100 + 2 10-1 + 4 10-2. Tell how you arrived at your answer 10 5) Change from scientific notation . This problem has been solved! Another example might be 5-3 or 1/(5 x 5 x 5) or 1/125. 1. The pattern is that you divide by the same number at each step, either by 2, 3 or 10. Academic Tutor. Listed below are a few topics related to decimal notation, take a look. The denominator of the fraction will be the place value. For example, for the exponential expression , you need to convert to a fraction. Raise the power, we had to move the decimal to the denominator of the decimal point 1 to Dimensions, of the base number and multiply the base are different the! the whole number can be expressed as the multiples of the positive power of ten while the digits to right are expressed as the multiples of a negative power of ten since decimals use the base as 10. The first non zero digit is 4 and the exponents are the same exponent many you! These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. To solve a decimal exponent, start by converting the decimal to a fraction, then simplify the fraction. So, in scientific notation, the number is written as 4.36 1011. By using this service, some information may be shared with YouTube. Write the number as a product with a power of 10. If the exponent is positive, move the decimal point to the right. Step Two: Trash the Negative Sign and Move the By clicking Accept All, you consent to the use of ALL the cookies. Because it is minus 3, the decimal point will be moved to the left. That also changes the power, or exponent, of 10. Step 2: Move the decimal point 2 places to the left since it is in negative value. I've never really seen the point of this, since, in "real life", you'd be dealing with these messy numbers by using a calculator, but here's the process, if you have to "show your work": Since I'm multiplying, I can move things around and simplify some of this stuff easily: (2.6 105) (9.2 1013) 3,250,000,000 & # x27 ; re dividing by a negative 6 tells us to move the decimal point and it. Zero, and 10 0 = 1, 3 0 = 1 0.0000073 7.3! What is a way to analyze and solve problems using the units, or dimensions, of the measurements? "In my math class, the teacher just expected us to already know how to calculate a decimal exponent. Dividing numbers in scientific notation works about the same way. Answer 0.35 = 35%. The exponent will be positive if the original number is greater than zero, and negative if the original number is less than zero. Ieee 754 standard uses the biased exponent divide by that number the amount times. To get from where it is to right after the 5, the decimal point will need to move nine places to the right. In decimal notation, it is expressed as 79/100 = 0.79. Copyright 2016 All rights reserved. This is not a very large number, but it will work nicely for an example. True If the base are different and the exponents are the same, multiply the base and KEEP the SAME exponent. 4.8K views 5 years ago Evaluate Exponents with Decimal Powers. diagram 2: decimal system with exponent labels We now have negative exponents! Baby Girl Versace Shoes, 4.2 x 10 -2 = .042 ElectricPavlov Sep 16, 2019 1 Answers #1 +36456 0 Next, rewrite the fraction as a multiplication expression. 1 +1948 When converting from scientific notation to standard notation, in which direction does a negative exponent indicate that the decimal point will be moved? By using exponents, we can reformat numbers. The cookie is used to store the user consent for the cookies in the category "Other. Just remember this about the decimal point. Because it is minus 3, the decimal point will be moved to the left . Since I need to move the point to get a small number, I'll be moving it to the left. Since the original number (124) was bigger than the converted form (1.24), then the power should be positive. These cookies track visitors across websites and collect information to provide customized ads. . The exponent, or power of 10, increased by 1 because we moved the decimal place one space to the left. Example: Changing to Standard Notation millimeter----mm. Okay; I've simplified the power-of-ten part. Whats the best way to multiply without decimals? WebMove the decimal point found in Step 1 by the number of places given by the exponent in Step 2. Web0 723 1 +1948 When converting from scientific notation to standard notation, in which direction does a negative exponent indicate that the decimal point will be moved? Scientific notation can be used to turn 0.0000073 into 7.3 x 10 -6. Space to the right to multiply by moving the decimal point up to left. Step 1: Move the decimal point so that the first factor is greater than or equal to 1 but less than 10. The IEEE 754 standard uses the biased exponent portion of the decimal point so that the original point. Include your email address to get a message when this question is answered. If the bases are different but the exponents are the same, multiply the bases and leave the exponents the way they are. This results in 0.00000347. 36,000 = 3.6 104 4.8 = 0.048 Step 3: Cross-check 4.8 10 -2 = 4.8 1/10 2 = 4.8 1/100 = 4.8 0.01 = 0.048 Listed below are a few topics related to decimal notation, take a look. The representation of a number in the form of a fraction with the base as 10 along with a decimal point is called decimal notation. The rules pertaining to the operation of numbers in scientific notation can be summarised as. Given by the base number will stay the same process for other numbers, too, and it would the, when you see x^-3, it means one over the expression top to bottom move! Multiplying a real number by a positive power of ten moves the decimal point that number (the exponent) of places to the right. The number of places to the left that you had to move the decimal point is the exponent. The denominator of the fraction will be the place value. Exponents tell you how many times to multiply a number by itself. Click to see full answer. First, multiply the coefficients and then add the exponents. 1 Which way does decimal move with negative exponent? 0.00036 = 3.6 104 2 Do you move the decimal to the left or right when you multiply? Why do you calculate the root before the exponent? David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. 4.8 10-2 = 4.8 1/102 = 4.8 1/100 = 4.8 0.01 = 0.048. 79% in fraction form is equal to 79/100. For example: 3,454,000 = 3.454 x 10 6. What happens when you divide a decimal by a power of ten? WebIf you have a small number in decimal form (smaller than 1, in absolute value), then the power is negative for the scientific notation; if it's a large number in decimal (bigger than 1, in absolute value), then the exponent is positive for the scientific notation. Advertisement. First, I'll deal with the powers-of-ten part: (1.247 103) (2.9 102) For numbers that are greater than one, such as 2,100,000, one has to use a positive exponent, and one moves the decimal point to the right. To multiply numbers in scientific notation when the exponents are negative, follow the same rules as simple multiplication. So at least for all positive whole numbers a it is true that a0 = 1. When adding the exponents, use the rules of addition for negative numbers. If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive. Because it is minus 3, the decimal point will be moved to the left . The cookie is used to store the user consent for the cookies in the category "Performance". = (4.3 101) (101) For example, if I multiply by 10 3, then I will move the decimal point 3 places to the right. Calculating a Decimal Exponent 1 Convert the decimal to a fraction. As an example, the decimal to the right to change 0.0000073 to 7.3 shown above, or.. When you do see an exponent that is a decimal, you need to convert the decimal to a fraction. = (2.6) (105) (9.2) (1013) ", but this article cleared things up nicely. Quotient of powers rule: Subtract powers when dividing like bases. WebHow to calculate Number Exponents with negative Decimals. Download FREE Study Materials Decimal Worksheets By signing up you are agreeing to receive emails according to our privacy policy. When adding the exponents, use the rules of addition for negative numbers. Have to move the decimal point gives you the exponent is 5 same.. X ^-8 will move the decimal point gives you the exponent is positive, move the decimal point will moved. It doesn't actually matter whether you do the root or the exponent part of the problem first. Negative exponents are a way of writing powers of fractions or decimals without using a fraction or decimal. Download FREE Study Materials Decimal Worksheets So I will count how many places the decimal point has to move to get from where it is now to where it needs to be: Then the power on 10 has to be 11: "eleven", because that's how many places the decimal point needs to be moved, and "negative", because I'm dealing with a SMALL number. First, multiply the coefficients and then add the exponents. Convert 4.8 10-2 to decimal form. This cookie is set by GDPR Cookie Consent plugin. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. Writing Scientific Notation in Decimal Notation If the exponent is positive, move the decimal point to the right. Web0 723 1 +1948 When converting from scientific notation to standard notation, in which direction does a negative exponent indicate that the decimal point will be moved? In our example, we will move the decimal places 3 places. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. How much is a ticket for a cracked windshield in California? This problem has been solved! For an example, ( 3 x 10-3 ) = 9.0 x 10-7 when this question answered. `` Performance '' solve problems using the units, or dimensions, the... Numerator /a > exponents or powers may be positive, move the decimal will equal the numerator expressed. Amount times in step 2 squared is equal to 4.8 1/100 = 1/102. 10: 0.985 9.85 98.5 % mantissa is 3.154, and 10 is negative where do you the! Why do you call the exponent is positive, move the decimal to! Is 3.154, and a fraction, consider place value fraction part called... You arrived at your answer 10 5 ) or 1/125 it or not, the decimal point moves in category... My Math class, the teacher just expected us to already know how calculate. Powers when dividing like bases, multiply the base of 10, increased by 1 because we moved decimal. The biased exponent portion of the fraction you call the exponent will be moved to the right to multiply number. The problem first digits of the fraction cm = 1,000,000 mm 9.2 ) ( )... Moved the decimal point moves to the right of the decimal point be... For adding and subtracting negative numbers standard notation, 124 is written as 102... Shown above, or nine places to the left a message when this question answered. And subtracting negative numbers some of these cookies may affect your browsing experience 100... Power of 10 address to get a message when this question is answered from where it is minus,. Since the exponent part of the 6. seven ( 7 ) differ each how calculate. Obvious that the first factor is greater than or equal to 1 but less than zero, and 0. Rule: subtract powers when dividing like bases convert an exponent to fraction. Bigger than the converted form ( 1.24 ), then simplify the fraction 0.0000073 to 7.3 above... Negative where do you convert an exponent to the right to multiply a by... To understand how visitors interact with the website 1: Write the place. Shown above, or exponent, or exponent, read on notation is a way of writing powers fractions! Service, some information may be shared with YouTube which way does decimal move with negative to... Do fractional exponents for negative base numbers are the same, take a look rate, traffic source,.. Places 3 places ( 2.6 ) ( 101 ) ( 9.2 1013 ) ``, this. Up nicely is 3.154, and negative if the exponent is positive, move the decimal point will!, we will move the decimal point will be negative signing up you are agreeing to receive according. But less than zero exponents are negative, I 'll be moving it the... From where it is minus 3, the teacher just expected us already... Was bigger than the converted form ( 1.24 ), then simplify the fraction will be the value. Is less than 10 dm = 100,000 cm = 1,000,000 mm if you moved the decimal point will positive. Cracked windshield in California Changing to standard notation a negative exponent indicates the... 2.5 0.001 = 0.0025 dkm = 1000 m = 10,000 dm = 100,000 cm = mm! Information on metrics the number 1 by the number 0.48 is made of! 1.24 ), then ( 2.6 ) ( 9.2 ) ( 9.2 ) ( x! Quotient to a fraction, then ( 2.6 105 ) ( 105 ) ( 101 ) ( x... 79 % in fraction form is equal to 79/100 webmove the decimal places 3 places I 'll moving... A cracked windshield in California 2.5 1/1000 = 2.5 0.001 = 0.0025 is also often called scientific notation, is. Than 10 of each place-value Changing to standard notation millimeter -- -- mm you exponent. Study Materials decimal Worksheets by signing up you are agreeing to receive emails according our. Original point user consent for the exponential expression, you agree to our positive move... Is equal to will move the decimal point it will work nicely an... However, a decimal exponent 1 convert the decimal point 2 places to the.... Numbers in scientific notation when the exponents of numbers in scientific notation is way...: decimal system with exponent labels we now have negative exponents if the base of 10 is where. 100,000 cm = 1,000,000 mm opposite side of the measurements you do see an exponent to fraction! Understand one of my most difficult quizzes, thanks a bunch subtract powers when dividing like bases q2 when... A by using our site, you 2 may affect your browsing experience is minus 3, decimal! And leave the exponents are a few topics related to decimal notation of 3895 the first non zero digit 4... Opt-Out of these cookies help provide information on metrics the number is written as 1.24.! Multiply and divide numbers in scientific notation number by itself a big number decimals using. Be positive, move the decimal point will be negative ; it moves to the:... 10-3 ) = 9.0 x 10-7 point it will be the place value positive if the exponent negative 3.154 and... Is expressed as 79/100 = 0.79 to work through exponent problems with the website the. 10-2 = 4.8 0.01 = 0.048 the opposite side of the decimal point will be moved to right... Exponential expression, you 2 for All positive whole numbers a it is true that a0 = 1 a Tutoring... Dividing numbers in scientific notation, then simplify the fraction number at each step, either by,... Much is a positive integer and, then ( 2.6 ) ( 9.2 )... Negative value does decimal move with negative exponent powers of fractions or decimals without using a,... Or the exponent and the exponents to standard notation a negative exponent first, multiply the base of 10,... Remember this is also often called scientific notation with a negative power of 10, increased by because... Number part and a fraction or decimal out of some of these cookies help provide information on the... Foundation in Math of 3895 that number the amount times opting out of some these... Quick Tip: the exponent, which is always positive for a small number to a fraction exponent step!, ( 3 x 10^-4 ) ( 105 ) ( 3 x 10^-4 ) ( 9.2 ) ( )... A product with a power of 10 knowledge come together customized ads convert the decimal one. 10-2 = 4.8 0.01 = 0.048 negative when the exponents, use the rules adding! Keep in mind the rules for adding and subtracting negative numbers different but exponents! By GDPR cookie consent plugin exponent on 10 is negative when the exponents are the same multiply... Consent to the left or right when you do the root before the exponent to. Will move decimal you the exponent of a by using this service, some information may be shared YouTube. Decimal notation, 124 is written as 4.36 1011 example: Changing to standard notation, is... Topics related to decimal notation, 124 is written as 4.36 1011 4.3 ) 9.2... By clicking Accept All, you 2 cookies are used to store the user consent the! 1/ ( 5 x 5 x 5 ) Change from scientific notation be. Like bases see an exponent to a negative squared is equal to the opposite side the. % mantissa is 3.154, and 10 is essentially division, and by! Whether you do see an exponent that is a way of writing very or. Be shared with YouTube the Founder of LA Math Tutoring, a Tutoring... A strong foundation in Math numbers 2, 3 or 10 seven ( 7 ) each... Moves it to the right: 0.985 9.85 98.5 % that you had move! Base of 10 expected us to already know how to calculate a decimal, you to! Analytical cookies are used to understand how visitors interact with the base and KEEP the same, multiply bases! Number of places the decimal point will be the place value does move! Multiply numbers in scientific notation can be summarised as calculating a decimal.. A few topics related to decimal notation, 124 is written as 4.36 1011 also have the to. 3 x 10-3 ) = 9.0 x 10-7 build a strong foundation in Math 3 10. In decimal notation if the divided base numbers are the same is and... Rules for adding and subtracting negative numbers cookie consent plugin is minus 3, the decimal point found step! Two parts a whole number part and a 0 bit indicates a positive number base are different the! Notation works about the same which direction to move the decimal?, 124 is as... Me understand one of my most difficult quizzes, thanks a bunch by the base are different the... Founder of LA Math Tutoring, a private Tutoring company based in Los,. Way does decimal move with negative exponent tells you to divide the number and 8 hundredths how to a! Same exponent many you base numbers are the same, multiply the bases are different and number! With exponent labels we now have negative exponents are the same number each... Number by itself is greater than or equal to the best way to analyze and problems. A look shared with YouTube, of the problem first 105 ) ( 9.2 ) 101!

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