Significant figures examples with answers

10) Sf.: 5 Rule: In a number written in scientific notation, all the numbers before the power of 10 are significant. 11) Sf.: 3 Rule: In a decimal number start counting at the first non-zero number and count all the way to the end. 12) Sf.: 5 Rule: Count from first non-zero number to the last non-zero number The significant figures of a given number are those significant or important digits, which convey the meaning according to its accuracy. For example, 6.658 has four significant digits. These substantial figures provide precision to the numbers

Significant Figures Examples with answers (1)

  1. Units and Significant Figures1. Express 1880000 in scientific notation. A) 5.53 10-8B) 1.88 10-6C) 1.88 106D)E)188 106188 1042. Express 30501000 in scientific notation. A) 3 107B) 3.0501 107C) 305 107D)E)30501 103305010 1073
  2. because they are exact numbers. Any such equality will not dictate the sig figs in your final answer. H. More examples: 1. 3340 ft x 1.2 ft = 4.0 x 103 ft2 The answer must have 2 sig dig cause of the 1.2 thus 4000 is incorrect because it only has 1 sig dig. 2. 88359 m2 / 3 m = 30,000 m The answer can only have 1 sig dig cause of the 3. 3
  3. Significant Figures Questions and Answers. Get help with your Significant figures homework. Access the answers to hundreds of Significant figures questions that are explained in a way that's easy.
  4. g multiplication and division, the answer must have the same number of significant figures as the least specific number. For example, 5.20 g/mL has three significant figures, while..
  5. Practice Problems: Significant Figures (Answer Key) How many Significant figures in each term? a. 34.6209 6 b. 0.003048 4 c. 5010.0 5 d. 4032.090 7; Solve the following equations using the correct number of significant figures. a. 34.683 + 58.930 + 68.35112 161.964 b. 45001 - 56.355 - 78.44 4486
  6. e how many significant figures a given number has. Deter
  7. e the difference between times. Rounding Significant Figures Worksheet

Significant Figures - Definition, Rules and Example

1001 - significant figure 4 All zeros placed to the right of a number are significant. For example, 16.0 has three significant figures, while 16.00 has four significant figures. Zeros at the end of a number without decimal point are ambiguous 0001 Lecture Notes - Introduction to Significant Figures with Examples.doc page 1 of 1 Flipping Physics Lecture Notes: Introduction to Significant Figures with Examples Significant Figures are a necessary part of any math based science. Significant Figures are the digits in your number that were actually measured plus one estimated digit Example. Significant Figures. Every non-zero digit is significant. 1234. 4. Zeros in between non-zero digits are significant. 101.001. 41003. 6. 5. Zeros at the end of the answer when no decimal point is specified are not significant. 500. 13000. 140e-001. 1. 2. Rules for Significant Figures (sig figs, s.f.) A. Read from the left and start counting sig figs when you encounter the first non-zero digit 1. All non zero numbers are significant (meaning they count as sig figs) 613 has three sig figs 123456 has six sig figs 2. Zeros located between non-zero digits are significant (they count Significant Figures Worksheet 1. Indicate how many significant figures there are in each of the following measured values. 246.32 107.854 100.3 0.678 1.008 0.00340 14.600 0.0001 700000 350.670 1.0000 320001 2. Calculate the answers to the appropriate number of significant figures. 32.567 135.0 + 1.456

Units and Significant Figures Examples with answers - StuDoc

For example, in a number such as 46.28, there are a total of four significant figures, and in 5.85, there are three. The main issue arrives when there are digits such as 0.00750 or 49.02. #2 - Zeroes that are present between any two significant numbers are also significant: This is another rule which is quite understandable from its title Significant figures start at the first non-zero number, so ignore the zeros at the front, but not the ones in between. Look at the following examples: From the first significant figure onwards, all.. In mathematics, a significant figure refers to each of the digits of a number that is used to express it to the specified degree of accuracy, beginning from the first digit that isn't zero. For example, pi has an infinite number of significant figures but is often rounded to just three, i. E. , 3 Also, remember that an exact number ending in zero also has a small ambiguity regarding the significance of the zero, i.e., the zero need not be necessarily significant, though they are considered so, in most of the cases. For instance, the number 52300 may have 5 or 3 significant figures. Examples. 123.56784 has 8 significant figures

For example; 4.5006 have five significant figures. Zeroes at the end or on the right side of the number are also significant. For example; 0.500 has three significant figures. Counting the number of objects for example 5 bananas 10 oranges have infinite figures as these are inexact numbers. Significant Figures Examples

Significant Figures Questions and Answers Study

Here are some rounding examples; each number is rounded to four, three, and two significant digits. Round 742,396 to four, three, and two significant digits: To do my rounding, I have to start with the first significant digit, which is the 7. Then I count to the right from there Powered by https://www.numerise.com/Rounding to significant figures www.hegartymaths.com http://www.hegartymaths.com/ About Press Copyright Contact us Creators Advertise Developers Terms Privacy. Significant figures (also known as the significant digits, precision or resolution) of a number in positional notation are digits in the number that are reliable and absolutely necessary to indicate the quantity of something. If a number expressing the result of measurement of something (e.g., length, pressure, volume, or mass) has more digits than the digits allowed by the measurement. Rounding Significant Figures Practice Questions Click here for Questions . Click here for Answers . Practice Questions; Post navigation. Previous Quadratic Formula Practice Questions. Next Rounding Highest Lowest Practice Questions. GCSE Revision Cards. 5-a-day Workbooks. Primary Study Cards

142.617 has 6 significant figures and should not be confused with the number of decimal places to which the number is given which is 3dp. To 5 significant figures, the answer is 142.62 To 4 significant figures, the answer is 142.6 To 3 significant figures, the answer is 142 To 2 significant figures, the answer is 140 (the final zero is retained to indicate the position of the decimal point. Example: 2000 has 1 significant figure (2), 3400 has 2 significant figures (3, 4) For numbers with decimal point, the trailing zeroes become significant. Example: 2.20 has three significant figures (2, 2 and 0) Rounding off Uncertain Digits. We round off numbers to reduce significant figure and give more precise answers now that we have a decent understanding of how to figure out how many significant figures were even dealing with let's think about a situation where we're significant figures will or might become relevant so let's say that I have a carpet here and I using a maybe a meter stick I'm able to measure the carpet to the nearest centimeter and so I get the carpet as on to the nearest centimeter I get. This video tutorial provides a fast review on significant figures. It explains how to count the number of significant figures by identifying nonzero digits,..

For example, 12.6 is rounded to 13. (2) If the digit to be dropped is less than 5, the last remaining digit is left as it is. For example, 12.4 is rounded to 12. (3) If the digit to be dropped is 5, and if any digit following it is not zero, the last remaining digit is increased by one. For example, 12.51 is rounded to 13 Because our answer, using significant figures, can only include the first uncertain digit, our calculated value is 557.7 km. For multiplication and division, the calculated value should have the same number of significant digits as the value with the least number of significant digits that is used in calculation Examples of rounding to the correct number of significant figures with a 5 as the first non-significant figure Round 4.7475 to 4 significant figures: 4.74 7 5 becomes 4.748 because the first non-significant digit is 5, and we round the last significant figure up to 6 to make it even Significant Figures in Calculations Rules When doing multiplication or division with measured values, the answer should have the same number of significant figures as the measured value with the least number of significant figures. •Procedure to determine significant figures after multiplication or division: 1 Example #1 - Suppose you wish to round 62.5347 to four significant figures. Look at the fifth figure. It is a 4, a number less than 5. Therefore, you will simply drop every figure after the fourth, and the original number rounds off to 62.53. Example #2 - Round 3.78721 to three significant figures. Look at the fourth figure. It is 7,

Data Representations, Significant Figures, Precision, Convergence Tolerances, Uncertainty, etc. Significant Figures. Relationship to Uncertainty Estimates. Carrying Significant Figures. Significant Figures. Most numbers have uncertainties associated with them. For example, if I say I weigh 168 lbs, what I am really saying is Example: 129 has 3 significant figures. 2) Zeros between significant digits are always significant. Example: 5,007 has 4 significant figures. 3) Trailing zeros in a number are significant ~nlv if the number contains a decimal point. Example: 100.0 has 4 significant figures. 100 has 1 significant figure Give the answer in correct scientific notation. a) 4.53 x 10 5 b) 1913.0 + 2.2 x 10 6 - 4.6 x 10 3 c) 2.34 x 10 24 d) 2.130 x 10 3 + 1.92 x 10 23 - 6.6 x 10 2 e) 9.10 x 10 3 Scientific Notation/ Significant Figures Worksheet 3. Significant Figures Practice Worksheet W 316 Everett Community College Tutoring Center Student Support Services Program How many significant figures do the following numbers have significant figures. include all known digits plus one estimated digit. rules. 1. all nonzero digits, 2. zeros between nonzero digits, 3. final zeros to the right of the decimal place, 4. zeros that are place holders are not sig figs # of sig figs: 1234. 4 # of sig figs: 10234.

Significant Figure: Definition, Examples & Practice

Counting Significant Figures How many significant figures are there in the following numbers? 1) 10.0075 There are 6 significant digits. The zeros are all between significant digits. 2) 10.007500 There are 8 significant digits. In this case the trailing zeros are to the right of the decimal point. 3) 0.0075 There are 2 significant digits Significant figures are important when recording and relaying scientific data because they provide the reader with an idea of how best one can report/measure data. For example, if 12.2, 3.66, 214.39 and 2.472 are to be added, the answer would be 232.7 because the number with least decimal places is 12.2 meaning the answer should be rounded to 0.1 decimal place If the last significant figure(s) is (are) zero, life gets a whole lot more complicated. Suppose I used a metric ruler with millimeter markings to measure the width of a skateboard. The skateboard, a precision model, measures exactly 20 centimeters, and I report the width as 20cm 0.02mm Significant Figures Here you can drill regarding significant figures. When you hit New Number, a number will appear in the left cell. Enter the number of signifcant figures in the right cell and press Check Answer The field Significant Figures does only relate to how the correct answer should be presented in the review or the reports. Examples: If it is set to 3 then the correct answer 13.333 would be presented as 13.3; 1236 would be presented as 1240; 23 would be presented as 23.0 etc. Page 2. Choose dataset propertie

Practice Problems: Significant Figures (Answer Key

A worksheet to consolidate on significant figures with a loop card activity Chem1 Significant figures and rounding off (Part 6 of 6 lessons on Essential background) covers this topic for a course in General Chemistry. It is part of the General Chemistry Virtual Textbook , a free, online reference textbook for General Chemistry by Stephen Lower of Simon Fraser University

In the above example 2.3 had 2 significant figures while 3.413 had 4, so the answer is given to 2 significant figures. It is important to keep these concepts in mind as you use calculators with 8 or 10 digit displays if you are to avoid mistakes in your answers and to avoid the wrath of physics instructors everywhere In the Answer Set Options section, use the Calculate Answers To menu to select the number of Decimals or Significant Figures for the generated correct answers. In the instance of trailing zeros, a decimal is needed for Learn to count the zeros as a significant figure

Example 11: Round 54671 to two significant figures. When we count significant figures we start counting from the first non zero digit. The first significant figure is the 5 (ten thousands), the second significant figure is the 4 (thousands). We can draw a line after two significant figures places and look at the next digit, the hundreds For example 0.025 has two significant figures. Rule 3: Trailing zeros are significant if a decimal point is shown in the number, but may or may not be significant if no decimal point is shown. By convention, it is assumed that trailing zeros without a decimal point are not significant For example 5.00 has 3 significant figures; the number 0.0005 has only one significant figure, and 1.0005 has 5 significant figures. A number like 300 is not well defined. Rather one should write 3 x 10 2, one significant figure, or 3.00 x 10 2, 3 significant figures. Absolute and relative error

Significant Figures and the BURET. A buret is used to deliver a measured amount of liquid into a container. You will be using a 25 mL buret with graduations every 0.1 mL. In reading numbers from a graduated scale, you always interpolate between the graduation marks Significant digits quiz. Determine how many significant digits there are in the following quantities In scientific notation, the digit term indicates the number of significant figures in the number. The exponential term only places the decimal point. As an example, 46600000 = 4.66 x 10 7 This number only has 3 significant figures. The zeros are not significant; they are only holding a place. As another example, 0.00053 = 5.3 x 10-

For example, 4.00 has three significant figures. If you are not sure whether a digit is significant, assume that it isn't. For example, if the directions for an experiment read: Add the sample to 400 mL of water, assume the volume of water is known to one significant figure The answer should not be 0.02, because 0.02 has only one significant digit; namely, the 2. The trailing zero in 0.020 indicates that this is accurate to the thousandths place, or two significant digits, and that trailing zero is therefore a necessary part of the answer. Just remember the difference Before you begin, remind yourself that these are not simple arithmetic problems. The point of this exercise is for you to practice WATCHING YOUR SIGNIFICANT FIGURES! Answers are provided at the bottom. Be sure to WRITE DOWN YOUR ANSWERS before you look at the correct answers provided. 9. The following are placed in a beaker weighing 39.457 g Here's a four page, 26 question worksheet featuring examples of figurative language taken from one of my favorite books, Lord of the Flies. Students determine what figure of speech is used and explain their answers A significant figure is any non-zero digit or any embedded or trailing zero. Leading zeros are not significant. The number may be rounded or padded with zeros to give it the correct number of significant figures. When multiplying values together, your result is only as significant as your least significant value

Section 4: Sine And Cosine Rule

Significant figures (practice) Khan Academ

  1. To keep track of significant figures in calculations, we will make frequent use of two rules. The first involves multiplication and division, and the second involves addition and subtraction. In multiplication and division the result must be reported with the same number of significant figures as the measurement with the fewest significant figures
  2. Level 4 - Rounding numbers to one significant figure. Level 5 - Rounding numbers to two significant figures. Level 6 - Rounding numbers to three significant figures. Level 7 - Rounding numbers to the nearest ten, hundred etc. More on this topic including lesson Starters, visual aids, investigations and self-marking exercises
  3. For Example: 2306 has four significant figures. 20,0894 has six significant figures. (3) Zeros locating the position of decimal in numbers of magnitude less than one are not significant. For Example: 0.2224 has only one significant figures. 0.0000034 has two significant figures. (4) Final zeros to the right of the decimal point are significant
  4. Identify the figure of speech used in the following sentences. Answers 1. Let him be rich and weary. (Paradox) 2. So innocent arch, so cunningl
  5. If we want 3 significant digits, we just need to create a formula that gives -2 based upon the position of the first significant digit, or 1+exponent. The formula for the exponent of 12783 is: 4 = INT (LOG10 (ABS (12783))) There we have it: 3 - (1 + 4) = -2. You can also use the ROUNDDOWN or ROUNDUP function in place of the ROUND function
  6. es whether round considers digits in relation to the decimal point or the overall number of significant digits.N must be a positive integer when you specify 'significant'.In that case, the round function rounds to the nearest number with N significant digits.. The default value is 'decimals', so that round(X,N.
  7. Tables and Figures. Note: This page reflects the latest version of the APA Publication Manual (i.e., APA 7), which released in October 2019. The equivalent resources for the older APA 6 style can be found at this page as well as at this page (our old resources covered the material on this page on two separate pages). The purpose of tables and figures in documents is to enhance your readers.
Solved: An Example Of A Chemical Property Of Formaldehyde

In the second case, the answer seems to have one significant digit, which would amount to loss of significance. However, in computer floating-point arithmetic, all operations can be viewed as being performed on antilogarithms , for which the rules for significant figures indicate that the number of significant figures remains the same as the smallest number of significant figures in the. Significant figures The rules for significant figures can be summarized as follows: 1. To determine the number of significant figures: o All nonzero digits are significant. (1.234 has 4 sig figs) o Zeroes between nonzero digits are significant. (1.02 has 3 sig figs) o Zeroes to the lef Now, if you write t = 1.32 s, you are implying that the '2' means something, that it is significant. You are implying a precision that you don't actually have. So, to avoid misleading the reader, you should retain only the two significant figures. Consequently, this should be written (as we say) to two significant figures, t = 1.3 s Drag is relatively small for a well-designed hull at low speeds, consistent with the answer to this example, where F D F D is less than 1/600th of the weight of the ship. In Newton's Laws of Motion , we discussed the normal force , which is a contact force that acts normal to the surface so that an object does not have an acceleration perpendicular to the surface

Worksheet Energy Units Conversions Answers | Kids Activities

Free idiom worksheets and tests for parents, teachers, and students. These worksheets can be edited, printed, or completed in any modern browser Example: you want to buy five magazines that cost $1.95 each. When you go to buy them the cost is $12.25. Is that right? five at $1.95 each is about 5 times 2, or about $10 so $12.25 seems too much! Ask to have the total checked This Sub Web Site has been Removed. We apologise for any inconvenience or disruption to your work. This sub web site is no longer available due to the web owner of this sub web site has departed from Victoria University For example, a fixed-point representation that has 5 decimal digits with the decimal point positioned after the third digit can represent the numbers 123.34, 12.23, 2.45, etc… whereas floating-point representation with 5 digit precision can represent 1.2345, 12345, 0.00012345, etc… Similarly, floating-point representation also allows calculations over a wide range of magnitudes.

This quiz is designed to test your reading comprehension and understanding of the Scientific Notation section of the Online Study Guide to Chemistry

Worksheet Significant Figures Examples With Answers - best

  1. An example of induction using a negatively charged object and an initially-uncharged conductor (for example, a metal ball on a plastic handle). (1) bring the negatively-charged object close to, but not touching, the conductor. Electrons on the conductor will be repelled from the area nearest the charged object. (2) connect the conductor to ground
  2. Significant Figure Rules for Multiplication and Division. In multiplication and division, the number of S.F. in the answer is the same as the number of S.F. in the input number that has the fewest. For example, consider Person 3's measurement of the wood. If you wanted to know the area of the wood you would use the formula Area = Length x Widt
  3. The 100 Most Significant Figures in History. 1 Jesus. 2 Napoleon. 3 Muhammad. 4 William Shakespeare. 5 Abraham Lincoln. 6 George Washington. 7 Adolf Hitler. 8 Aristotle. 9 Alexander the Great. 10 Thomas Jefferson. 11 Henry VIII of England. 12 Charles Darwin. 13 Elizabeth I of England. 14 Karl Marx. 15 Julius Caesar. 16 Queen Victoria. 17 Martin.
  4. e how many digits an answer should be left to. The answer cannot become more accurate than the data initially started with. 1) For multiplication and division: Express answer to the same number of significant figures as the least accurate number in the question 2) For addition and subtraction: Express answer to the same number of.
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1. all nonzero digits, 2. zeros between nonzero digits, 3. final zeros to the right of the decimal place, 4. zeros that are place holders are not sig figs. Click again to see term . Tap again to see term . Nice work Science: Significant Figures - Rules and Practice: What are significant digits? Significant digits indicate how much care was taken in making a measurement. They also indicate how much precision is available in the tool used to make a measurement. For example, the triple beam balance, when used correctly, will allow you to measure an object's mass to the hundredth of a gram Here are some examples of significant figure calculations: 7 has 1 significant figure (7). 73 has 2 significant figures (7 and 3). 100 has 1 significant figure (1). 673 has 3 significant figures (6, 7 and 3). 673.52 has 5 significant figures (6, 3, 7, 5 and 2) significant digits. 1. (Mathematics) the figures of a number that express a magnitude to a specified degree of accuracy, rounding up or down the final figure: 3.141 59 to four significant figures is 3.142. 2. (Mathematics) the number of such figures: 3.142 has four significant figures. Compare decimal place 2

Area of a triangle

Significant Figures : Rules

Answering Numerical Questions That Check Significant Figure

For example the number 1600000 is ambiguous as to the number of significant figures it contains, the same number written 1.600 X 10 6 obviously has four significant figures. Several Notes: 1) It is important to know the accuracy and precision of the measuring device one is using and it is important to report only those digits that have significance Significant Figures - Rounding and Estimating using Significant Figures (GCSE Maths 9-1) Subject: Mathematics. Age range: 14-16. Resource type: Lesson (complete) 4.6 22 reviews. www.weteachmaths.com. 4.609459459459461 761 reviews Mr. Kent's Chemistry Pages. This site contains information on significant figures for AP Chemistry, Regents Chemistry and Applied Chemistry at Seaford High School. The pages include calendars for each class, notes, homeworks, worksheets, movies, demonstrations and labs among other things Example: 29.20 has 4 significant figures. Example: 7.020 has 4 significant figures - Zero is usually not a significant digit if there is no decimal point. Example: 240 has 2 significant figures; Example: 1000 has 1 significant figure. One exception is when a zero is obtained by rounding. Example: 249.8 is rounded to 3 significant figures to.

Question: Express Your Answer To Three Significant Figures And Include Appropriate Units. The 1.25 In. - Diameter Bolt Hook Shown In The Figure Below (Figure 1) Is Subjected To The Load Of F = 110 Lb HA Example: round(3132,2,'significant') returns 3100, which is the closest number to 3132 that has 2 significant digits. Data Types: char | string t — Input duration duration arra A logical reasoning test measures your ability or aptitude to reason logically. Generally, logical reasoning tests measure non-verbal abilities. You must, through logical and abstract reasoning, extract rules, analogies and structures which you subsequently use to find a correct answer among a set of possible options Give your answer correct to 1 significant figure. Answer \[V = \pi {r^2}h\] \[= \pi \times {4^2} \times 10\] \[= 502.654...\] \[= 500\,c{m^3}(to\,1\,s.f.)\] Now try the example questions below.

Meet the 100 Most Significant Americans of All Time A new, special issue of Smithsonian magazine attempts the impossible: to list out the most significant people in United States histor Statistics; p-value ; What a p-value tells you about statistical significance What a p-value tells you about statistical significance. By Dr. Saul McLeod, published 2019. When you perform a statistical test a p-value helps you determine the significance of your results in relation to the null hypothesis.. The null hypothesis states that there is no relationship between the two variables being.

Example: Round 86 to the nearest 10. We want to keep the 8. The next digit is 6 which is 5 or more, so increase the 8 by 1 to 9. Answer: 90. (86 gets rounded up) So: when the first digit removed is 5 or more, increase the last digit remaining by 1 Examples of the Best Answers Here are some sample answers that you can use to help you prepare and practice your own response to this common job interview question. Note how most of these examples use the STAR interview response technique , in which an interviewee describes a S ituation, T ask, A ction, and R esult to explain how they responded to and learned from a workplace situation a mile. In the case of Example 1, we must multiply 2.45 miles by 1760 yards to arrive at the answer: 2.45 miles 1 × 1760 yards 1 mile = 4320 yards Most people would not be able to do this calculation in their head quickly. Example 2, however, is much easier to solve, as one only has to multiply 3.95 kilometers by 1000 meters: 3.95 kilometers 1 Answers are provided but not worked through. Math Goodies has a worksheet with some word problems having to do with dimensional analysis. Link to answer key in the box below the image of the worksheet. Alan's Chemistry page has some quizzes (take Quiz 4 or 5) that deal with dimensional analysis (and significant figures)

Significant Figure Rules, Other Rules, Examples and FA

(b) the perimeter of R, giving your answer to 3 significant figures, (4) (c) the area of R, giving your answer to 3 significant figures. (5) 8. Figure 2. The line with equation y = 3x + 20 cuts the curve with equation y = x2 + 6x + 10 at the points A and B, as shown in Figure 2. (a) Use algebra to find the coordinates of A and the coordinates. Examples of correct answers: Zero, small, negligible, much less than g, or <<g For a correct answer and attempt at a consistent justification 1 point For correct reasoning 1 point Example earning 1 point: Nearly zero. Because block A is much heavier than block B. Examples earning 2 points: Very small

Significant figures - Rounding and estimating - KS3 Maths

Mathematics Quiz: Test Your Knowledge About Significant

However different examples of responses will be provided at sf significant figures The answer is printed on the paper or ag- answer given Pearson Edexcel Level 3 Advanced GCE in Mathematics Answers should be given to three significant figures unless otherwise stated Answers is the place to go to get the answers you need and to ask the questions you wan

The p-value from our example, 0.014, indicates that we'd expect to see a meaningless (random) difference of 5% or more only about 14 times in 1000. If we are comfortable with that level of chance (something we must consider before running the test) then we declare the observed difference to be statistically significant Example: By creating better resources, I was able to help increase response time 60 percent and increase customer satisfaction rates by more than 25 percent year-over-year. Related: 125 Common Interview Questions and Answers (With Tips Give answers to an appropriate number of significant figures (see previous section). Giving too many significant figures is misleading, giving too few discards information. You can give answers in standard form in two ways: use a letter x as a times sign and ^ for to the power of ; or use e or E to mean times 10 to the power of Scientific notation is a smart way of writing huge whole numbers and too small decimal numbers. This page contains worksheets based on rewriting whole numbers or decimals in scientific notation and rewriting scientific notation form to standard form

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