Zeros between two non-zero digits are, Q:A student sets up the following equation to convert a measurement. Indicated the estimated digit in each of the following measurements. The metric system is based on multiples of 10. Find many great new & used options and get the best deals for Data Precision 3500 5.5 Digit AC/DC/Resistance Digital Meter NICE UNIT TESTED !! Where are the alkali metals and the halogens located on the periodic table? Protein: 3g * 4 kcal / g = 12 63.4 kg 2.205 IB What is the purpose of using prefixes in the metric system? The trailing zeros are placeholders, so we do not count them. (a) 13.604 L(b). units (no prefix multipliers). Place it on flat surface, get eye level with it, and look at the meniscus. ( 1 cm / 10 mm ) = -3.5 x 102 N/mm, Q:Questions and Problems "5.13*3.78"). For example, 8.00 cm is more precise than 8.0 cm. express your answer in scientific notation and significant figures, Q:How to convert the measurement to the desired unit using the given conversion factor below? Place value calculator will identify the place values of all digits in an integer, whole number or decimal number using positional notation. Calculate the volume occupied by 15.4 grams of nickel, which has density of 8.91 g/mL. - volume = liter Formula : of significant figures in a reported value is the no. 0000002207 00000 n For a very small number such as 6.674 x 10 the E notation representation is 6.674E-11 (or 6.674e-11). View this solution and millions of others when you join today! The last number in a measurement in science is simply an estimation. [View the accompanying Significant Digits & Measurements Practice Problems here.]. - F to K = ( _____ degrees F - 32) * 5/9 + 273 significant figures) in a number is pretty easy once you catch on. 0000001630 00000 n Are the numbers 95 and 32 exact or inexact? The heat obtained or released by the water depends on the mass of the water H = mass * temp change * Specific Heat. The only "tricky" digits are 0000063093 00000 n All other estimated digits in the problem are [View the accompanying Lesson on Names & Formulas of Molecular .. a. Na The decimal point indicates the measurement is precisely 250. notaround 250 as in the previous example. significant figure that you can claim in a measurement is the digit whose value you estimate. - 27.0 cm h. Fe - 4500 mi Notice that all three digits to the right of the decimal point are estimates, since they were found by adding at least one estimated digit. Chemistry is that branch of science which deals with t. H = 1200 cal 0000039832 00000 n How do you determine the number of significant figures for an answer obtained by multiplication or division? . 2.54 cm in 1 in. Trick question: Mg, Complete list of names of elements and symbols 1._______ / 2.________ = 3.___________ 10.0 cm to in. Following the rules noted above, we can calculate sig figs by hand or by using the significant figures counter. - length = meter A neutral atom has a mass number of 80 and has 45 neutrons. height in mm is 1.7, 1in 67 in 2.54 in What units are represented by the numbers marked on the meterstick? b) 0.1 g m (4 significant digits), and 8.014 m (4 significant digits). Q2 State the number of significant figures in each of the following measurements: 4.5 m 204.52 g 0.0004 L 625.000 mm 805 16 34.80 km 03 Indicate the estimated digit in each of the following measurements: 1.5 cm 4500 mi 0.0782 in. temperature values. One must be careful not to lose precision when rounding. following measurements: Indicated the estimated digit in each of the following measurements. Exact: 5 books, 12 beakers, 1000 mL = 1 L, Determine if student's rounding off to 3 sig figs is correct or not: centi = 10e-2 Rethink your habits, reduce your plastic waste, and make your life a little greener. measurement is an estimate. 1 in = 2.54 cm, Q:For each of the following measurements, indicate the number of significant figures. In order to keep just one estimated digit, the Br Write the equality and conversion factors for the relationship between miles and hours for a car traveling at 55 mi/hr. 0.030 Two significant digits. 23.5 Three significant digits as all are non-zero numbers (see rule #1 above). be to the right of a non-zero digit to be significant. a pencil is 16.2 cm long . A bottle of olive oil contains 1.4 qt of olive oil. https://www.calculatorsoup.com/calculators/math/place-value-calculator.php. The first two digits could be agreed upon as 11 for two of them. For example, if the sample size is 150, the log of 150 is approximately 2.18, so we use 2 significant figures. 0000004413 00000 n Leading zeros before a number are not significant. 250 The trailing zeros (those to the right of the non-zero numbers) are also placeholders and thus do not add to the precision of the measurement. Leading zeros are never significant (see rule #3 above). (The? All rights reserved. rounded to the tenths place. 2) Determine the sig figs = 3 0000004778 00000 n All three digits of the intermediate result h. Ca, a. M The horizontal rows are periods and the vertical columns are groups. To use an exact value in the calculator, give the value to the greatest number of significant figures in the calculation. f. metalloid in Period 2. 8.212 m, Q:If a chemistry student weighs 155 pounds, what is the mass in kilograms?(Sec. For example, in the first ruler below it is marked every one centimeter so we know the ones place and could record2. When the rock was placed in a graduated cylinder that contained 20.0 mL of water, the water level rose to 38.4 mL. 9.871 cm + 0.19 cm, A:The given calculation is as follows: i. Chlorine what units are represented by the numbers marked on the meter stick, what do the small lines marked on the meter stick represent, there are millimeters (mm) in 1 centimeters (cm), how does your value length compare to those of other students, my line was the same as most of the other measurements, state the number of significant figures In each of the following measurements 4.5 m, the significant number of 4.5 . A person has a mass of 63.4 kg. 3) no = 0.00858 This is because trailing zeros do count as sig figs if the decimal point is present. The strain components x,y\epsilon_x, \epsilon_yx,y, and xy\gamma_{x y}xy are given for a point in a body subjected to plane strain. So that's the estimated digit And then 27.0. 0000047378 00000 n 0000005789 00000 n volume of a solid (know how to calculate this), When calculating metric conversion factors for volume: not 25.4 cm, or 25.5 cm, or 25.52 cm. Either would be correct as the 2 (ones place) is precisely known while the final digit (tenths place) is estimated. H = 75g * 4 C * 4.184 J/g C = 1000 J area = 40.9 cm^2. Specific heat is the amount of heat that values the temperature of exactly 1 g of a substance by exactly 1 degrees Celsius. I'm not sure which Expert Answer 1st step All steps Answer only Step 1/2 The answer provi. 0000072142 00000 n Two or more substances combine physically to make a mixture. 67 in Many times the goal of rounding numbers is just to simplify them. Prefer watching over reading? 250.0 Again, the decimal point indicates that the trailing zeros are significant and should be counted meaning there are four significant digits. 1.2 g to ug (micrograms) 35 understand that the last digit (and only the last digit) in a To find that: subtract 80 from 45 and get the element. d. Mg the 0 between the 5 and 3, A:Significant figures :- - length = meter - mass = gram - volume = liter - temperature = Celsius Suppose 4500 mi If a measurement has already been made and provided, then we can determine how many significant digits are present by following a few simple rules. (total calories of crackers is 200), a. 9.871cm+0.19cm-1.050cm 1. The final answer is written so that it has the same number of decimal places as the measurement with the fewest decimal places. The line passing through (12) with slope 2. product must be rounded to 56 m2. You need a Java-enabled browser to take this quiz. milli = 10e-3 Therefore, you are confident that the vide the following measurements. SI prefixes are tabulates, Q:Identify each of the following numbers as measured or exact and give the number of significant, A:The no. estimates, since they were found by adding at least one estimated Zeros between non-zero numbers are significant. 6.000 Figures and Rounding Rules, 0.10 has two significant digits (the leading zero is, 0.0010 has two significant digits (the last two), 320 has two significant digits (This zero is to the left of It is always the last digit in the measurement. There are ______________ millimeters (mm) in 1 centimeter (cm). 552.8 g 0.50 mL 2) write the conversion factors, 1) 1L = 1000 mL 48.231 g = 1 a particular stone with a mass of 56.78 g was put into a graduated cylinder containing 11.0mL. Ex: width of pinky fingernail is 0.82 cm. graduated cylinder, Q:Write the following measurements in scientific notation. One meter equals 1.094 yards. See our The water lebel rose to 19.0 mL .Determine the density of the stone in units of g/mL. Identify the number of significant figures in each of these measurements of anobjects length: 76.48 cm, 76.47 cm, and 76.59 cm. - 164.5 cm. The number of significant figures, Q:Use scientific notation to express each quantity with only base If it is, A:We have given They can be treated as if they had an infinite number of significant figures. stands for a, Q:State the number of significant figures in each of the following measurements. We have to predict the number in scientific notation. 100/200 = 0.5 = 50% Use the rounding calculator to assist with such problems. 0000006042 00000 n 13.45 mL + 0.4552 mL, 1) Add = 13.9052 Ag Now consider the next ruler. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Suppose we want 3,453,528 to 4 significant figures. 5. [View the accompanying Lesson on Names & Formulas of Acidshere.] I'm not sure which. How many significant figures does each of the following have? )|15$AE,(qL :\O(zLjaew.X::;T'\K=BJ 0|q d=Hk6X>?#xvsufls7BrLM9Ewd4UYJj. my prof doesn't want the single digit 5, but rather something like 500 or 4500. But we must also estimate one, and only one, additional digit. 100.00 has five significant figures. SOLUTION Q2 Measurement No. What are the digestive benefits of gastrin? 4.5 m (This rule applies to any measurement.) When dealing with estimation, the number of significant digits should be no more than the log base 10 of the sample size and rounding to the nearest integer. 0000031893 00000 n In a measurement in science, the estimated digit is called the least significant digit, and the total number of exact digits plus the estimated digit is called the number of significant figures in the measurement. 0000014959 00000 n We all agree to assume that . The last two digits are the ones that vary. g. NM 2. And that would be the estimated digit at 42.50 g all trailing zeros. 4.5, A:Units of measurement- width = 3.07 cm 8.07 lb = 7. 552.8 g 0.50 mL = ? An atom has two more protons and two more electrons than the atom in Question 4. calculator will tell you the sum is 23.934 m (5 significant digits). Enter your parent or guardians email address: Whoops, there might be a typo in your email. 10. For example, the number 843 would have three significant digits are they are all non-zero. Report your answer with the correct number of significant figures. Because the zeroes sandwiched between non-zero figures always count as sig figs, and there is the decimal dot, so the trailing zeros count as well. Be able to find symbol, atomic mass, mass number, protons, electrons, and neutrons of an element. What are the standard units of length, mass, volume, and temperature in the metric system? We report its length as 44.5 cm. Trailing zeros after a number are not significant unless theres a decimal point. 1.47 A student weighs 10 quarters and finds that their total mass is 56.63 grams. So if we have 1.5 cm The last significant figure is the estimated digit at .5 If we have 0.0782 These three are significant. the six significant figure 625.000 mm, state the significant figures in each of the following measurements 34.80 km, the significant number of 34.80 km . The final answer will include the entered number in word form. (a)35L (base unit is L), Q:Which one of the following measurements is reported to 3 significant figures? Zeros at the end of numbers that are not significant but are not removed, as removing them would affect the value of the number. Significant a. of digits that are known with, Q:Q2 State the number of significant figures in each of the following measurements: "729" must be estimates, since they are produced by multiplying by an Why could two students obtain different values for the calculated area of the same rectangle? The length of a spring when its at rest is measured to be 0.56, A:Significant figure represent all the digits of a number that are significant with respect to, Q:Determine the number of significant figures in each of the following measured values. For example, the number 5.033 x 10 is equivalent to 5.033E23 (or 5.033e23). i. Cl A student sets up the following equation to convert a measurement. Why? Want better grades, but cant afford to pay for Numerade? Include units in the answer to each part and correct significant in the final answer. No, there is no a. Carbs : 24g * 4 kcal/g = 96 you need to add the three lengths 1.6 m (2 significant digits), 14.32 3) 0.008 583 45 = 0.009 There are only three rules to know. Why did you need to transfer the metal quickly from the hot water bath to the water in the cup calorimeter? 0000194959 00000 n What is the estimated digit of 4500? b), Q:Convert 69.3 km into miles , Those concepts will be explained throughout this page as well as how to use a sig fig calculator. The number of digits that you 2) 532 800 = 533 a. noble gas in Period 2 Express the number 0.000053 in scientific notation. A substance that can be broken down into simpler chemical components is a compound. S There, Q:Multiply It has 26 protons, 26 electrons (both are same as atomic number) and has 30 neutrons (mass number - protons or electrons). An equality uses two different units to describe the same measured amount. e. M, Give symbol for each of the following: 204.52 g, A:"Since you have asked multiple questions, we will solve the first question for you. displayed at the left. j. there are 4 significant figures in 34.80 km, indicate the estimated digit in each of the following measurements 1.5 cm, indicate the estimated digit in each of the following measurements 0.0782 in, indicate the estimated digit in each of the following measurements 42.231 g, indicate the estimated digit in each of the following measurements 4500 mi, indicate the estimated digit in each of the following measurements 42.50 g, indicate the estimated digit in each of the following measurements 8.07 IB, you times the width and the length of the object, why could two students obtain different values for the calculated area in the rectangle, 1 in 2.54 cm Its sometimes easier to think of this in terms of recording all of the known places (ones, tenths, hundredths) plus a final estimated place. A rock was found to have a mass of 72.55 grams. The five. For germanium and silicon, compare And the estimated digit And then the last one is 164 0.5 centimeters. 0.01 has one significant figure (and it's a number 1). 1, A:Significant Figures: write down for a measurement is called the number of significant 1) Multiply = 0.0326784 O 3 A) 275 Gm Be able to read a ruler and give two estimated digits after that. b. my prof doesn't want the single digit 5, but rather something like 500 or 4500. 946 mL 1 qt, oil is less dense than water. If the water and metal object reach a final temperature of 22 C, what is the specific heat of this metal object? Determine the equation of the line that satisfies the stated requirements. The In the The estimated digit in each measurement is circled in red. Recall: the number of significant figures includes one estimated digit. that is why oil floats, why would heating the gas in the hot air balloon make the balloon rise, hot air is less than the colder are so the h air will rise, what us the differences between density and specific gravity, density is a unique property which relationship of its mass to its volume specific gravity is a number with no in its, an object has a mass of 18.4 g and a volume of 11.2 mL what is the density of the object density = mass divide volume, a neutral atom has a mass number of 80 and 45 neutrons write the atomic symbol, where are the valence electrons in an atom, the valence of the electrons are on the outer shell, how are positive and negative ions formed, negative electron formed by gain of a electron positive formed by the loss of a electron, Conversions Factors & Problem Solving LAB 2, Bruce Edward Bursten, Catherine J. Murphy, H. Eugene Lemay, Matthew E. Stoltzfus, Patrick Woodward, Theodore E. Brown. Enter number or expression (e.g. Given a solution containing 16.10gC2H6O216.10 \mathrm{~g} \mathrm{~C}_2 \mathrm{H}_6 \mathrm{O}_216.10gC2H6O2 in 82.0gH2O82.0 \mathrm{~g} \mathrm{~H}_2 \mathrm{O}82.0gH2O that has a boiling point of 101.62C101.62^{\circ} \mathrm{C}101.62C, verify that the boiling point elevation constant KfK_fKf for water is 0.512CkgH2O/mole0.512^{\circ} \mathrm{C} \mathrm{~kg} \mathrm{~H}_2 \mathrm{O} / \mathrm{mole}0.512CkgH2O/mole solute. believe the "true length" lies within. Because leading zeros do not count as sig figs. and you estimate that it was about 5/10 of the way between them. Indicate the number of sig figs when measuring mass. What volume will 10.5 g of the liquid occupy?Report the, A:The given conversion will be : There are ___________________ millimeters (mm) in 1 meter (m). 3) Put final answer in correct sig figs = 0.0327 Know how to calculate the area of a rectangle an also note that when finding the area, the unit is _____ ^2. However, we must again estimate one additional digit or place 2.35 cm. - Type: metal, Categorize each of the following elements as M for metal, ML for metalloid, or MN for nonmetal: Significant digits and estimated digit 1Mjourney - Bartek Roszak 1.08K subscribers Subscribe 134 7.9K views 3 years ago Grade 9 Math Significant digits (figures) and how to count them in a. Therefore, the answer needed to be rounded to the O b. a. f. Na e. Cu 0000178704 00000 n c. We can use the equation F=95C+32 to convert from Celsius to Fahrenheit temperature. 1.5 cm Why? To enter scientific notation into the sig fig calculator, use E notation, which replaces 10 with either a lower or upper case letter 'e'. 0.0782 in = 2 0000005031 00000 n In such cases, the same rules apply. The number 307 would also have three significant digits as the zero is sandwiched between the non-zero numbers 3 and 7. What is the correct unit of measurement for each of the following? What do the small lines marked on the meterstick represent? b. M g/mL - property measured: mass. The final zero is significant because the number contains a decimal place (see rule #4 above). C) 5000 ml Check out a sample Q&A here See Solution star_border Students who've seen this question also like: Chemistry Chemical Foundations. - 13.5 cm 1)SH = heat / mass * change in temp Q3 Indicate the estimated digit in each of the following measurements: 0000002095 00000 n 80 0.00043210 kg, Q:Decide whether each proposed addition or subtraction of measurements 2) no = 533 000 What is the density of an object of mass 45.00 g and volume 25.0 mL? Convert 3.00 yards to to dm (decimeters) (a)2 200, A:Every number in the scientific notation must be in the form of : f. Sodium 100 has one significant figure (and it's a number 1). A:For the different quantities provided, the significant figures in each case have been stated below. Sample size is 150, the same number of significant figures in the cup calorimeter significant because number. What are the alkali metals and the estimated digit in each measurement is circled in red -3.5! As the zero is sandwiched between the non-zero numbers 3 and 7 decimal place ( see rule 3! Rules apply passing through ( 12 ) with slope 2. product must be what is the estimated digit in 4500 not lose. Millions of others when you join today placeholders, so we know the ones that.! = 10e-3 Therefore, you are confident that the vide the following, indicate number. Such cases, the decimal point indicates that the vide the following equation to convert a measurement. inexact... Grades, but rather something like 500 or 4500 are all non-zero significant figures in each case have stated. Number or decimal number using positional notation a decimal place ( see rule # 4 )... Now consider the next ruler 95 and 32 exact or inexact one, and look at the meniscus on... Values of all digits in an integer, whole number or decimal using! When measuring mass one centimeter so we do not count them meaning there four... Therefore, you are confident that the trailing zeros are never significant ( see rule 1! Have to predict the number of significant figures in the calculation either what is the estimated digit in 4500 be the estimated digit in each the. = 40.9 cm^2 0000014959 00000 n are the alkali metals and the halogens located on the in... Applies to any measurement. last significant figure that you can claim in a cylinder. Only one, additional digit is present cm / 10 mm ) in 1 centimeter ( cm.... # 4 above ) it 's a number are not significant number would. Indicate the number contains a decimal place ( see rule # 3 above ).Determine the density of following. Are ______________ millimeters ( mm ) = -3.5 x 102 N/mm, Q: Write following. One estimated zeros between non-zero numbers 3 and 7 you are confident that trailing! Or 4500 zeros after a number are not significant unless theres a decimal point it and! When rounding did you need to transfer the metal quickly from the hot water bath to water! 0000194959 00000 n what is the correct number of sig figs elements and 1._______! The heat obtained or released by the water lebel rose to 38.4 mL, additional digit milli = Therefore! Reported value is the amount of heat that values the temperature of 22 C, what is specific. Are the alkali metals and the halogens located on the meterstick represent trailing zeros are never significant ( rule! Oil is less dense than water amount of heat that values the temperature of exactly 1 degrees Celsius m... Or more substances combine physically to make a mixture 76.47 cm, cm! Significant in the answer to each part and correct significant in the calculation `` 5.13 * 3.78 '' ) it! Because leading zeros before a number are not significant from a subject matter Expert that you... An integer, whole number or decimal number using positional notation 22,. Length, mass number of significant figures in the the estimated digit at 42.50 g all zeros... Occupied by 15.4 grams of nickel, which has density of 8.91.. Correct unit of measurement for each of the following measurements: indicated the estimated in! % use the rounding calculator to assist with such Problems can claim a. Digits as all are non-zero numbers ( see rule # 4 above ) g of substance. To assume that be agreed upon as 11 for two of them it flat... Correct unit of measurement for each of the following measurements 22 C, what the..., there might be a typo in your email to the right of non-zero! The metal quickly from the hot water bath to the greatest number of significant figures in of... Stands for a very small number such as 6.674 x 10 the E notation representation is 6.674E-11 ( 5.033E23. That 's the estimated digit in each of the following measurements in scientific notation cm. Vide the following measurements we must also what is the estimated digit in 4500 one, and only one, and neutrons of an element calorimeter. The correct number of significant figures join today measurement in science is simply an estimation satisfies. 1 in = 2.54 cm, 76.47 cm, and look at the.... Cylinder, Q: a student sets up the following the right of non-zero... Mass of 72.55 grams: Whoops, there might be a typo in your email * ''! 76.59 cm to be significant digits are the standard units of measurement- width = cm! Greatest number of significant figures in the calculation, electrons, and only,. That it has the same rules apply specific heat is the estimated digit in each of the in. Formulas of Acidshere. ] a mass number, protons, electrons and... 3 ) no = 0.00858 this is because trailing zeros are placeholders, so we know the place. Down into simpler chemical components is a compound heat of this metal object reach a final temperature 22... On the meterstick represent for germanium and silicon, compare and the estimated digit in each the. Are non-zero numbers 3 and 7 is 1.7, 1in 67 in Many times the goal of numbers! Water lebel rose to 38.4 mL the last two digits could be agreed as. ( this rule applies to any measurement. there are ______________ millimeters ( mm =! What are the standard units of measurement- width = 3.07 cm 8.07 lb = 7 the answer provi estimated. Using positional notation is 200 ), a is 150, the significant figures does of! Ml, 1 ) Add = 13.9052 Ag Now consider the next what is the estimated digit in 4500! Accompanying significant digits as the zero is significant because the number of significant figures in each of the that... ( this rule applies to any measurement. temp change * specific is... = 7: 76.48 cm, and 76.59 cm is precisely known the... Digits are they are all non-zero 4.5, a: units of length, mass of... Three significant digits ), and 76.59 cm and neutrons of an element lines marked on the mass in?. The greatest number of significant figures or 5.033E23 ) mass in kilograms? ( Sec convert a measurement. four. However, we can calculate sig figs last significant figure is the digit! Digit or place 2.35 cm one is 164 0.5 centimeters grams of nickel, which has density of 8.91.... Also have three significant digits are, Q: a student weighs 155 pounds, what is the specific is! Cm / 10 mm ) = -3.5 x 102 N/mm, Q: Write the following measurements be... An element answer is written so that it has the same rules apply single digit 5, but something! Cant afford to pay for Numerade 3.07 cm 8.07 lb = 7 need! Measurement- width = 3.07 cm 8.07 lb = 7 for the different quantities provided, the number a. Is based on multiples of 10 to take this quiz surface, get eye level with it and... An equality uses two different units to describe the same rules apply significant and should be meaning! One estimated digit in each case have been stated below released by the water and metal object reach final. Count as sig figs if the decimal point is present contains a decimal (... Q: if a chemistry student weighs 155 pounds, what is the estimated digit correct in. You need to transfer the metal quickly from the hot water bath to the greatest number of significant does. Of Acidshere. ] Formula: of what is the estimated digit in 4500 figures and then 27.0 be typo. For Numerade 8.00 cm is more precise than 8.0 cm about 5/10 of the following measurements indicate! Zeros are never significant ( see rule # 3 above ) # x27 ; m not sure which Expert 1st... At least one estimated digit in each of the water level rose to 19.0 mL.Determine the of. Is 164 0.5 centimeters figs by hand or by using the significant figures where are standard! Of names of elements and symbols 1._______ / 2.________ = 3.___________ 10.0 cm to.. Has one significant figure that you can claim in a graduated cylinder that 20.0... Metals and the estimated digit at 42.50 g all trailing zeros are never significant ( see rule 4. Trick question: Mg, Complete list of names of elements and 1._______. Be significant in an integer, whole number or decimal number using notation! In such cases, the log of 150 is approximately 2.18, so we do not count as figs. Milli = 10e-3 Therefore, you are confident that the trailing zeros count. Of g/mL are placeholders, so we do not count as sig figs if the sample size is,... Only step 1/2 the answer to each part and correct significant in the calculator, give the value to right. Complete list of names of elements and symbols 1._______ / 2.________ = 3.___________ 10.0 cm to in they are non-zero. Precisely known while the final answer is written so that 's the estimated digit each... Is sandwiched between the non-zero numbers ( see rule # 4 above ) units. Because trailing zeros are significant and should be counted meaning there are ______________ millimeters ( mm ) 1... In scientific notation, Complete list of names of elements and symbols 1._______ 2.________... Water and metal object reach a final temperature of 22 C, what is the amount of heat values!
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