Step 2: Now click the button "Solve" to get the answer. We simply round the entire number to the nearest thousand, giving us 3,454,000. Since we are talking about basic arithmetic operations, how about checking our distributive property calculator to learn how to handle complex mathematical problems that involve more than one arithmetic operation? The first significant figure represents thousands, so we must add three zeros to make it the correct size. 113 contains 3 significant figures. on the measuring tool in use determines how accurate it can measure. Enter numbers, scientific notation or e notation. If you use this calculator for the calculation and you enter only "2" for the multiplier constant, the calculator will read the 2 as one significant figure. A word problem on a physics test goes like this: Marine scientists have identified a unique whale who calls at 52 hertz. To round off the given number into 6 significant digits, we need to round it off to 2 places after the decimal. 1.55 has two significant figures in the decimal part, while 3.2 has one - the answer must also therefore only have one. shot. Thus, we can have an extra significant digit, because the ruler is more detailed and allows for more Therefore 69.28 is written as 69.3 to 3 sf. Add, subtract, multiply and divide with significant figures. Enter the numbers and the value you want to round the number to and click calculate. What if a number is in scientific notation? Q. Understand several mathematical concepts that you feel daunting from Roundingcalculator.guru and understand them clearly in All trailing zeros that are placeholders are not significant. 1. For example, 0.013 has 2 significant figures, and 0.00042 also has 2 significant figures. Includes times for quarter and half-boiled eggs. For comparison the same number is rounded from 0 to 6 decimal places. So, we round 2.6 to 3 since the last digit $6 \gt 5$. Significant digits in math convey the value of a number with accuracy. Use the rounding calculator to assist with such problems. We will round it to 0.0458 since the last digit, 2, is less than 5. In modern times, significant digits are used for measurements and accuracy. When making a measurement, you should be honest about how much resective value you have, so that the measurement appears to be more accurate than the equipment used to make it. (4) Zeros on the right of a decimal point are significant, provided there is no non-zero digit after them. Why? The answer is . Significant digits are used extensively during measurements. a. 113.0973355 contains 10 significant figures and 7 decimals. This is the digit which is two digits after the most significant digit. . Significant figures are the meaningful digits in the number. Lets practice all these rules with some more examples. Take a look at the number 3.14159, You can say that this number has 6 significant digits. Remember to round up the last significant figure if necessary. 100.00 has five significant figures. Enter a number or a mathematical expression to calculate the number of sig figs and decimals in the the answer. Question 2: Round 0.008635 to 3 significant figures. We know that sound travels in air at about 343 meters per second. Rounding to two significant figures yields an implied uncertainty of 1/16 or 6%, three times greater than that in the least-precisely known factor. Best Match Video Recommendation: Solved by verified expert Nick Johnson. The following table shows how to round 234.236 to different numbers of significant figures. The value left behind is your rounded value. Example: Add 3.240 inches and 8.12 inches. Sig figs are all the digits that are additional to the magnitude of a number. Example inputs are 3500, 35.0056, 3.5 x 10^3 and 3.5e3. Significant Figures Calculator. https://www.calculatorsoup.com/calculators/math/significant-figures.php, Zeros in between non-zero digits are always significant, Trailing zeros are only significant if the number contains a decimal point, Find the place position of the last significant digit in the least certain number, Add and/or subtract the numbers in your calculation as you normally would, Round the answer to the place position of least significance that you found in step 1, For each number in your calculation find the number of significant figures, Multiply and/or divide the numbers in your calculation as you normally would, Round the answer to the fewest number of significant figures that you found in step 1, \( \lambda = \dfrac{343 \times 4.3148688}{52} \). For this reason, there was a need to develop rules for rounding off numbers and measurements. For example, if we have a ruler that only measures centimeters, we can measure to one-hundredth of a meter. You may hear of all kinds of rules to roun. When a number is rounded to two significant figures, the digits to the right of the second digit are removed. The below-listed are rules for rounding numbers to mentioned significant figures.if(typeof ez_ad_units!='undefined'){ez_ad_units.push([[250,250],'roundingcalculator_guru-banner-1','ezslot_10',105,'0','0'])};__ez_fad_position('div-gpt-ad-roundingcalculator_guru-banner-1-0'); Below provided is the step by step process to round to 3 significant figures. Multiplying Significant Figures Calculator Following is the table in which you can find how many significant figures are in the given number, no. water = 9.063 oz. of water to make a 2 oz. All the digits that are different from zero are always significant. Trailing zeros are not significant if the number does not have a decimal point. The number of significant figures in the given number are 4, they are 8, 6, 3, 5, The next number of 3rd significant figure is 5 which is equal to 5. We're dedicated to building a creative and educational environment while creating memories worth repeating through food, traditions, and community. If, however, you do mixed calculations - addition/subtraction, Exact values, including defined numbers such as conversion factors and 'pure' numbers, don't affect the accuracy of the calculation. 2.303) then the zero is significant, in line with rule (2) explained above. Step 1: Round 27.678 to two significant figures. Rounding it to 2 significant digits m akes it 0.00038. The more significant figures are in a number, the more accurate the measurement is. Always check for the non-zero digit if rounding to one significant figure. \( v \) = velocity, at meters per second Q. Enter the number that you wish to have formatted with significant figures and the calculator will display the formatted version in the box to the left. Often you may want to round a value to a certain number of significant figures in Excel. 2.736 has 4 significant figures. controlling the number of digits, or significant figures, used to report the measurement. 1234.5678 round to 2 decimal places would be 1234.57; 1234.5678 round to 2 significant figures would be 1200. If it is less than 5 - round down by keeping the previous digit the same. It applies all the rules to round to significant figures. To practice identifying significant figures in numbers see our Rounding Significant Figures Calculator. Rounding errors would often affect the accuracy of mathematical and scientific calculations. espresso shot -- the other 0.5 oz. Rounds down when the next digit is lesser than 5 and rounds up when the next digit is greater than or equal to 5. Round 536.2450 to 4 significant figures. As 6 is more than 5, we round up. Here are some fun facts aboutsignificant figures: Once youve learned the rules, you can easily count the significant figures in a number. Any zeros that are in between 2 non-zero digits are significant. In this example you would want to enter 2.00 for the multiplier constant so that it has the same number of significant figures as the radius entry. I'll drop everything after the decimal point. (a) Add 1.0023 g and 4.383 g. (b) Subtract 421.23 g from 486 g. Solution (a) Answer is 5.385 g (round to the thousandths place; three . Calculate the mean of the following data set: (12, 14, 13, 12, 17, 10). If a number only has Cite this content, page or calculator as: Furey, Edward "Significant Figures Calculator" at https://www.calculatorsoup.com/calculators/math/significant-figures.php from CalculatorSoup, numbers when we combine both rules then we will get the correct answer which is 4. The original number has 3 significant digits. You can use this calculator to double check your own calculations using significant figures. 3.006 x 100.5 c. 5.67-2 4. Enter a Number or expression e.g. To round off a number to N significant figures, the following rules apply: 1. milk plus 0.063 oz. Find the least number of significant digits in any of the numbers. When reporting operations involving significant figures, the answer is reported in such a way that it reflects the least precise operations reliability. Rounding Decimals to the Nearest Calculatorful also provides some related calculators that you may also be interested in Significant figure calculator | Significant figures counter. a. Because the 1 is followed by a 4, I won't round the 4 up. How to round 0.78900 to 2 significant figures? If a whole number has no decimal point, its trailing zeros are not significant. Calculate how many significant figures (sig figs) a given number has! Since both numbers from the question only had 2 significant figures each, the solution can only have 2 significant figures. Otherwise, the previous As a result, 78.5 rounds are fired on two sig figs, 78 and 80 rounds are fired on three sig figs, and two sig figs are fired on three sig figs. Four! Rounds down when the next digit Adding 1 to the 3, gives us 4. This number will be the rounding number. If the number following the rounding number is 5 or higher, you will round the rounding number up by 1. The calculator does the math and rounds the answer to the correct number of significant figures (sig figs). I have two significant figures over here. In the process of rounding leading zeroes are 3782 has 4 significant digits; 0.04637 has 4 significant digits; 195.87 has 5 significant digits; So, now that you already know what significant digits are, then it is time to learn how you can round numbers to significant digits. 100.10 has five significant figures, that is, all its figures are significant. Subtracting Significant Figures Calculator Final or trailing zeros are significant. Example: Evaluate 3.257 + 27.34 +82.1. 4 x 10 3 has 1 significant figure. If the second digit is 5 or higher, the first digit is increased by 1. The number of significant figures is still determined by the accuracy of the initial speed value in m/s - for example, 15.23 * 3.6 = 54.83. So now back to the example posed in the Rounding Tutorial: Round 1000.3 to four significant figures. Significant Figures Calculator Given that the sound of speed travels 4.3148688 times faster in water than in air, what is the wavelength of the 52 Hz whale call? Firstly, look at the first non-zero digit if you are rounding to one significant figure. Follow these guidelines to (3) Zeros on the right of a decimal point and before (or to the left of) the first non-zero digit are not significant. 113.6 rounded to 3 sig figs is 114, to 2 sig figs is 110, and to 1 sig figs is 100. So in water, one wavelength of a 52 Hz whale call is 28 meters long. The maximum number of significant digits allowed is two if the number is only composed of two significant digits. 8 1 58 is rounded up to 8200 when written to 2 significant figures. If the second digit is greater than or equal to 5 add 1 to calculate rounding to nearest tenth. So this calculator only allows a rounding number equal to or less than the amount of . The following are examples of significant figures and rounding learning objectives: measurements whose values are unknown. All rights reserved, Delicious Fig Pudding Recipes To Try This Holiday Season, The Fig Tree: A Deciduous Tree That Is Native To The Mediterranean Region, How To Determine The Aperture Used In A Photograph, Fig In Ib The Ultimate Digital Product Development Tool, A Fig Newton Of Your Imagination: Use Your Creativity To Make Something New, The Stages Of Squamous Cell Carcinoma Of The Cervix. Significant figuresare helpful in real life because they allow for more accurate results in calculations, especially in sciences, applied mathematics, or technical fields. 3 sig figs round to 3 sig figs Ignore everything beyond the third significant figure, that is, the 4. 134.9 rounded to 1 significant digit is 100. as the next digit (3) is less than 5. If the second digit is 4 or lower, the first digit is left unchanged. You have to replace the three digits after the comma with zeroes. 5. When the digit is exactly 5, the number is rounded either up or down. * practise how to round numbers to the nearest place value, correct to decimal places and correct to certain numbers of significant figures. They refer to the reliable digits in the given number, which are sufficient to convey accurate information. Rounds when required, after parentheses, and on the final step. If the decimal portion of a number complain trailing zeros or final zero, then it is significant. Advertisement. When it comes to rounding to a number of significant figures, this sig figs calculator applies the common rules for rounding numbers, that is: rounding down (leave the last digit you want to keep the same) if the digit to its right is less than 5. rounding up (increase the last digit you want to keep by 1) if the digit to its right is 5 or more. To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same. This sig fig counter counts the significant digitsor simply rounds a digit to the desired number of a significant figure. If a power is expressed in numbers (as indicated by numbers ten), you must keep the same figures. You make your espresso and see that you've pulled the perfect 2 oz. However, it can be said that its height is 9,000 m (29,000 ft), a number with only one significant figure (two significant figures for 29,000 ft), which remarkably reduces the impression of this measurement accuracy, and now the height of Mt. For example, a ruler with marks on each inch, but nothing more, would not be accurate enough to determine half inches or quarter inches. c) 0.1352 to 3 significant figures - 0.135 d) 2.051 to 2 significant figures - 2.1. e) 2.0050 to 3 significant figures - 2.00 (when last digit to round is exactly 5, or 5000., you round up or down depending on whether the next digit to the left is even or odd) 5. Example: How many significant figures are there in 0.04582? When the first non-significant digit exceeds five, the least significant digit is multiplied by one. A number with 0 significant digits would be 0. To count the number of sig figs in 113.6, count all 4 digits since it has no insignificant digits (all digits are significant). They are considered substantial figures that contribute to the precision of a number. A step in your "Let's Make a Latte" chemistry lab assignment requires that you account for the volume of fluids in your latte. Adding scientific notation can be very easy or very tricky, depending on the situation. All non-zero numbers are always significant. remains in the espresso puck. The above are some general rules which help us to count how many sig fig in a number. There is only one sig fig number in 100 and it is 1. The length, breadth and thickness of a rectangular sheet of metal are 2.324m, 2.005m . The typical definition of it is that it is the number of numerals in a measured quantity that are known exactly, plus one more whose value could be one more or one less. To count the number of sig figs in 113.0973355, count all 10 digits since it has no insignificant digits (all digits are significant). If we now change the ruler 1.239 rounded to 3 significant digits is 1.24. as the next digit (9) is 5 or more. Simply enter the number, significant figures in the input fields of the calculator and then click on the The answer to this question is 0.79. Question 13. Being that electronics, like any other science, deals with measurements, knowing how to round to a given number of significant figures may be important. You only need to: This website is responsive, user friendly and provides calculators that suit every calculational needs in every subject and domain such as maths, finance, physics, sports, food, health, and many others. in the second text box, and clicks the 'Calculate' button. All digits of the given number are significant, because 10.0 has 3 sig fig digits and 1 decimal number. They have defined values. So, 1 is the only sig fig number. Question: 2. If two significant digits contain one or more than one zeros, then that numbers are significant. To use this calculator, a user simply enters in a number into the first text box and then the number of significant digits s/he would like to round that number to You can use any calculator for free without any limits. We need to keep 2 digits after the decimal points. 23.43 * 21.3 / log (32) * 10^ (21) Enter any number and the calculator will adjust the significant figures. If the number doesnt have enough significant figures, add zeros the right end of the decimal. Scientific notation may be used for large results or if the number of . If x > or equal to 5, add 1 to the last significant digit. Finally, your high tech milk steamer tells you how much water is used in the steaming process, out to 3 decimal places. 3. So, add 1 to the 3rd For example, 4500 would have two significant digits. 0.04 g/cm 3. and get one which measures millimeters, we can measure to one-thousandth of a meter. Description. Check for the digit after the first non-zero digit if two rounding to 2 significant figures. one hundred thirteen point zero nine seven three three five five. Those concepts will be explained throughout this page as well as how to use a sig fig calculator. Rule 4: Trailing zeros are significant when the whole number contains a decimal point. Given that 5.3062. The original number has 5 signifiant digits. Similarly, the number 8.25 rounded off to two significant figures is 8.2, while on the other hand the number 8.35 rounded off to two significant figures becomes 8.4 since the preceding digit is odd. To practice identifying significant figures in numbers see our find the answer effortlessly. The given number is described in four major ways. down, one or some of the significant figures are altered. The next digit after 3 significant figures place is 9. How to round a number to a significant figure? If the digit is lower than 5, the number is rounded off to the lower number. Using the proper number of Answer (1 of 3): If your rounding method is "5 or above," find the left-most non-zero digit ( the first digit ), if the third digit is 5,6,7,8 or 9, add 1 to the quantity represented by the first two digits, then pad the rest of the number with enough zeros to show the placement of the decimal in. Round off the number 3259757 to 1 significant figure. This is a good illustration of how rounding can lead to the loss of information. You only need to input the number that you want to round and tell us how many sig figs you want to round to and let Calculatorfuls significant figures calculator can take care of the rest. The digit in thousandth place 6 is greater than 5. How to round 0.0048091 to 3 significant figures? To round to "so many" significant digits, count digits from left to right, and then round off from there. How many sig figs in 3,000,000? Question 1: Round 853 to 2 significant figures.if(typeof ez_ad_units!='undefined'){ez_ad_units.push([[250,250],'roundingcalculator_guru-large-leaderboard-2','ezslot_15',106,'0','0'])};__ez_fad_position('div-gpt-ad-roundingcalculator_guru-large-leaderboard-2-0'); The number of significant figures in the given number are 3 and they are 8, 5, 3, Second significant figure in given number is 5. (Had the value in the ones place been a zero, I'd have . Therefore, 1384.977 kg = 1384.98 kg rounded off to 6 significant figures. It'll help you to understand the solution of results ofSsgnificant figures calculator. Chemistry in the Community; Kendall-Hunt: Dubuque, IA 1988. so that the resulant value does not appear to be more accurate than the equipment used to make the measurement allows. The bellow table shows how to find significant figures with examples. Step 1: Locate and underline the tens place ( 1) then look at the digit to the right ( 3 ): 113. Adding Significant Figures Calculator So for this example, you would enter 15.23 * 3.600 into the calculator. Leading zeros are not significant. The coffee kick calculator will tell you when and how much caffeine you need to stay alert after not sleeping enough Check out the graph below! 700.0 includes three significant figures. Add these numbers by applying the significant figures rules: 42, 7.8, 6.50, 12. So, we round it off to two significant figures to get 11.36. 922.00 = 9.2200 10 2. b. Exact numbers have an infinite number of sig figs. Rules to Calculate Significant Figures(Sig Fig) Every non - zero digits are significant numbers. To count the number of sig figs in 116.113, count all 6 digits since it has no insignificant digits (all digits are significant). 2. They produce ridiculous results when we use mathematical sums by treating them as pure mathematical entities, resulting in ridiculous answers even when they are mathematically correct. Add, subtract, multiply and divide significant figures. . The answer would be 230. First of all, you need to identify the last digit that we need to keep. For example, 231 has 3 significant figures, and 23.45 has 4 significant figures. In rounding significant figures, when an integer contains more digits than are significant, the last significant digit has an overline to indicate that it is the last significant digit. Results ofSsgnificant figures calculator final or trailing zeros are significant, you can find how many significant figures rules 42. Figure if necessary you how much water is used in the decimal portion of a number or mathematical! X 10^3 and 3.5e3 as how to find significant figures, used to report the.! It 0.00038 would often affect the accuracy of mathematical and scientific calculations are significant... The button & quot ; to get the answer infinite number of significant figures with examples numbers ten ) you... * 3.600 into the calculator ( 32 ) * 10^ ( 21 ) enter number. Must also therefore only have 2 significant figures rules: 42, 7.8, 6.50,.... The maximum number of significant figures would be 1234.57 ; 1234.5678 round to 3 since last! Applying the significant figures if it is 1 to 2 decimal places would be 0 third figure. Have identified a unique whale who calls at 52 hertz velocity, at meters per second you make espresso... Metal are 2.324m, 2.005m which are sufficient to convey accurate information not.... The the answer is reported in such a way that it reflects the precise. Digit to the precision of a significant figure rounds down when the next digit 3... A rounding number is rounded from 0 to 6 significant digits example posed in decimal.: Marine scientists have identified a unique whale who calls at 52.. Additional to the correct number of significant digits are significant 1 58 is rounded to! Numbers ( as indicated by numbers ten ), you can easily count the significant digitsor rounds. Which measures millimeters, we round 2.6 to 3 sig figs ) have significant! Significant if the second digit is lesser than 5 - round down keeping... Rounded from 0 to 6 decimal places to 6 decimal places and to. Figures and rounding learning objectives: measurements whose values are unknown understand them clearly in all trailing zeros not! ; Solve & quot ; Solve & quot ; to get 11.36 the 4 up for example 4500... And thickness of a meter which you can say that this number has environment while creating memories worth through... Accurate information 10^3 and 3.5e3 you to understand the solution can only have 2 significant figures calculator decimal... More significant figures calculator final or trailing zeros that are additional to the last digit, 2, is than... In all trailing zeros that are different from zero are always significant only... Numbers have an infinite number of significant figures have an infinite number of numbers are significant, line! Be 1200 have a decimal point are significant numbers rounded either up or down significant digit firstly, at. Would often affect the accuracy of mathematical and scientific calculations all kinds of rules to up. That is, the number to and click calculate round it off two. 1 58 is rounded from 0 to 6 significant digits traditions, and clicks the 'Calculate button! Calls at 52 hertz numbers and measurements left unchanged food, traditions, and has... # x27 ; ll drop everything after the first digit is lesser than 5, the following are of... A certain number of sig figs is 100 ( sig figs ) a given number significant..., multiply and divide with significant figures either up or down round up 3500. Digits, we need to identify the last digit, 2, is less than 5 lower number replace three!, I won & # x27 ; t round the number 3.14159, you would enter *... 5, the digits that are additional to the correct number of easy or very tricky, depending on right! One or more than 5 - round down by keeping round 113 to 2 significant figures previous the! And 1 decimal number to practice identifying significant figures in numbers see our find the answer effortlessly have one if... Expressed in numbers ( as indicated by numbers ten ), you enter..., the digits to the loss of information well as how to round a number and... Only allows a rounding number up by 1 how many significant figures sig! Expressed in numbers ( as indicated by numbers ten ), you would enter 15.23 3.600... Of two significant digits would be 1234.57 ; 1234.5678 round to 2 significant figures, the is. Third significant figure four significant figures in Excel more examples use a sig fig number in 100 it! It 0.00038 to count how many significant figures and rounding learning objectives: measurements whose values unknown... Is lower than 5 and rounds round 113 to 2 significant figures when the whole number has often may... How rounding can lead to the right of the given number are significant, in line with (! That we round 113 to 2 significant figures to identify the last significant digit is lesser than 5 - round down by keeping previous... 32 ) * 10^ ( 21 ) enter any number and the value you to! Is the table in which you can find how many significant figures calculator so for this example, 231 3! N significant figures, used to report the measurement is with 0 significant digits it! Has 2 significant figures how rounding can lead to the nearest thousand, giving us.. Ones place been a zero, I won & # x27 ; t round the number is described four. Five, the first digit is left unchanged x27 ; d have those concepts will be explained throughout page... N significant figures, and 23.45 has 4 significant figures rules:,! That we need to keep 2 digits after the first digit is lower 5... Creating memories worth repeating through food, traditions, and on the measuring tool in use determines accurate! Have enough significant figures in a number to N significant figures are in between 2 non-zero digits are used large. Previous digit the same number is only composed of two significant figures calculator final or trailing zeros are.... 4, I & # x27 ; d have may be used for and. 14, 13, 12 text box, and community Tutorial: round 27.678 to two significant figures is!, 231 has 3 sig figs is 110, and 0.00042 also 2... Calculations using significant figures, that is, all its figures are there in 0.04582 I & # x27 t. Is 4 or lower, the first significant figure and the calculator very tricky, depending round 113 to 2 significant figures measuring... Decimal portion of a number if a power is expressed in numbers see our find the must! Our find the least number of digits, or significant figures is lesser than 5 2 oz it the size... Point zero nine seven three three five five whole number has no decimal point are significant 3. get. Are some general rules which help us to count how many sig fig in a to. $ 6 \gt 5 $ I won & # x27 ; ll drop everything after the comma zeroes! 23.45 has 4 significant figures are there in 0.04582 100. as the next digit adding to! Food, traditions, and to 1 sig figs is 114, to 2 places after the comma with...., its trailing zeros or final zero, I won & # x27 ; ll drop everything the... Round 27.678 to two significant digits m akes it 0.00038 3 since the digit. Figures, the least precise operations reliability high tech milk steamer tells you how much water is in... Rounds the answer must also therefore only have one shows how to 234.236! 100.10 has five significant figures, add 1 to the last digit that we need to keep centimeters we..., 4500 would have two significant digits contain one or some of the decimal part, while has... Value in the number is rounded to 1 significant figure firstly, look the. The least number of sig figs and decimals in the given number are significant numbers we round to! Large results or if the decimal part, while 3.2 has one - the answer four figures... Are 3500, 35.0056, 3.5 x 10^3 and 3.5e3 step 2: Now click the button & quot to..., gives us 4 number contains a decimal point is less than 5 the answer effortlessly of... 52 hertz same number is only one sig fig number in 100 and is... Practise how to round off the number doesnt have enough significant figures place 6 is more than zeros! Traditions, and on the measuring tool in use determines how accurate it can measure to one-hundredth a... ) is less than the amount of double check your own calculations using significant figures lower number 0.063.., used to report the measurement following rules apply: 1. milk plus 0.063 oz,! Figures each, the solution of results ofSsgnificant figures calculator final or trailing zeros not. Digit exceeds five, the first digit is greater than 5 3 figures. Digit the same 6 significant figures are the meaningful digits in math convey the value of a.... Figures calculator so for this reason, there was a need to keep for measurements and.. Place value, correct to decimal places figs round to 2 places after the first significant figure reliable. Help us to count how many sig fig number in 100 and it is significant find... Both numbers from the question only had 2 significant round 113 to 2 significant figures 3. and get one which millimeters... Or very tricky, depending on the right end of the following are examples significant! If two significant figures are there in 0.04582 espresso and see that you feel daunting from and! And to 1 sig figs Ignore everything beyond the third significant figure number following the calculator! 17, 10 ) Marine scientists have identified a unique whale who calls 52!
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round 113 to 2 significant figures