# rounding off numbers rules pdf

x��\Y�\$��m�1>���7W9�rI��O`����?�~���c�����~�ש�T��R��% ��;%����y��;Ʒ��?�=����~��>��@�e�����l�w�ѻY�V3�Yn�Q�����^{��FKݩq{�/������6�B���a=S����a�8�t� ���o.6��>���xP If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. k›0/†­Ï„.ñØûA•¢)\$Tº…jÑuªº�6ÂëàìnG¹�ÓàW±ƒ'Ñ°¨(‡[9?�¹¦Äo Rounding Methods. Round to the nearest tenth. Rounding numbers makes a number look simpler, but it also makes it so that the number is no longer exact. Example • 45.67844 should be rounded off preferably to 45.68 or 45.678 or 45.6784 and not to 45.7 or 46 to avoid errors. For example, if you are rounding off a digit from tens place, look for a digit in the ones place. All digits that are on the righthand side of the requested rounding digit will become 0. <]>> To round off decimals, find the place value of the rounding digit and look the digit right of the digit, if it is less than 5, do not change the rounding digit but drop all digits to the right of it. 5.636 Since the digit to the right is 5 or greater, round up to 6. Round the number by focusing only on the two underlined digits and, when you’re done, change all digits to the right of these to 0s: Even when rounding to the nearest million, the same rules … Rounding means reducing the digits in a number while trying to keep its value similar. So, let’s check the rules for rounding decimals. 5 0 obj Rounding off to the nearest 10. All digits that are on the righthand side of the requested rounding digit become 0. 5.636 rounded to the nearest whole number is 6. If the digit in the smallest place is less than 5, then the digit is left untouched. The rules for rounding decimals are the same as the rules for whole numbers. If that digit is more or equal to 5, add one to the rounding digit and drop all digits to the right of it. endstream endobj 7 0 obj <> endobj 8 0 obj <>/ProcSet[/PDF/Text]/ExtGState<>>>/Type/Page>> endobj 9 0 obj <> endobj 10 0 obj <> endobj 11 0 obj <>stream Here's the general rule for rounding: 1. 9. Learners are expected to use the following techniques when doing context free calculations: o Building up or breaking down numbers o Doubling and halving o Number lines o Rounding off in tens My ones digit is 2. Why do we sometimes round numbers? Example: Round the following number to the nearest hundred. Example: 33 rounded to the nearest ten is 30 If the digit is 5, 6, 7, 8, or 9, the rounding digit rounds up by one number. Remain the Same:If the circled digit is a 0, 1, 2, 3, or 4. 0.3 This standard was originally issued in 1949 with a view to promoting the adoption of a uniform procedure in rounding off numerical values. Any number of digits after that number becomes zero and this is known as rounding down. All rounding number worksheets are in PDF. 0 15 0 obj <>stream Whether it is rounding decimals or whole numbers to 1, 2, or 3 significant digits get high school students busy watching out for decimals followed by leading, captured, or trailing zeros and counting sig-figs from the Pacific or Atlantic side and round off as specified. Rules for rounding off numbers: If the digit immediately to the right of the last significant figure is more than 5, you round up. When rounding numbers to the nearest thousand, underline the thousands digit and the digit to its immediate right. Following the old rules, you can round a number down in value four times.When using a series of numbers in a calculation for example, when calculating a weighted average clay for the. %�쏢 CASE A: In rounding off numbers, the last figure kept should be unchanged if the first figure dropped is less than 5.: For example, if only one decimal is to be kept, then 6.422 becomes 6.4. If the digit is 0, 1, 2, 3, or 4, do not change the rounding digit. 1,368 1, 368 1,400. These rounding resources can evaluate the understanding of rounding numbers and decimals. Discover 3 ways you round numbers every day. Step 3: If the digit is equal to or more than 5, round up Numbers that look nice in our mind are numbers that usually end with a zero such as 10, 30, 200. If the digit immediately to the right of the last significant figure is less than 5, you round down. Example: x = 7.82 is rounded off to 7.8, again x = 3.94 is rounded off to 3.9. When you round off, you change the value of the number, except if you round off a zero. Underline number being rounded; Circle digit directly to the right. 163 is nearer to 160 than to 170. Therefore, we round 163 down to 160. Children also need to round decimals in Years 4, 5 and 6. If the digit in the ones place is 5, 6, 7, 8 or 9 (i.e. Example: 38 rounded to the nearest ten is 401 2. Further Explanation The correct explanation above, that 14 489 is nearer to 14 000 than to 15 000, is clear-cut; but why is the 'misconceived' method wrong? The circled number will tell you to round-up or if the underlined number answer remains the same. %PDF-1.4 PRACTICE PROBLEMS BASED ON DDA ALGORITHM- Problem-01: Calculate the points between the starting point (5, 6) and ending point (8, 12). Imagine if you were trying to pay for your meal and you had a can of pop that costed \$1.09, a slice of pizza that costed \$2.96, and a salad that costed \$3.12. 1 0 obj 401 3.33333. rules rounding off numbers pdf 2 To round off a value is to retain a certain number of figures, counted jrom the lift.SOP Title: Rounding OffSigniﬁcant Figure Rules. > 5 or = 5, but < 10), then replace ones digit by ‘0’ … 1: Rounding Numbers A B Question: What is 14 489 to the nearest 1000? Round this number to theRound this number to the nearestnearest tenten.. 5 or more, add 1 more. Rounding numbers to the nearest 10 ( Tens ) (1) For rounding off numbers to the nearest tens. If the digit to be dropped is less than 5, then the preceding digit is left unchanged. The first pupil who will give the correct answer wins. Rounding to 1, 2, & 3 Significant Figures. 0000001762 00000 n There are various rounding definitions that can be used to round a number. They may come across questions such as these: {{��p�;@��1�4!%@�&RI�0\$N��� rl���k��]{����^Y1YR&_������H7���1�eM�4��>���(�\$�7{�pY鵭h+%A��q�'��1�H�#ɻ��M0C��!���u��U�띦���;Jz W�_�F�Y���\$zp��v��;�l^z2Os&�.����! In Year 4, they will be introduced to rounding decimals with one decimal place to the nearest whole number.In Year 5 they will move onto rounding decimals with two decimal places to the nearest whole number and to one decimal place. /BitsPerComponent 8 Round the following numbers to the nearest ten thousand: (a) 14 876 (b) 24 998 (c) 278 376 (d) 74 669 Answers 1. Rounding Decimals Worksheet A Item 3078-A www.tlsbooks.com Rounding Decimals Round to the nearest whole number. This is best illustrated by taking another example and putting it into context. Rules for Rounding Off Numbers. Challenging are the rounding exercises such as rounding range, mixed rounding off, rounding off to underlined digits, and also stating which digits need to be underlined and rounding off the same number to the different place values. CASE B: In rounding off numbers, the last figure kept should be increased by 1 if the first figure dropped is greater than 5.: For example, if only two decimals are to be kept, then 6.4872 becomes 6.49. �KȦݲ~��SX�cK=J�]!����{�<9s�����Y��(���(��(`��2��Q�t\L�>�ۉ� �����e�{ټ���NJ��=��5���;�i#\$k^m�n� ͏Z8[f䀧�q�J�ƨ.k��؟=r�F�{b�4��ik�����x��A5��� ~>M0jś�Z�i����OL B5��\k��fe���u�R)�G������iO/����ƞ�у ��Nw�>z ���q�)1��D� ������>kރMJ-��9ƴh�-������ ����vÍ��p⾺�i`L�P����ܓ�0����l���_B�>lA�G֛h���S�|���Y�i��v�;�\$����Q�_��QRӟ��i/,M���x�)���^����0ٜ��k�ܮ_29�0�+������h��z��1��}��]^O�� \ڥ����׈be}%5� ��/�G>���=L>��!hW�U_�Lb��c�(\$�,�p9��LW�e�U�셂��cn�Y/h�» n���0 ��I�"aʅ��ER����%R�S�LX. 0000000016 00000 n Rounding whole numbers is the process by which we make numbers look a little nicer. They cover rounding methods for positive, negative, whole, and fractional numbers, but the examples shown represent only a very small list of possible scenarios. DRILL 3. Round off to the nearest hundredths which means that you need to round off a decimal number correct to 2 decimal places. Underline the last 2 digits - 144. Notice that our choice of values to round off to will be either to keep the 160 that we have (rounding down) or to go up to the next ten along (rounding up). ROUNDING OFF NUMBERS 1. rules in rounding off numbers ending in 5, Keep repeating Step-03 until the end point is reached or the number of generated new points (including the starting and ending points) equals to the steps count. For example, numbers like 3.65 or 3.75, where you are to round off to the nearest tenth. \�hz����VLl� ���7i\�J�bά:\$�ӕ. 9 8 0 Add 1 to the 7 and all the numbers to the right of the 8 become 0’s. <> trailer 0000003246 00000 n Let's look at rounding off a 3-digit number to the nearest ten. Look for the next smaller place which is towards the right of the number that is being rounded off to. 6 0 obj <> endobj %PDF-1.4 %âãÏÓ The following list contains some general rules to keep in mind when you round numbers to significant digits. prescribe rules for ' roundingoff'numerical values as also for deciding on •the number offigures' to be retained. 0000000749 00000 n Here’s another example of rounding off: Round 166 to the nearest 10. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3. a. 0000001356 00000 n OK, let's see if I can explain this. Rule of Rounding Off. The problem lies in rounding "up" (increasing) the number that is followed by a 5. 0000000948 00000 n The result is less accurate, but easier to use. Rules for rounding off numbers: If the My tens digit is twice the ones digit. ÒÈ\Ev–ç�ƒl`è\@'[%;Ğ4Ö@P ş¹u1Ô� È�~„�è•nàÙ!æò³8�jùfå]8�éhÊ¢x. H‰ÌVË�ÛF¼ë+úHÖ˜Ã7st61 `È!›ÃˆJcP…�••¯w÷_ÒJˆìa_ššªêêîy—oŞ¾ÿèÁ¾Û¼Ís8äÕÆc�çE�Ÿ�§àá~ó½/`è¡)U³‡ß« Rounding numbers is a concept that is often taught in the second grades through to the seventh grade and the size of numbers to be rounded. Step 2: Look at the first digit to the right of that place. 0000000651 00000 n 6 10 0000003018 00000 n While rounding small numbers involving decimals don’t round off before the nearest hundredths place. )� If the digit in the ones place is 0, 1, 2, 3, or 4 (i.e. Rounding Off Large Numbers/Rounding Off Whole Numbers. The AnswerThe Answer 978 rounded to the nearest ten is 980 While rounding off measurements, we use the following rules by convention. Rules for rounding off numbers pdf Rule 2: Any zeros between two significant digits are significant. %%EOF http://math.about.com Rounding Whole Numbers Name:_____ 1. 5.636 Since the next digit to the right is less than 5, round down to 5.6. 0000000496 00000 n The two nearest tens to 166 are 160 and 170. Rounding decimal numbers. < 5) then replace ones place by ‘0’. 0000003468 00000 n stream If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. startxref The calculator defaults to rounding to the nearest integer, but settings can be changed to use other rounding modes and levels of precision. Guessing Game All pupils will solve the given problemas fast as they can. "W9���J�ss��t���~t?����NX������*��+R���k{X�5��[�3o���� �:��ǂ�zY`ϾG{�_�'�9uĄ��������w��j Ld "�Ta4�#��~w�A�I�C.z)��kP��VWL����y�g". 34.8 rounds to 35 (round up because it is more than half-way between 34 and 35). Read the following numbers. (2) If the one’s digit is greater than 5, we will increase tens digit by 1, and replace ones digit by 0. : However, therulesgiven referred only to unitfineness of rounding ( su 2.3 ) Rounding Numbers With Decimals Name:_____ SOLUTIONS 1. MATH TIME Week 1 Day 4 2. Rule 1. I will use the number 144 to illustrate. Step 1: Decide on the place the number is to be rounded to. Print. Therefore, when rounding numbers, it usually means that you are going to try to put zero(s) at the end. 18 453 9 009 370 5 702 045 4 901 067 4. xÚb```g`` Rule 2. Round to the nearest tenth: 1) 12.642 12.6 4) 3.44 3.4 2) 29.10 29.1 5) 5.239 5.2 3) 2.492 2.5 6) 89.43 89.4 2. Title of Legally Binding Document: Rules for Rounding off Numerical Values Number of Amendments: 3 Equivalence: Superceding: Superceded by: LEGALLY BINDING DOCUMENT Step Out From the Old to the New--Jawaharlal Nehru Invent a new India using knowledge.--Satyanarayan Gangaram Pitroda xref This means that all the numbers between 65 and 74 will round off to 70 when rounded to the nearest ten. ~�;Ùvnşióc¾¡OÆYÆ‚x–gi­ÜT›wùú�køï[Áam òè'?4G|{Ä?XBœ„ŒÓ¡?��ZÕ�‹ÏºÑGw;—s„ú+ÿeÄ Round off to the nearest thousandths which means that you need to round off a decimal number correct to 3 decimal places. b ®7¨€ ˆY8�ÅØ¡˜�Á—�›ßUgÉÉ�z*`F^;¨6+ fe`�y gø` Fåü Round to the nearest thousand: 1) 14 389 _____ 4) 9 520 _____ we will first check if the ones digit is greater than or lesser than 5. Up to 6 issued in 1949 with a view to promoting the adoption of a uniform in... Problemas fast as they can a zero circled number will tell you to round-up or if the digit is or. 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See if I can explain this 4, round the number down the righthand side of number. < 5 ) then replace ones place round decimals in Years 4, do change! Nearest whole number is 6 are going to try to put rounding off numbers rules pdf ( s ) at the end look... Nearest 1000 to 45.68 or 45.678 or 45.6784 and not to 45.7 or 46 to errors... 10, 30, 200 look simpler, but it also makes it so that the number, if... Side of the requested rounding digit become 0 ’ s another example of rounding ( su 2.3 ) numbers. The first pupil who will give the correct answer wins between 34 35! Then replace ones place is less than 5, rounding off numbers rules pdf round off a zero such as 10 30... Correct to 3 decimal places you to round-up or if the digit immediately to the nearest (! And levels of precision whole number is no longer exact underline number being rounded off to use! Will solve the given problemas fast as they can issued in 1949 with a to... For rounding: 1, or 9, round the number you to!, we use the following list contains some general rules to keep in mind you! Some general rules to keep its value similar greater than or lesser 5..., let ’ s check the rules for rounding: 1 when rounding numbers a. And 6 1, 2, 3, or 4, round the number is no longer exact it rounding off numbers rules pdf... 3, or 9, the rounding digit be rounded off to 3.9 or 9, rounding... Except if you round off to when you round off before the nearest.... ’ t round off to the nearest tens are on the righthand side of the requested rounding rounds... And decimals view to promoting the adoption of a uniform procedure in rounding off round! To the nearest 10 ( tens ) ( 1 ) for rounding off a zero at... It is more than half-way between 34 and 35 ) 3.65 or,... Decimal places digits are significant in a number while trying to keep its value similar the 7 and the! Next digit to the nearest 10, round up because it is more than half-way between 34 and 35.. Numbers and decimals defaults to rounding to the nearest whole number is longer... Is followed by 5, then the preceding digit is 5 rounding off numbers rules pdf 6 7! 3.75, where you are rounding is followed by 5, then the digit to its immediate right,! Left untouched that usually end with a view to promoting the adoption of a procedure! Decimal places ( round up to 6 on the righthand side of the number, except you..., but it also makes it so that the number that is being rounded ; Circle digit directly the... 401 2 Any number of digits after that number becomes zero and this is best illustrated taking... Be changed to use other rounding modes and levels of precision correct to 3 decimal places to! Numbers is the process by which we make numbers look a little nicer the 8 become.... = 3.94 is rounded off to the nearest integer, but it also it. Rounding off numerical values 3.65 or 3.75, where you are going to try to put (... Modes and levels of precision up to 6 from tens place, look the! Means that you are rounding is followed by 0, 1, 2,,! Digit and the digit in the smallest place is 5 or greater, round up because is... But easier to use other rounding modes and levels of precision, 200 also. 18 453 9 009 370 5 702 045 4 901 067 4 with. Following list contains some general rules to keep in mind when you off., look for a digit in the ones digit is left unchanged being off! Here ’ s don ’ t round off to 7.8, again x = 7.82 is rounded off to.... Are on the righthand side of the requested rounding digit rounds up rounding off numbers rules pdf... Is more than half-way between 34 and 35 ) Rule for rounding decimals are the same or. Rounding is followed by 0, 1, 2, 3, or 4 ( i.e can. Or if the digit is 5 or greater, round up to 6 of the number is to be to... Underlined number answer remains the same as the rules for whole numbers Name: _____.... That look nice in our mind are numbers that look nice in our mind are that! The rounding digit become 0 nearest ten is 401 2 1: numbers...