11 Practice Lesso N 4 R O U N D W H Ole Nu M Bers U N It 1

Total Page:16

File Type:pdf, Size:1020Kb

11 Practice Lesso N 4 R O U N D W H Ole Nu M Bers U N It 1 CC04MM RPPSTG TEXT.indb 11 © Practice and Problem Solving Curriculum Associates, LLC Copying isnotpermitted. Practice Lesson 4 Round Whole Numbers Whole 4Round Lesson Practice Lesson 4 Round Whole Numbers Name: Solve. M 3 Round each number. Prerequisite: Round Three-Digit Numbers a. 689 rounded to the nearest ten is 690 . Study the example showing how to round a b. 68 rounded to the nearest hundred is 100 . three-digit number. Then solve problems 1–6. c. 945 rounded to the nearest ten is 950 . Example d. 945 rounded to the nearest hundred is 900 . Round 154 to the nearest ten. M 4 Rachel earned $164 babysitting last month. She earned $95 this month. Rachel rounded each 150 151 152 153 154 155 156 157 158 159 160 amount to the nearest $10 to estimate how much 154 is between 150 and 160. It is closer to 150. she earned. What is each amount rounded to the 154 rounded to the nearest ten is 150. nearest $10? Show your work. Round 154 to the nearest hundred. Student work will vary. Students might draw number lines, a hundreds chart, or explain in words. 100 110 120 130 140 150 160 170 180 190 200 Solution: ___________________________________$160 and $100 154 is between 100 and 200. It is closer to 200. C 5 Use the digits in the tiles to create a number that 154 rounded to the nearest hundred is 200. makes each statement true. Use each digit only once. B 1 Round 236 to the nearest ten. 1 2 3 4 5 6 7 8 9 Which tens is 236 between? Possible answer shown. 2 9 6 236 is between 230 and 240 . uuu rounded to the nearest 10 is 300. 4 8 5 rounded to the nearest 100 is 500. 240 230 uuu Unit 1Number and Operations in Base Part Ten, 1 236 is closer to than . uuu7 1 3 rounded to the nearest 100 is 700. 236 rounded to the nearest ten is 240 . C 6 There are 528 students. The school wants to order B 2 Round 236 to the nearest hundred. t-shirts for all the students. T-shirts come in packs of Which hundreds is 236 between? ten. Should the school round the number of students to the nearest ten or hundred so that each 236 is between 200 and 300 . student gets a t-shirt? Explain. 236 is closer to 200 than 300 . Round to the nearest ten. Possible explanation: When I round to the nearest ten, I round up, so there will be more shirts than students. When I round to the nearest 236 rounded to the nearest hundred is 200 . hundred, I round down, so there won’t be enough shirts. ©Curriculum Associates, LLC Copying is not permitted. Lesson 4 Round Whole Numbers 2929 3030 Lesson 4 Round Whole Numbers ©Curriculum Associates, LLC Copying is not permitted. Unit 1 Key 4/7/16 2:36PM 11 B Basic M Medium C Challenge CC04MM RPPSTG TEXT.indb 12 12 Practice and Problem Solving Numbers Whole 4Round Lesson Practice Lesson 4 Name: Solve. Round Whole Numbers M 3 Round 452,906 to each place given below. Study the example showing how to round multi-digit a. to the nearest hundred thousand 500,000 numbers to estimate a sum. Then solve problems 1–6. b. to the nearest ten thousand 450,000 Example c. to the nearest thousand 453,000 Round each number to the nearest thousand to d. to the nearest hundred 452,900 estimate the sum. e. to the nearest ten 452,910 246,135 1 651,970 B 4 The table below shows driving distances between U.S. Round 246,135 to the nearest thousand. cities. Round each number to the nearest hundred. Actual distance (mi) Rounded distance (mi) 246,000 247,000 Atlanta, GA to Los Angeles, CA 2,173 2,200 Los Angeles, CA to Seattle, WA 1,135 1,100 246,135 rounded to the nearest thousand is 246,000. Atlanta, GA to Chicago, IL 716 700 Round 651,970 to the nearest thousand. Chicago, IL to San Francisco, CA 2,131 2,100 M 5 Look at the table in problem 4. Lisa drove from 651,000 652,000 Atlanta to Los Angeles to Seattle. Alex drove from 651,970 rounded to the nearest thousand is 652,000. Atlanta to Chicago to San Francisco. Use the rounded numbers to show who drove farther and 246,000 1 652,000 5 898,000 by about how many miles. Show your work. B 1 Look at the example above. Estimate the sum by Lisa: 2,200 1 1,100 5 3,300 rounding each number to the nearest hundred Alex: 700 1 2,100 5 2,800 3,300 2 2,800 5 500 © thousand. Write the number sentence. Curriculum Associates, LLC Copying isnotpermitted. Solution: Lisa drove about 500 miles more than Alex. 200,000 1 700,000 5 900,000 6 Write numbers in the boxes below to show Possible answer shown. Box 1 and 3 2 Round 45,621 to each place given below. C B rounding on a number line. What place value should be the same number. Box 2 is 8. Unit 1Number and Operations in Base Part Ten, 1 a. to the nearest ten 45,620 are you rounding to? Box 4 is 4. The number in Box 5 is 1 digit greater than Box 1. b. to the nearest hundred 45,600 c. to the nearest thousand 46,000 8 2 0,000 8 2 4 ,000 8 3 0,000 d. to the nearest ten thousand 50,000 Solution: Rounding to the nearest ten thousand. ©Curriculum Associates, LLC Copying is not permitted. Lesson 4 Round Whole Numbers 3131 3232 Lesson 4 Round Whole Numbers ©Curriculum Associates, LLC Copying is not permitted. Unit 1 4/7/16 2:36PM CC04MM RPPSTG TEXT.indb 13 © Practice and Problem Solving Curriculum Associates, LLC Copying isnotpermitted. Practice Lesson 4 Round Whole Numbers Whole 4Round Lesson Practice Lesson 4 Name: Solve. Round Whole Numbers Solve the problems. M 4 Look at the table below. Round all the numbers to the same place value to complete the sentence below. At what place value will the rounded B 1 Choose Yes or No to tell whether to round up to the Olympic Athletes numbers for female Which place value greater hundred thousand. Year City Total Female Male athletes be the should you look at? same? a. 949,500 u Yes u3 No 2008 Beijing, China 10,942 4,637 6,305 2012 London, Great Britain 10,568 4,676 5,892 b. 503,817 u Yes u3 No Each of the two Olympic games had about 11,000 c. 180,000 u Yes u No 3 total athletes, including about 5,000 female d. 352,625 u3 Yes u No athletes, and about 6,000 male athletes. M 2 Which numbers have been rounded correctly to the M 5 Debbie looked at problem 4 and rounded the nearest hundred? Circle the letter for all that apply. Which digit do you number of female athletes in 2008 to 5,000. She What place value look at in each rounded the number of female athletes in 2012 to were the numbers A 38,753 38,800 number to round to 4,700. She said that there were about 300 more rounded to? the nearest B 38,503 39,000 female athletes in 2008. Explain why Debbie’s hundred? estimate is incorrect and fi nd a correct estimate. C 38,910 38,900 Possible explanation: Debbie rounded one number to the nearest D 38,960 39,000 thousand and the other to the nearest hundred. She should round both to E 38,109 38,110 the same place value and then subtract. 4,680 2 4,640 5 40. There were about 40 more female athletes. M 3 A company spent $850,290 on advertising last year. Unit 1Number and Operations in Base Part Ten, 1 The company spent $872,650 this year. Which of the What do you do first to solve this following is the best estimate of how much more 6 In season one of S i n g O ff , 16,865 people tried out. In problem? C the company spent this year? season two, 5,296 more people tried out. In season What place values three, 1,834 fewer people tried out than in season can you choose to A $100,000 C $22,000 round to? two. Show two diff erent ways to round and estimate B $30,000 D $22,400 the number of people who tried out in season three. Tyson chose D as the correct answer. Explain how he Show your work. got his answer. Student work should show two of three ways to round. Answers will vary. Possible answer: Tyson rounded each number to the Round to tens: 16,870 1 5,300 5 22,170 22,170 2 1,830 5 20,340 Round to hundreds: 16,900 1 5,300 5 22,200 22,200 2 1,800 5 20,400 nearest hundred and subtracted. 872,700 2 850,300 5 22,400 Round to thousands: 17,000 1 5,000 5 22,000 22,000 2 2,000 5 20,000 Solution: ___________________________________20,340 or 20,400 or 20,000 ©Curriculum Associates, LLC Copying is not permitted. Lesson 4 Round Whole Numbers 3333 3434 Lesson 4 Round Whole Numbers ©Curriculum Associates, LLC Copying is not permitted. Unit 1 4/7/16 2:36PM 13.
Recommended publications
  • Molecular Symmetry
    Molecular Symmetry Symmetry helps us understand molecular structure, some chemical properties, and characteristics of physical properties (spectroscopy) – used with group theory to predict vibrational spectra for the identification of molecular shape, and as a tool for understanding electronic structure and bonding. Symmetrical : implies the species possesses a number of indistinguishable configurations. 1 Group Theory : mathematical treatment of symmetry. symmetry operation – an operation performed on an object which leaves it in a configuration that is indistinguishable from, and superimposable on, the original configuration. symmetry elements – the points, lines, or planes to which a symmetry operation is carried out. Element Operation Symbol Identity Identity E Symmetry plane Reflection in the plane σ Inversion center Inversion of a point x,y,z to -x,-y,-z i Proper axis Rotation by (360/n)° Cn 1. Rotation by (360/n)° Improper axis S 2. Reflection in plane perpendicular to rotation axis n Proper axes of rotation (C n) Rotation with respect to a line (axis of rotation). •Cn is a rotation of (360/n)°. •C2 = 180° rotation, C 3 = 120° rotation, C 4 = 90° rotation, C 5 = 72° rotation, C 6 = 60° rotation… •Each rotation brings you to an indistinguishable state from the original. However, rotation by 90° about the same axis does not give back the identical molecule. XeF 4 is square planar. Therefore H 2O does NOT possess It has four different C 2 axes. a C 4 symmetry axis. A C 4 axis out of the page is called the principle axis because it has the largest n . By convention, the principle axis is in the z-direction 2 3 Reflection through a planes of symmetry (mirror plane) If reflection of all parts of a molecule through a plane produced an indistinguishable configuration, the symmetry element is called a mirror plane or plane of symmetry .
    [Show full text]
  • Girls' Elite 2 0 2 0 - 2 1 S E a S O N by the Numbers
    GIRLS' ELITE 2 0 2 0 - 2 1 S E A S O N BY THE NUMBERS COMPARING NORMAL SEASON TO 2020-21 NORMAL 2020-21 SEASON SEASON SEASON LENGTH SEASON LENGTH 6.5 Months; Dec - Jun 6.5 Months, Split Season The 2020-21 Season will be split into two segments running from mid-September through mid-February, taking a break for the IHSA season, and then returning May through mid- June. The season length is virtually the exact same amount of time as previous years. TRAINING PROGRAM TRAINING PROGRAM 25 Weeks; 157 Hours 25 Weeks; 156 Hours The training hours for the 2020-21 season are nearly exact to last season's plan. The training hours do not include 16 additional in-house scrimmage hours on the weekends Sep-Dec. Courtney DeBolt-Slinko returns as our Technical Director. 4 new courts this season. STRENGTH PROGRAM STRENGTH PROGRAM 3 Days/Week; 72 Hours 3 Days/Week; 76 Hours Similar to the Training Time, the 2020-21 schedule will actually allow for a 4 additional hours at Oak Strength in our Sparta Science Strength & Conditioning program. These hours are in addition to the volleyball-specific Training Time. Oak Strength is expanding by 8,800 sq. ft. RECRUITING SUPPORT RECRUITING SUPPORT Full Season Enhanced Full Season In response to the recruiting challenges created by the pandemic, we are ADDING livestreaming/recording of scrimmages and scheduled in-person visits from Lauren, Mikaela or Peter. This is in addition to our normal support services throughout the season. TOURNAMENT DATES TOURNAMENT DATES 24-28 Dates; 10-12 Events TBD Dates; TBD Events We are preparing for 15 Dates/6 Events Dec-Feb.
    [Show full text]
  • Symmetry Numbers and Chemical Reaction Rates
    Theor Chem Account (2007) 118:813–826 DOI 10.1007/s00214-007-0328-0 REGULAR ARTICLE Symmetry numbers and chemical reaction rates Antonio Fernández-Ramos · Benjamin A. Ellingson · Rubén Meana-Pañeda · Jorge M. C. Marques · Donald G. Truhlar Received: 14 February 2007 / Accepted: 25 April 2007 / Published online: 11 July 2007 © Springer-Verlag 2007 Abstract This article shows how to evaluate rotational 1 Introduction symmetry numbers for different molecular configurations and how to apply them to transition state theory. In general, Transition state theory (TST) [1–6] is the most widely used the symmetry number is given by the ratio of the reactant and method for calculating rate constants of chemical reactions. transition state rotational symmetry numbers. However, spe- The conventional TST rate expression may be written cial care is advised in the evaluation of symmetry numbers kBT QTS(T ) in the following situations: (i) if the reaction is symmetric, k (T ) = σ exp −V ‡/k T (1) TST h (T ) B (ii) if reactants and/or transition states are chiral, (iii) if the R reaction has multiple conformers for reactants and/or tran- where kB is Boltzmann’s constant; h is Planck’s constant; sition states and, (iv) if there is an internal rotation of part V ‡ is the classical barrier height; T is the temperature and σ of the molecular system. All these four situations are treated is the reaction-path symmetry number; QTS(T ) and R(T ) systematically and analyzed in detail in the present article. are the quantum mechanical transition state quasi-partition We also include a large number of examples to clarify some function and reactant partition function, respectively, without complicated situations, and in the last section we discuss an rotational symmetry numbers, and with the zeroes of energy example involving an achiral diasteroisomer.
    [Show full text]
  • Basic Combinatorics
    Basic Combinatorics Carl G. Wagner Department of Mathematics The University of Tennessee Knoxville, TN 37996-1300 Contents List of Figures iv List of Tables v 1 The Fibonacci Numbers From a Combinatorial Perspective 1 1.1 A Simple Counting Problem . 1 1.2 A Closed Form Expression for f(n) . 2 1.3 The Method of Generating Functions . 3 1.4 Approximation of f(n) . 4 2 Functions, Sequences, Words, and Distributions 5 2.1 Multisets and sets . 5 2.2 Functions . 6 2.3 Sequences and words . 7 2.4 Distributions . 7 2.5 The cardinality of a set . 8 2.6 The addition and multiplication rules . 9 2.7 Useful counting strategies . 11 2.8 The pigeonhole principle . 13 2.9 Functions with empty domain and/or codomain . 14 3 Subsets with Prescribed Cardinality 17 3.1 The power set of a set . 17 3.2 Binomial coefficients . 17 4 Sequences of Two Sorts of Things with Prescribed Frequency 23 4.1 A special sequence counting problem . 23 4.2 The binomial theorem . 24 4.3 Counting lattice paths in the plane . 26 5 Sequences of Integers with Prescribed Sum 28 5.1 Urn problems with indistinguishable balls . 28 5.2 The family of all compositions of n . 30 5.3 Upper bounds on the terms of sequences with prescribed sum . 31 i CONTENTS 6 Sequences of k Sorts of Things with Prescribed Frequency 33 6.1 Trinomial Coefficients . 33 6.2 The trinomial theorem . 35 6.3 Multinomial coefficients and the multinomial theorem . 37 7 Combinatorics and Probability 39 7.1 The Multinomial Distribution .
    [Show full text]
  • The Wavelet Tutorial Second Edition Part I by Robi Polikar
    THE WAVELET TUTORIAL SECOND EDITION PART I BY ROBI POLIKAR FUNDAMENTAL CONCEPTS & AN OVERVIEW OF THE WAVELET THEORY Welcome to this introductory tutorial on wavelet transforms. The wavelet transform is a relatively new concept (about 10 years old), but yet there are quite a few articles and books written on them. However, most of these books and articles are written by math people, for the other math people; still most of the math people don't know what the other math people are 1 talking about (a math professor of mine made this confession). In other words, majority of the literature available on wavelet transforms are of little help, if any, to those who are new to this subject (this is my personal opinion). When I first started working on wavelet transforms I have struggled for many hours and days to figure out what was going on in this mysterious world of wavelet transforms, due to the lack of introductory level text(s) in this subject. Therefore, I have decided to write this tutorial for the ones who are new to the topic. I consider myself quite new to the subject too, and I have to confess that I have not figured out all the theoretical details yet. However, as far as the engineering applications are concerned, I think all the theoretical details are not necessarily necessary (!). In this tutorial I will try to give basic principles underlying the wavelet theory. The proofs of the theorems and related equations will not be given in this tutorial due to the simple assumption that the intended readers of this tutorial do not need them at this time.
    [Show full text]
  • Numb3rs Episode Guide Episodes 001–118
    Numb3rs Episode Guide Episodes 001–118 Last episode aired Friday March 12, 2010 www.cbs.com c c 2010 www.tv.com c 2010 www.cbs.com c 2010 www.redhawke.org c 2010 vitemo.com The summaries and recaps of all the Numb3rs episodes were downloaded from http://www.tv.com and http://www. cbs.com and http://www.redhawke.org and http://vitemo.com and processed through a perl program to transform them in a LATEX file, for pretty printing. So, do not blame me for errors in the text ^¨ This booklet was LATEXed on June 28, 2017 by footstep11 with create_eps_guide v0.59 Contents Season 1 1 1 Pilot ...............................................3 2 Uncertainty Principle . .5 3 Vector ..............................................7 4 Structural Corruption . .9 5 Prime Suspect . 11 6 Sabotage . 13 7 Counterfeit Reality . 15 8 Identity Crisis . 17 9 Sniper Zero . 19 10 Dirty Bomb . 21 11 Sacrifice . 23 12 Noisy Edge . 25 13 Man Hunt . 27 Season 2 29 1 Judgment Call . 31 2 Bettor or Worse . 33 3 Obsession . 37 4 Calculated Risk . 39 5 Assassin . 41 6 Soft Target . 43 7 Convergence . 45 8 In Plain Sight . 47 9 Toxin............................................... 49 10 Bones of Contention . 51 11 Scorched . 53 12 TheOG ............................................. 55 13 Double Down . 57 14 Harvest . 59 15 The Running Man . 61 16 Protest . 63 17 Mind Games . 65 18 All’s Fair . 67 19 Dark Matter . 69 20 Guns and Roses . 71 21 Rampage . 73 22 Backscatter . 75 23 Undercurrents . 77 24 Hot Shot . 81 Numb3rs Episode Guide Season 3 83 1 Spree .............................................
    [Show full text]
  • Probabilities of Outcomes and Events
    Probabilities of outcomes and events Outcomes and events Probabilities are functions of events, where events can arise from one or more outcomes of an experiment or observation. To use an example from DNA sequences, if we pick a random location of DNA, the possible outcomes to observe are the letters A, C, G, T. The set of all possible outcomes is S = fA, C, G, Tg. The set of all possible outcomes is also called the sample space. Events of interest might be E1 = an A is observed, or E2 = a purine is observed. We can think of an event as a subset of the set of all possible outcomes. For example, E2 can also be described as fA; Gg. A more traditional example to use is with dice. For one roll of a die, the possible outcomes are S = f1; 2; 3; 4; 5; 6g. Events can be any subset of these. For example, the following are events for this sample space: • E1 = a 1 is rolled • E2 = a 2 is rolled • Ei = an i is rolled, where i is a particular value in f1,2,3,4,5,6g • E = an even number is rolled = f2; 4; 6g • D = an odd number is rolled = f1; 3; 5g • F = a prime number is rolled = f2; 3; 5g • G = f1; 5g where event G is the event that either a 1 or a 5 is rolled. Often events have natural descriptions, like \an odd number is rolled", but events can also be arbitrary subsets like G. Sample spaces and events can also involve more complicated descriptions.
    [Show full text]
  • Combinatorics of K-Shapes and Genocchi Numbers
    FPSAC 2011, Reykjavík, Iceland DMTCS proc. AO, 2011, 493–504 Combinatorics of k-shapes and Genocchi numbers Florent Hivert†and Olivier Mallet‡ LITIS, Université de Rouen, Saint-Étienne-du-Rouvray, France Abstract. In this paper we present a work in progress on a conjectural new combinatorial model for the Genocchi numbers. This new model called irreducible k-shapes has a strong algebraic background in the theory of symmetric functions and leads to seemingly new features on the theory of Genocchi numbers. In particular, the natural q-analogue coming from the degree of symmetric functions seems to be unknown so far. Résumé. Dans cet article, nous présentons un travail en cours sur un nouveau modèle combinatoire conjectural pour les nombres de Genocchi. Ce nouveau modèle est celui des k-formes irréductibles, qui repose sur de solides bases algébriques en lien avec la théorie des fonctions symétriques et qui conduit à des aspects apparemment nouveaux de la théorie des nombres de Genocchi. En particulier, le q-analogue naturel venant du degré des fonctions symétriques semble inconnu jusqu’ici. Keywords: partitions, cores, symmetric functions Contents 1 Introduction 494 2 Background 495 2.1 Genocchinumbers ................................. ......495 2.2 Integerpartitionsandskewpartitions. ................495 2.3 k-cores and k-shapes ......................................496 3 Irreducible k-shapes 497 3.1 Additionofrectangles. ..........497 3.2 Maintheorem..................................... 500 4 Work in progress 502 4.1 Mainconjecture.................................. .......502 4.2 Algebraicperspectives . ..........502 5 Table 503 †[email protected][email protected] 1365–8050 c 2011 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France 494 Florent Hivert and Olivier Mallet 1 Introduction The goal of this paper is to present some purely combinatorial results on certain partitions; these results are strongly motivated by the theory of symmetric functions.
    [Show full text]
  • 302Goldenrodrev7.26 Script
    Goldenrod REV: 7/26/06 Green REV: 7/26/06 Yellow REV: 7/24/06 Pink REV: 7/20/06 Blue REV: 7/18/06 “Two Daughters” #302/Ep.39 Written by Ken Sanzel Directed by Alex Zakrzewski SCOTT FREE in association with CBS PARAMOUNT NETWORK TELEVISION, a division of CBS Studios. Copyright 2006 CBS Paramount Network Television. All Rights Reserved. This script is the property of CBS Paramount Network Television and may not be copied or distributed without the express written permission of CBS Paramount Network Television. This copy of the script remains the property of CBS Paramount Network Television. It may not be sold or transferred and it must be returned to CBS Paramount Network Television promptly upon demand. THE WRITING CREDITS MAY OR MAY NOT BE FINAL AND SHOULD NOT BE USED FOR PUBLICITY OR ADVERTISING PURPOSES WITHOUT FIRST CHECKING WITH TELEVISION LEGAL DEPARTMENT. Goldenrod REV July 26th, 2006 #302/Ep.39 “Two Daughters” GOLDENROD Revisions 7/26/2006 SCRIPT REVISION HISTORY COLOR DATE PAGES WHITE 7/14/06 (1-60) BLUE Rev 7/18/06 (1,2,3, 7,8,12,13,27,28,30,32,33 36,39,42,42A,48,49,50,53 54,55,55A) Pink Rev 7/20/06 (15,16,41,42, 42A,43,49,52,56,56A) Yellow Rev 7/24/06 (1,15,17,17A,22,24,25, 26,27,34,34A,36,44,49,52 52A,53,55,55A,57,58) Green Rev 7/26/06 (2,5,8,10,15,19,21,22, 23,24,27,28,29,31,32,32A 33,34,34A,36,38,42,42a, 44,45,49,51,54,55) Goldenrod Rev 7/26/06 (5,6,31) #302/Ep.39 “Two Daughters” GOLDENROD Revisions 7/26/2006 SET LIST INTERIORS EXTERIOR FBI PROCESSING AREA STREET BULLPEN WAR ROOM TWILIGHT MOTEL* INTERVIEW ROOM MOTEL ROOM INTERROGATION ROOM OBSERVATION ROOM DAVID & COLBY’S CAR HALLWAY TECH ROOM DON’S CAR COFFEE ROOM FBI BRIDGE MOTEL ROOM BATHROOM SUBURBAN HOUSE HOUSE CRYSTAL’S CAR GARAGE ROADBLOCK DAVID & COLBY’S CAR CALSCI CAMPUS DON’S CAR ABANDONED HOUSE HOSPITAL ROOM CORRIDOR LOBBY EPPES HOUSE LIVING ROOM CHARLIE’S OFFICE ADAM BENTON’S HOME OFFICE CRYSTAL’S CAR "TWO DAUGHTERS" TEASER BLACK BOX OPENING: 15..
    [Show full text]
  • Naso – Bamidbar/Numbers 4:21-7:89
    Naso – Bamidbar/Numbers 4:21-7:89 The Text – Key verses in this parasha 6:1-3 The Lord spoke to Moses, saying: Speak to the Israelites and say to them: If anyone, man or woman, explicitly utters a nazirite’s vow, to set himself apart for the Lord, he shall abstain from wine and any other intoxicant; he shall not drink vinegar of wine or of any other intoxicant, neither shall he drink anything in which grapes have been steeped, nor eat grapes fresh or dried. 6:13-15 This is the ritual for the nazirite: On the day that his term as nazirite is completed, he shall be brought to the entrance of the Tent of Meeting. As his offering to the Lord he shall present: one male lamb in its first year, without blemish, for a burnt offering; one ewe lamb in its first year, without blemish, for a sin offering; one ram without blemish for an offering of well- being; a basket of unleavened cakes of choice flour with oil mixed in, and unleavened wafers spread with oil; and the proper meal offerings and libations. 6:20 The priest shall elevate them as an elevation offering before the Lord; and this shall be a sacred donation for the priest, in addition to the breast of the elevation offering and the thigh of gift offering. After that the nazirite may drink wine. The Context – The verses in plain English In Naso, God lays out for Moses the rules to be followed by Nazirites, people who, in devotion to God, abstain from drinking wine, let their hair grow long and avoid all contact with dead bodies.
    [Show full text]
  • Combinatorics and Counting Per Alexandersson 2 P
    Combinatorics and counting Per Alexandersson 2 p. alexandersson Introduction Here is a collection of counting problems. Questions and suggestions Version: 15th February 2021,22:26 are welcome at [email protected]. Exclusive vs. independent choice. Recall that we add the counts for exclusive situations, and multiply the counts for independent situations. For example, the possible outcomes of a dice throw are exclusive: (Sides of a dice) = (Even sides) + (Odd sides) The different outcomes of selecting a playing card in a deck of cards can be seen as a combination of independent choices: (Different cards) = (Choice of color) · (Choice of value). Labeled vs. unlabeled sets is a common cause for confusion. Consider the following two problems: • Count the number of ways to choose 2 people among 4 people. • Count the number of ways to partition 4 people into sets of size 2. In the first example, it is understood that the set of chosen people is a special set | it is the chosen set. We choose two people, and the other two are not chosen. In the second example, there is no difference between the two couples. The answer to the first question is therefore 4 , counting the chosen subsets: {12, 13, 14, 23, 24, 34}. 2 The answer to the second question is 1 4 , counting the partitions: {12|34, 13|24, 14|23}. 2! 2 That is, the issue is that there is no way to distinguish the two sets in the partition. However, now consider the following two problems: • Count the number of ways to choose 2 people among 5 people.
    [Show full text]
  • Democracy for All? V-Dem Annual Democracy Report 2018
    INSTITUTE VARIETIES OF DEMOCRACY Democracy for All? V-DEM ANNUAL DEMOCRACY REPORT 2018 Table of Contents V-DEM ANNUAL REPOrt 2018 INTRODUCTION EXECUTivE SUMMARY V-DEM IN A NUTSHELL A WORD FROM THE V-DEM IN NUMBERS, TEAM COLLABORATIONS, METHODOLOGY, AND HisTORICAL V-DEM 05 06 08 SECTION 1 STATE OF THE WORLD 2017 – LiBERAL AND ELECTORAL DEMOCRACY 16 SECTION 2 INCLUsiON is AN ILLUsiON 34 SECTION 2.1 SECTION 2.2 SECTION 2.3 WOMEN’S INCLUsiON INCLUsiON OF SOCiaL POLITICAL EXCLUsiON AND ACCEss TO POWER GROUPS BasED ON SOCIO- ECONOMIC INEQUALITY 38 44 52 V-DEM UsERS V-DEM PUBLICATIONS REFERENCES PRACTITIONERS, ACadEMIC JOURNAL ACadEMICS, STUDENTS, ARTICLES FROM THE AND MUSEUMS V-DEM TEAM 58 60 69 APPENdiX COUNTRY SCORES FOR 2017 71 V-Dem is a unique approach to measuring democracy – historical, multidimensional, nuanced, and disaggregated – employing state- of-the-art methodology. Varieties of Democracy (V-Dem) produces the largest V-Dem measures hundreds of different attributes global dataset on democracy with some 19 million of democracy. V-Dem enables new ways to study data for 201 countries from 1789 to 2017. Involving the nature, causes, and consequences of democracy over 3,000 scholars and other country experts, embracing its multiple meanings. V-Dem is or has been funded by (not in order of magnitude): Development Agency, NORAD/the Norwegian Research Coun- Riksbankens Jubileumsfond, Knut & Alice Wallenberg Foundation, cil, International IDEA, Fundação Francisco Manuel dos Santos, Marianne & Marcus Wallenberg Foundation, the Swedish Research Aarhus University, the Quality of Government Institute and the Council, the Mo Ibrahim Foundation, the European Research University of Notre Dame, with co-funding from the Vice Chancel- Council, the Danish Research Council, the European Union/the lor, the Dean of the Social Sciences, and the Department of Politi- European Commission, the Ministry of Foreign Affairs-Sweden, the cal Science at University of Gothenburg.
    [Show full text]