Giving the value and the place value of a digit.

Giving the Place Value and Value of a digit of a given decimal number through ten thousandths

Quiz1: Math 4 (Giving the Place Value and Value of a Digit)

In a single domesticated grain seed, one might see the bud of great civilizations. The birth of agriculture was a turning point in humans' social development, as stable food supplies enabled people to transcend the constraints of food gained by hunting and gathering. After that, people were able to settle down and experience population booms. As one of the major areas around the globe where agriculture originated, China has contributed to the world's domesticated rice, millet, buckwheat and soybeans. Archaeological studies have unveiled that the planting of rice originated around 10,000 years ago in the lower reaches of the Yangtze River, leading to the eventual replacement there of hunting and gathering practices dating back 5,000 to 6,000 years. "It marked the formation of a rice-based agricultural society in the area," said Zhao Zhijun, an archaeologist at the Chinese Academy of Social Sciences. Archaeological studies of the origins of rice-based agriculture are an important part of a national project tracing the origins of Chinese civilization itself. President Xi Jinping has greatly valued the project. At a group study session of the Political Bureau of the Communist Party of China Central Committee on May 27, 2022, Xi, who is also general secretary of the CPC Central Committee, emphasized the significance of the project and the role that archaeological studies play in better understanding Chinese civilization. The project to trace the origins of Chinese civilization, in addition to finding signs of human activity more than 1 million years ago, has also proved that China's history includes 10,000 years of culture and more than 5,000 years of civilization. The project has provided clear knowledge of the origins and formation of Chinese civilization, the history of its development, the process of the formation and development of its pluralistic and integrated pattern, and the characteristics of the civilization and why it was formed in such a way, he added. This was not the first time that Xi emphasized the importance of the origin-tracing project. Since the 18th National Congress of the CPC in 2012, Xi has toured more than 100 historical and cultural locations and issued many instructions related to archaeology and the origin-tracing project. During the 23rd group study session of the Political Bureau of the CPC Central Committee in 2020, Xi called for giving more attention to archaeological research and letting historical facts speak for themselves. "This will provide strong support for our efforts to carry forward the best of traditional Chinese culture and increase our cultural confidence," said Xi. The origin-tracing project has been carried out since 2002. Its ongoing fifth phase, which started in 2020, involves the participation of more than 500 researchers from 29 institutes across the country. It primarily centers on several ancient capital sites, including the Liangzhu site in Hangzhou, Zhejiang province, the Taosi site in Xiangfen county, Shanxi province, the Shimao site in Shenmu, Shaanxi province, and the Erlitou site in Luoyang, Henan province, from 3,500 to 5,500 years ago, as well as other settlements mainly along the basins of the Yellow, Yangtze and Liaohe rivers. The project has also expanded to a wider geographic and chronological framework to decode how Chinese civilization emerged and how its diverse elements formed a unity. Excavation of the Liangzhu site, which is over 5,000 years old and is one of the major sites covered in the origin-tracing project, has yielded an inner city covering 3 million square meters and an outer city of 6.3 million sq m, making it the world's largest capital at the time. It also had a giant water control system, which contributed to the formation of a rice-based agricultural society. By calculating the earthwork volume, archaeologists found that building the entire ancient city, the water control system and Mojiaoshan — a 10-meter-tall man-made terrace in the center of the city — required 10,000 people working daily for seven-and-a-half years. The discoveries show that Liangzhu had a kingship able to organize people for large-scale public construction, and its social differentiation, emergence of the city concept and existence of a kingship prove that it became a civilized society, said Wang Wei, a veteran archaeologist at the Chinese Academy of Social Sciences. Significant topic Wang said that tracing the origins of a civilization is a significant topic in the research of human history. Over the years, the Chinese project has provided China's answer to how to define civilizations. In 2022, Xi commended the efforts and stressed that the project has made creative contributions to the research on tracing the origins of the world's civilizations. Wang said: "International academia has proposed three indispensable elements for a civilized society based on features of Mesopotamian and Egyptian civilizations: written characters, metallurgy and the city concept. But we can find that some of the three elements were absent in many ancient civilizations. For example, the Mayan civilization had no metallurgy, while the Incan civilization didn't have written characters." Western scholars believe that Chinese civilization began with the Yinxu Ruins in Anyang, Henan province, a capital of the late Shang Dynasty (c.16th century-11th century BC), based on the discovery of inscribed oracle bones from that time. However, Chinese archaeologists don't agree. With continued archaeological research, international academia now believes that places around the world can propose criteria for civilization based on their own ancient social development. China's archaeological studies have shaped the nation's criteria in defining a civilization: the development of productivity, an increase in population, the appearance of cities, social differentiation and the emergence of kingship and state. "These criteria are suitable for identifying other civilizations as well," said Wang. "Civilizations have in common the appearance of kingship and state. They are only different in the ways of imposing kingship and the forms of state." In China, kingship and state "were shown by exquisite jade and bronze ritual artifacts, grand palaces and magnificent mausoleums imitating aboveground palaces", he added. "In Mesopotamia and ancient Egypt, they were demonstrated through superb stone temples, pyramids and large-scale tombs." Multidisciplinary subject President Xi said in 2020 that archaeologists should work closely with researchers from other fields to make an interpretive analysis of material remains. Zhang Chi, a professor of archaeology at Peking University, said that since material remains are often the research focus of archaeological studies, these should not only be observed with the eyes, but also studied using scientific and technological tools. Therefore, from the perspective of research methods, archaeology is by nature a multidisciplinary subject, Zhang added.

Covalent Molecules and Compounds Just as an atom is the simplest unit that has the fundamental chemical properties of an element, a molecule is the simplest unit that has the fundamental chemical properties of a covalent compound. Some pure elements exist as covalent molecules. Hydrogen, nitrogen, oxygen, and the halogens occur naturally as the diatomic (“two atoms”) molecules H2, N2, O2, F2, Cl2, Br2, and I2 (part (a) in Figure 3.1.1). Similarly, a few pure elements exist as polyatomic (“many atoms”) molecules, such as elemental phosphorus and sulfur, which occur as P4 and S8 (part (b) in Figure 3.1.1). Each covalent compound is represented by a molecular formula, which gives the atomic symbol for each component element, in a prescribed order, accompanied by a subscript indicating the number of atoms of that element in the molecule. The subscript is written only if the number of atoms is greater than 1. For example, water, with two hydrogen atoms and one oxygen atom per molecule, is written as H2O. Similarly, carbon dioxide, which contains one carbon atom and two oxygen atoms in each molecule, is written as CO2. Covalent compounds that predominantly contain carbon and hydrogen are called organic compounds. The convention for representing the formulas of organic compounds is to write carbon first, followed by hydrogen and then any other elements in alphabetical order (e.g., CH4O is methyl alcohol, a fuel). Compounds that consist primarily of elements other than carbon and hydrogen are called inorganic compounds; they include both covalent and ionic compounds. In inorganic compounds, the component elements are listed beginning with the one farthest to the left in the periodic table, as in CO2 or SF6. Those in the same group are listed beginning with the lower element and working up, as in ClF. By convention, however, when an inorganic compound contains both hydrogen and an element from groups 13–15, hydrogen is usually listed last in the formula. Examples are ammonia (NH3) and silane (SiH4). Compounds such as water, whose compositions were established long before this convention was adopted, are always written with hydrogen first: Water is always written as H2O, not OH2. The conventions for inorganic acids, such as hydrochloric acid (HCl) and sulfuric acid (H2SO4), are described elswhere. Note! For organic compounds: write C first, then H, and then the other elements in alphabetical order. For molecular inorganic compounds: start with the element at far left in the periodic table; list elements in same group beginning with the lower element and working up. Write the molecular formula of each compound. a. The phosphorus-sulfur compound that is responsible for the ignition of so-called strike anywhere matches has 4 phosphorus atoms and 3 sulfur atoms per molecule. b. Ethyl alcohol, the alcohol of alcoholic beverages, has 1 oxygen atom, 2 carbon atoms, and 6 hydrogen atoms per molecule. c. Freon-11, once widely used in automobile air conditioners and implicated in damage to the ozone layer, has 1 carbon atom, 3 chlorine atoms, and 1 fluorine atom per molecule. Solution: a. • A The molecule has 4 phosphorus atoms and 3 sulfur atoms. Because the compound does not contain mostly carbon and hydrogen, it is inorganic. • B Phosphorus is in group 15, and sulfur is in group 16. Because phosphorus is to the left of sulfur, it is written first. • C Writing the number of each kind of atom as a right-hand subscript gives P4S3 as the molecular formula. b. • A Ethyl alcohol contains predominantly carbon and hydrogen, so it is an organic compound. • B The formula for an organic compound is written with the number of carbon atoms first, the number of hydrogen atoms next, and the other atoms in alphabetical order: CHO. • C Adding subscripts gives the molecular formula C2H6O. c. • A Freon-11 contains carbon, chlorine, and fluorine. It can be viewed as either an inorganic compound or an organic compound (in which fluorine has replaced hydrogen). The formula for Freon-11 can therefore be written using either of the two conventions. • B According to the convention for inorganic compounds, carbon is written first because it is farther left in the periodic table. Fluorine and chlorine are in the same group, so they are listed beginning with the lower element and working up: CClF. Adding subscripts gives the molecular formula CCl3F. • C We obtain the same formula for Freon-11 using the convention for organic compounds. The number of carbon atoms is written first, followed by the number of hydrogen atoms (zero) and then the other elements in alphabetical order, also giving CCl3F. Write the molecular formula for each compound. a. Nitrous oxide, also called “laughing gas,” has 2 nitrogen atoms and 1 oxygen atom per molecule. Nitrous oxide is used as a mild anesthetic for minor surgery and as the propellant in cans of whipped cream. b. Sucrose, also known as cane sugar, has 12 carbon atoms, 11 oxygen atoms, and 22 hydrogen atoms. c. Sulfur hexafluoride, a gas used to pressurize “unpressurized” tennis balls and as a coolant in nuclear reactors, has 6 fluorine atoms and 1 sulfur atom per molecule. Answer: a. N2O b. C12H22O11 c. SF6. Ionic Compounds The substances described in the preceding discussion are composed of molecules that are electrically neutral; that is, the number of positively-charged protons in the nucleus is equal to the number of negatively-charged electrons. In contrast, ions are atoms or assemblies of atoms that have a net electrical charge. Ions that contain fewer electrons than protons have a net positive charge and are called cations. Conversely, ions that contain more electrons than protons have a net negative charge and are called anions. Ionic compounds contain both cations and anions in a ratio that results in no net electrical charge. Note! Ionic compounds contain both cations and anions in a ratio that results in zero electrical charge.An ionic compound that contains only two elements, one present as a cation and one as an anion, is called a binary ionic compound. One example is MgCl2, a coagulant used in the preparation of tofu from soybeans. For binary ionic compounds, the subscripts in the empirical formula can also be obtained by crossing charges: use the absolute value of the charge on one ion as the subscript for the other ion. This method is shown schematically as follows: Crossing charges. One method for obtaining subscripts in the empirical formula is by crossing charges. When crossing charges, it is sometimes necessary to reduce the subscripts to their simplest ratio to write the empirical formula. Consider, for example, the compound formed by Mg2+ and O2−. Using the absolute values of the charges on the ions as subscripts gives the formula Mg2O2:Polyatomic Ions Polyatomic ions are groups of atoms that bear net electrical charges, although the atoms in a polyatomic ion are held together by the same covalent bonds that hold atoms together in molecules. Just as there are many more kinds of molecules than simple elements, there are many more kinds of polyatomic ions than monatomic ions. Two examples of polyatomic cations are the ammonium (NH4+) and the methylammonium (CH3NH3+) ions. P. The method used to predict the empirical formulas for ionic compounds that contain monatomic ions can also be used for compounds that contain polyatomic ions. The overall charge on the cations must balance the overall charge on the anions in the formula unit. Thus, K+ and NO3− ions combine in a 1:1 ratio to form KNO3 (potassium nitrate or saltpeter), a major ingredient in black gunpowder. Similarly, Ca2+ and SO42− form CaSO4 (calcium sulfate), which combines with varying amounts of water to form gypsum and plaster of Paris. The polyatomic ions NH4+ and NO3− form NH4NO3 (ammonium nitrate), a widely used fertilizer and, in the wrong hands, an explosive. One example of a compound in which the ions have charges of different magnitudes is calcium phosphate, which is composed of Ca2+ and PO43− ions; it is a major component of bones. The compound is electrically neutral because the ions combine in a ratio of three Ca2+ ions [3(+2) = +6] for every two ions [2(−3) = −6], giving an empirical formula of Ca3(PO4)2; the parentheses around PO4 in the empirical formula indicate that it is a polyatomic ion. Writing the formula for calcium phosphate as Ca3P2O8 gives the correct number of each atom in the formula unit, but it obscures the fact that the compound contains readily identifiable PO43− ions.Summary • There are two fundamentally different kinds of chemical bonds (covalent and ionic) that cause substances to have very different properties. • The composition of a compound is represented by an empirical or molecular formula, each consisting of at least one formula unit.Contributors The atoms in chemical compounds are held together by attractive electrostatic interactions known as chemical bonds. Ionic compounds contain positively and negatively charged ions in a ratio that results in an overall charge of zero. The ions are held together in a regular spatial arrangement by electrostatic forces. Most covalent compounds consist of molecules, groups of atoms in which one or more pairs of electrons are shared by at least two atoms to form a covalent bond. The atoms in molecules are held together by the electrostatic attraction between the positively charged nuclei of the bonded atoms and the negatively charged electrons shared by the nuclei. The molecular formula of a covalent compound gives the types and numbers of atoms present. Compounds that contain predominantly carbon and hydrogen are called organic compounds, whereas compounds that consist primarily of elements other than carbon and hydrogen are inorganic compounds. Diatomic molecules contain two atoms, and polyatomic molecules contain more than two. A structural formula indicates the composition and approximate structure and shape of a molecule. Single bonds, double bonds, and triple bonds are covalent bonds in which one, two, and three pairs of electrons, respectively, are shared between two bonded atoms. Atoms or groups of atoms that possess a net electrical charge are called ions; they can have either a positive charge (cations) or a negative charge (anions). Ions can consist of one atom (monatomic ions) or several (polyatomic ions). The charges on monatomic ions of most main group elements can be predicted from the location of the element in the periodic table. Ionic compounds usually form hard crystalline solids with high melting points. Covalent molecular compounds, in contrast, consist of discrete molecules held together by weak intermolecular forces and can be gases, liquids, or solids at room temperature and pressure. An empirical formula gives the relative numbers of atoms of the elements in a compound, reduced to the lowest whole numbers. The formula unit is the absolute grouping represented by the empirical formula of a compound, either ionic or covalent. Empirical formulas are particularly useful for describing the composition of ionic compounds, which do not contain readily identifiable molecules. Some ionic compounds occur as hydrates, which contain specific ratios of loosely bound water molecules called waters of hydration.

Teaching English Introduction to the course: Language learning and teaching A 2 Characteristics of the language learners: Studying a system that aligns with international standards. A3 Cognitive factors in language learning: Addressing questions and obtaining necessary information regarding phenomena such as transfer, interference, and generalization; A4 Inductive and deductive language learning: ability and intelligence; and the phenomenon of systematic forgetting A5 Language learning methods and strategies: Familiarizing with foreign language learning methods, strategies for learning foreign languages, and communication strategies A6 International Assessment System of language skills in CEFR, IELTS, TOEFL: effective methods and strategies used to improve language skills (listening, reading, writing, speaking) A7 Psychological factors in language learning: Exploring various psychological factors such as self-esteem, shyness, risk-taking, anxiety, attitude, and motivation A8 The effectiveness of authentic materials during the learning process: The role of tasks and games in teaching foreign languages A9 Errors in language learning: Discussing types of errors, identifying and describing errors, causes of errors, and fossilized errors A10 Error correction or error analysis approaches: developing students' ability to apply their knowledge in practicing error correction A11 Age-related factors in language learning: Exploring types of comparisonand contrast, focusing on topics such as the age hypothesis and bilingualism, and providing a detailed explanation of these concepts A12 Teaching grammar: Studying grammar teaching methods; deductive and inductive approaches in grammar teaching; A13 Teaching grammar through context: linguistic intuition; language phenomena; using grammatical dictionaries; analyzing grammatical tasks; and designing exercises, tasks, and tests through completing grammarbased activities. A14 Teaching vocabulary. Seeking answers to questions such as 'What is a word?' and 'What does it mean to learn a word?' A15 Teaching vocabulary in context: teaching lexical units/phrases/collocations; introducing new vocabulary; using corpus data for pedagogical purposes; developing students' vocabulary learning strategies A16 Assessing vocabulary tasks: designing vocabulary tasks, exercises, and tests. In international assessment systems such as CEFR, IELTS, and TOEFL, grammar accuracy and lexical resource A 17 Teaching pronunciation: Understanding the importance of pronunciation for successful communication; teaching stress; teaching intonation A18 Modern technologies in teaching pronunciation A19 Error correction methods: watching to various experiences in this area and analyzing video lessons from international experts in the field A20 Analysis of skill integration in language learning: Understanding the stages of developing skill integration; integration of the four language skills; task-based integration; and project-based integration. A21 Teaching listening comprehension A22 Modern technologies in teaching listening comprehension A23 Teaching Speaking A24 Modern technologies in teaching Speaking A25 Teaching Reading A26 Modern technologies in teaching Reading A27 Teaching Writing A28 Modern technologies in teaching Writing A29 The role and importance of translation in teaching a foreign language A30 Module 2. International standards for teaching and assessment Classroom Language: The teacher's actions; the teacher's voice; the teacher's intonation; using the foreign language in the classroom A31 Foreign language environment: asking questions in the foreign language, giving instructions in the foreign language, providing oral explanations in the foreign language, and issues related to the use of the native language in the foreign language class. A 32 Designing curriculum: Studying, analyzing, and working with curricula designed for schools, lyceums, and colleges. A33 Planning lessons and the structure of lesson plans: determining thesequence of lessons, objectives, tasks, and expected outcomes; choosing the lesson structure for planning A34 Designing tasks for different stages of the lesson: Starting the lesson; concluding the lesson; connecting tasks within the lesson A35 Time management: allocating appropriate time for tasks during the lesson; and providing homework assignments A36 Educational materials and resources: Effective use of existing educational materials and resources; anticipating and addressing potential issues Planning and adapting materials: to the situation during teaching and working on lesson planning for groups of students with different abilities. A37 Classroom research: Stages of classroom research, data collection, analysis, and planning; creating/preparing the materials needed for data collection; distinguishing between the positive and negative aspects of the research A38 Data analysis: creating/preparing the materials needed for data collection; distinguishing between the positive and negative aspects of the research. A39 Peer lesson observation: Observing lessons; conducting interviews; questionnaires for teachers and students; maintaining a daily record; discussing problematic situations/events; notes and other aspects; the process of lesson observation: stages of observation; presenting observation results both orally and in writing. A40 Educational materials and national values: important tool for implementing and promoting educational standards, as well as national values. A41 Differences between methods of teaching foreign languages: practical application of modern methods in language teaching; foreign experiences in language teaching: the grammar-translation method; the method of conducting lessons entirely in the foreign language; the audio-linguistic method; and communicative methods. A42 Methods used in the local environment and their analysis: Discussion of the positive and negative aspects of various methods; language and culture; teaching/learning processes; the role of the native language in learning a foreign language; and the psychological foundations of foreign language teaching. A43 Teaching a foreign language through computer technologies A44 Types of independent work and its implementation A45 Principles of Assessment in foreign language teaching А46 Issues in Language Assessment А47 Alternatives in Assessment А48 Test methods. Methods and criteria for assessing language aspects: written expression, reading, listening comprehension, speaking, А49 integrating language skills: vocabulary; grammar; alternative forms of assessment; planning assessment; critical analysis; principles for designingtest tasks: scientific rigor, consistency, conciseness, clarity, informality, logical sequence, and systematic approach. А50 Foreign language for ESP. Studying and analyzing needs; setting objectives for teaching a foreign language in a specific field or professional area; defining teaching approaches in curriculum development; and discussing topics related to these areas. А51 Selecting textbooks, materials and resources А52 Content-based Instruction (CBI) А53 Strategies-based Instruction А54 Lifelong Learning: Teacher development, PreSETT, InSETT А55 The Role of Teaching Practice A56 Organization and implementation of compulsory and non-compulsory course process in foreign language teaching A57 Organization in and outclass activities A58 Defining the goals and content of foreign language teaching at various levels of the education system in the Republic of Uzbekistan: evaluating educational materials; adapting educational materials; creating educational materials; and discussing the role of the foreign language teacher in specialized fields to gain relevant information. A59 The role of independent study skills: foreign language focused on reading, research and study skills; make revision questions. incclude mcq question. answer the question. true false

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