# Ch 14: PLACE Elementary Education: Computation

### About This Chapter

## PLACE Elementary Education: Computation - Chapter Summary

You can simplify the process of studying for the PLACE Elementary Education assessment by exploring the lessons in this chapter. Gain greater insight into computation so you're ready for the following on the exam:

- Demonstrating how to teach numeration and number sense to children
- Identifying different types of numbers and defining real numbers
- Performing addition, subtraction, multiplication and division
- Detailing how to round numbers to the nearest 1,000, 10,000 and 100,000
- Defining an algorithm, translating words into math symbols, and solving math problems using estimation
- Analyzing mathematical terminology, concepts and notation, and turning words into math symbols
- Adding, subtracting, multiplying and dividing mentally

You can tailor the lessons to your specific studying needs and even print the lessons to create or add to an existing study guide. Mobile features allow you to review the lessons any time and any place, helping you study at a pace that's comfortable for you.

### PLACE Elementary Education: Computation Chapter Objectives

The lessons in this chapter on computation prepare you for questions in the mathematics subarea of the PLACE Elementary Education assessment. You will be asked to share your knowledge of the development of number sense and use of number relationships. You can strengthen your knowledge by reviewing the lessons in their video or transcript formats. If you want to watch specific portions of the videos, use timelines with video tags that let you identify and jump to key topics. Test your comprehension of the lessons by taking self-assessment quizzes.

This PLACE assessment is designed to ensure educators are prepared to teach elementary students in Colorado classrooms. The tests typically consist of 100 multiple-choice questions and last four hours and 30 minutes. To pass, you must earn a minimum score of 220.

### 1. Teaching Numeration & Number Sense to Children

Numeration is the concept of counting, essential to developing number sense, the ability to ascribe numbers to concrete problems. Learn the levels of number sense, and how they are taught to different grades.

### 2. What are the Different Types of Numbers?

There are different types or families of numbers. Learn how to identify natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.

### 3. What are Real Numbers? - Definition & Properties

All real numbers follow three main rules: they can be measured, valued, and manipulated. Learn about various types of real numbers, like whole numbers, rational numbers, and irrational numbers, and explore their properties.

### 4. How to Perform Addition: Steps & Examples

Addition is a mathematical operation in which two or more numbers or quantities are combined together. Know the definition of addition, learn how to add, and explore the steps and examples of adding more than two numbers.

### 5. How to Perform Subtraction: Steps & Examples

Subtraction is a basic mathematical operation that involves one number taking value away from another number. Learn about the definition of subtraction and explore examples of how to perform subtraction and also the steps for subtracting two or more numbers from another number.

### 6. How to Perform Multiplication: Steps & Examples

Multiplication is a basic mathematical operation that involves the number of times a number or quantity should be added to itself. Learn about multiplication and explore the steps and examples of multiplying two or more numbers.

### 7. How to Perform Division: Steps & Examples

A basic mathematical operation, performing division involves separating numbers or quantities and sometimes results in remainders. Learn about the definition of division, the symbols used for division with and without a remainder, and explore examples of the steps for dividing two quantities.

### 8. Rounding Numbers to the Nearest 1000, 10,000 & 100,000

Rounding numbers to the nearest 1,000, 10,000, and 100,000 is a useful tool when working with large numbers. Review the function of rounding numbers, and then learn how to round to the nearest 1,000, 10,000, and 100,000.

### 9. What is an Algorithm? - Definition & Examples

An algorithm is defined as a specific list of instructions used to solve problem or complete tasks. Examine how to write algorithms and explore examples of how they can be used in real life and in math and computer science.

### 10. Mathematical Terminology, Concepts & Notation

Have you ever thought that math was too hard to understand, or ever made the statement, ''I just don't get it?'' Maybe the trouble is you don't understand the language. This lesson will break down some of the language of math's most common words and translate it to 'English' for you.

### 11. Translating Words Into Math Symbols

Different math symbols ('+', '-', '/', and '*') can each be expressed through a variety of words in text math problems. Learn how to translate word problems into math equations based on the individual words for specific math symbols.

### 12. Solving Mathematical Problems Using Estimation

When you are busy it is easy to accidentally get behind and end up late for appointments and using estimating in things like time can help make sure this doesn't happen. Learn more about solving mathematical problems using estimation.

### 13. Mental Math: Addition and Subtraction

Mental math is the ability to do math problems in your head, without the use of a calculator. In this lesson, learn how to add and subtract mathematical problems using only brain power with the help of an example.

### 14. Mental Math: Multiplication and Division

The ability to do calculations in one's head through mental math is a good skill to learn. Practice doing mental math with multiplication, and division problems to simplify problems and arrive at approximate or even exact solutions.

### 15. Reasoning in Mathematics: Inductive and Deductive Reasoning

Inductive and deductive reasoning are two methods of reasoning used in mathematics. Explore the definitions of inductive and deductive reasoning, review examples of each in action, and learn when and how to use them.

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### Other Chapters

Other chapters within the PLACE Elementary Education: Practice & Study Guide course

- PLACE Elementary Education: Literacy Development
- PLACE Elementary Education: Reading Strategies
- PLACE Elementary Education: Communication Strategies
- PLACE Elementary Education: Conventions & Spelling
- PLACE Elementary Education: Verbs, Tenses & Agreement
- PLACE Elementary Education: Research Skills
- PLACE Elementary Education: Literary Genres & Terms
- PLACE Elementary Education: Technology Basics
- PLACE Elementary Education: Technology & Society
- PLACE Elementary Education: Scientific Investigation
- PLACE Elementary Education: Physical Science
- PLACE Elementary Education: Life Science
- PLACE Elementary Education: Earth Science
- PLACE Elementary Education: Fractions, Decimals & Percents
- PLACE Elementary Education: Patterns & Functions
- PLACE Elementary Education: Equalities & Inequalities
- PLACE Elementary Education: Statistics & Probability
- PLACE Elementary Education: Geometry
- PLACE Elementary Education: Measurement & Calculations
- PLACE Elementary Education: Foundations of Geography
- PLACE Elementary Education: US History (1400-1877)
- PLACE Elementary Education: US History (1877-1945)
- PLACE Elementary Education: US History from 1945
- PLACE Elementary Education: Colorado History
- PLACE Elementary Education: Culture & Society
- PLACE Elementary Education: Economics
- PLACE Elementary Education: Government
- PLACE Elementary Education: Global Concerns
- PLACE Elementary Education: Social Studies Research
- PLACE Elementary Education: Principles of Music
- PLACE Elementary Education: Visual & Performing Arts
- PLACE Elementary Education: Personal Health & Safety
- PLACE Elementary Education: Public Health
- PLACE Elementary Education: Physical Fitness
- PLACE Elementary Education Flashcards