Multiplying and Dividing by Powers of 10
|
|
- Morris Park
- 6 years ago
- Views:
Transcription
1 Multiplying and Dividing by Powers of 10 1.) Complete stations A-F around the room. Copy each problem and answer it below. Problem A B C D E F Answer = = = = = = 2.) Where is the decimal point in a whole number? It is to the RIGHT of the whole number. Ex: 6 = 6. 3.) What patterns do you notice in A, B, C? (Hint: Look at the problem compared to the answer.) There is an extra zero each time. Each time, it s getting 10 times bigger. The decimal moves to the right once each time. 4.) What patterns do you notice in D, E, F? (Hint: Look at the problem compared to the answer.) Each time the decimal moves to the right, the same number of spaces as there are zeros in the power of ten. 5.) Write down a rule (in your own words) that decimal point every time you multiply a number by 10: The decimal goes to the right once.
2 6.) Write down a rule (in your own words) that decimal point every time you multiply by 100. You move it twice to the right. 7.) Write down a rule (in your own words) that decimal point every time you multiply by 1,000. It moves over three times to the right. 8.) What will be the rule for multiplying by 10,000? If you multiply by 10,000, you ll move the decimal four times to the right. 9.) Complete the rest of the stations around the room. Copy each problem and answer it below. Problem G H I J K L Answer = = = = = = 10.) What patterns do you notice in G, H, and I? (Hint: Look at the problem compared to the answer.) The numbers get 10 or 100 times smaller. The decimal moves to the left. 11.) What patterns do you notice in J, K, and L? (Hint: Look at the problem compared to the answer.) The numbers get 10 or 100 times smaller. The decimal moves to the left.
3 12.) Write down a rule (in your own words) that decimal point every time you divide a number by 10. It moves to the left one space. (It gets 10 times smaller.) 13.) Write down a rule (in your own words) that decimal point every time you divide a number by 100. It moves to the left two spaces. (It gets 100 times smaller.) Glue Rules Here:
4 Multiplying and Dividing by Powers of 10 1.) Complete stations A-F around the room. Copy each problem and answer it below. Problem A B C D E F Answer = = = = = = 2.) Where is the decimal point in a whole number? 3.) What patterns do you notice in A, B, C? (Hint: Look at the problem compared to the answer.) 4.) What patterns do you notice in D, E, F? (Hint: Look at the problem compared to the answer.) 5.) Write down a rule (in your own words) that decimal point every time you multiply a number by 10:
5 6.) Write down a rule (in your own words) that decimal point every time you multiply by ) Write down a rule (in your own words) that decimal point every time you multiply by 1, ) What will be the rule for multiplying by 10,000? 9.) Complete the rest of the stations around the room. Copy each problem and answer it below. Problem G H I J K L Answer = = = = = = 10.) What patterns do you notice in G, H, and I? (Hint: Look at the problem compared to the answer.)
6 11.) What patterns do you notice in J, K, and L? (Hint: Look at the problem compared to the answer.) 12.) Write down a rule (in your own words) that decimal point every time you divide a number by ) Write down a rule (in your own words) that decimal point every time you divide a number by 100. Glue Rules Here:
7 Final Rules to Glue: Multiplication Rule: To multiply a number by 10, 100, 1000, move the decimal point to the RIGHT as many places as there are ZEROS in the power of ten. Division Rule: To divide a number by 10, 100, 1000, move the decimal point to the LEFT as many places as there are ZEROS in the power of ten. Multiplication Rule: To multiply a number by 10, 100, 1000, move the decimal point to the RIGHT as many places as there are ZEROS in the power of ten. Division Rule: To divide a number by 10, 100, 1000, move the decimal point to the LEFT as many places as there are ZEROS in the power of ten. Multiplication Rule: To multiply a number by 10, 100, 1000, move the decimal point to the RIGHT as many places as there are ZEROS in the power of ten. Division Rule: To divide a number by 10, 100, 1000, move the decimal point to the LEFT as many places as there are ZEROS in the power of ten.
8 Problem A 12 x 10 = Problem B 12 x 100 = Problem C 12 x 1,000 = Problem D x 10 = Problem E x 100 = Problem F x 1,000 = Problem G = Problem H = Problem I = Problem J = Problem K = Problem L =
9 Problem A 12 x 10 = Problem B 12 x 100 =
10 Problem C 12 x 1,000 = Problem D x 10 =
11 Problem E x 100 = Problem F x 1,000 =
12 Problem G = Problem H =
13 Problem I = Problem J =
14 Problem K = Problem L =
Fractions Decimals Percents
1 Fractions Decimals Percents Name TAG 2 Fractions to Decimals There are ways to convert fractions to decimals. 1. Use place value 2. Using equivalent fractions with denominators of,, 0, etc.. Use long
More informationLesson 9: Decimal Expansions of Fractions, Part 1
Classwork Opening Exercises 1 2 1. a. We know that the fraction can be written as a finite decimal because its denominator is a product of 2 s. Which power of 10 will allow us to easily write the fraction
More informationRev Name Date. . Round-off error is the answer to the question How wrong is the rounded answer?
Name Date TI-84+ GC 7 Avoiding Round-off Error in Multiple Calculations Objectives: Recall the meaning of exact and approximate Observe round-off error and learn to avoid it Perform calculations using
More informationStudent Success Center Arithmetic Study Guide for the ACCUPLACER (CPT)
Fractions Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole (the number on the bottom) is parts have a dot out of Proper fraction:
More informationSet up and use a proportion
Daily Do Question from last class Set up and use a proportion If you are driving 70 miles per hour and you have 280 miles to go on the highway part of your trip. How long will it take? adding, subtracting,
More informationAdding and Subtracting with Decimals
Adding and Subtracting with Decimals Before you can add or subtract numbers with decimals, all the decimal points must be lined up. (It will help if you use zeros to fill in places so that the numbers
More informationChapter 1 Section 1 Lesson: Solving Linear Equations
Introduction Linear equations are the simplest types of equations to solve. In a linear equation, all variables are to the first power only. All linear equations in one variable can be reduced to the form
More informationSection 3.1 Fractions to Decimals
Section 3.1 Fractions to Decimals A fraction is a part of a whole. For example, it means 1 out of 5 possible pieces. is a fraction; Fractions also illustrate division. For example, also means 1 5 which
More informationTopic 2: Decimals. Topic 1 Integers. Topic 2 Decimals. Topic 3 Fractions. Topic 4 Ratios. Topic 5 Percentages. Topic 6 Algebra
41 Topic 2: Decimals Topic 1 Integers Topic 2 Decimals Topic 3 Fractions Topic 4 Ratios Duration 1/2 week Content Outline Introduction Addition and Subtraction Multiplying and Dividing by Multiples of
More informationSecure understanding of multiplication of whole numbers by 10, 100 or 1000.
Secure understanding of multiplication of whole numbers by 10, 100 or 1000. Begin to identify common factors. Identify multiples and factors, including finding all factor pairs of a number, and common
More information3. [Decimal, ]
3. [Decimal, ] Skill 3.1 Multiplying a decimal number by a whole number. Ignore any decimal points and complete the multiplication from right to left. Count the number of decimal places in the question.
More informationExample 2: Simplify each of the following. Round your answer to the nearest hundredth. a
Section 5.4 Division with Decimals 1. Dividing by a Whole Number: To divide a decimal number by a whole number Divide as you would if the decimal point was not there. If the decimal number has digits after
More informationBasic and Intermediate Math Vocabulary Spring 2017 Semester
Digit A symbol for a number (1-9) Whole Number A number without fractions or decimals. Place Value The value of a digit that depends on the position in the number. Even number A natural number that is
More informationNotes for Unit 1 Part A: Rational vs. Irrational
Notes for Unit 1 Part A: Rational vs. Irrational Natural Number: Whole Number: Integer: Rational Number: Irrational Number: Rational Numbers All are Real Numbers Integers Whole Numbers Irrational Numbers
More informationOctal & Hexadecimal Number Systems. Digital Electronics
Octal & Hexadecimal Number Systems Digital Electronics What, More Number Systems? Why do we need more number systems? Humans understand decimal Check out my ten digits! Digital electronics (computers)
More informationWhat is a Fraction? Fractions. One Way To Remember Numerator = North / 16. Example. What Fraction is Shaded? 9/16/16. Fraction = Part of a Whole
// Fractions Pages What is a Fraction? Fraction Part of a Whole Top Number? Bottom Number? Page Numerator tells how many parts you have Denominator tells how many parts are in the whole Note: the fraction
More informationMA 1128: Lecture 02 1/22/2018
MA 1128: Lecture 02 1/22/2018 Exponents Scientific Notation 1 Exponents Exponents are used to indicate how many copies of a number are to be multiplied together. For example, I like to deal with the signs
More informationUnit 2: Accentuate the Negative Name:
Unit 2: Accentuate the Negative Name: 1.1 Using Positive & Negative Numbers Number Sentence A mathematical statement that gives the relationship between two expressions that are composed of numbers and
More informationMATH REVIEW SUPPLEMENT. For The ARITHMETIC SECTION. of the. ACCUPLACER Entry Assessment
Assessment Center MATH REVIEW SUPPLEMENT For The ARITHMETIC SECTION of the ACCUPLACER Entry Assessment Visit The Assessment Center At http://www.stlcc.cc.mo.us/mc/services/assess/index.html This document
More informationBITWISE OPERATORS. There are a number of ways to manipulate binary values. Just as you can with
BITWISE OPERATORS There are a number of ways to manipulate binary values. Just as you can with decimal numbers, you can perform standard mathematical operations - addition, subtraction, multiplication,
More informationToday is the last day to register for CU Succeed account AND claim your account. Tuesday is the last day to register for my class
Today is the last day to register for CU Succeed account AND claim your account. Tuesday is the last day to register for my class Back board says your name if you are on my roster. I need parent financial
More informationSignificant Figures & Scientific Notation
Significant Figures & Scientific Notation Measurements are important in science (particularly chemistry!) Quantity that contains both a number and a unit Must be able to say how correct a measurement is
More informationThe following notation will be used in the explanations:
In the following slides some geometry basics will be presented: Finding the center of a circle/arc Construct a circle from three points Finding the min/max distance between a point and circle/arc page
More information2.1 Transforming Linear Functions
2.1 Transforming Linear Functions Before we begin looking at transforming linear functions, let s take a moment to review how to graph linear equations using slope intercept form. This will help us because
More informationFraction to Percents Change the fraction to a decimal (see above) and then change the decimal to a percent (see above).
PEMDAS This is an acronym for the order of operations. Order of operations is the order in which you complete problems with more than one operation. o P parenthesis o E exponents o M multiplication OR
More informationSection 3.2 Comparing and Ordering Fractions and Decimals. 1. Model fractions and/or decimals using blocks, fraction pieces, pattern blocks, etc.
Section 3.2 Comparing and Ordering Fractions and Decimals We will use several methods to compare and order fractions: 1. Model fractions and/or decimals using blocks, fraction pieces, pattern blocks, etc.
More information2 A little on Spreadsheets
2 A little on Spreadsheets Spreadsheets are computer versions of an accounts ledger. They are used frequently in business, but have wider uses. In particular they are often used to manipulate experimental
More informationSOLVING SYSTEMS OF EQUATIONS
SOLVING SYSTEMS OF EQUATIONS GRAPHING System of Equations: 2 linear equations that we try to solve at the same time. An ordered pair is a solution to a system if it makes BOTH equations true. Steps to
More informationOA: Operations and Algebraic Thinking
OA: Operations and Algebraic Thinking I can write and explain the meaning of a multiplication equation. 4.OA.1 I can create and solve multiplication equations that compare two sets. 4.OA.1 I can represent
More informationhp calculators HP 20b Using Memories to Solve Problems Constant memory and planning Memory registers Other memory locations
HP 20b Using Memories to Solve Problems Constant memory and planning Memory registers Other memory locations Understanding register arithmetic Viewing register contents Clearing memories Practice using
More informationCS & IT Conversions. Magnitude 10,000 1,
CS & IT Conversions There are several number systems that you will use when working with computers. These include decimal, binary, octal, and hexadecimal. Knowing how to convert between these number systems
More information- 0.8.00-0.8. 7 ANSWERS: ) : ) : ) : ) : 8 RATIO WORD PROBLEM EXAMPLES: Ratio Compares two amounts or values; they can be written in ways. As a fraction With a colon : With words to A classroom has girls
More informationadd and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
I created these worksheets because I think it is useful to have regular practice of calculation methods away from the point of teaching. There are worksheets. Questions are aligned to the Year curriculum,
More informationFraction Arithmetic. A proper fraction is a fraction with a smaller numerator than denominator.
Fraction Arithmetic FRAX is a game that is designed to help you and your student/child master fractions, but it does not teach them the basics. I ve put together this document to help remind you about
More informationFifth Grade Math Rubric
Operations and Algebraic Thinking Support Needed Progressing Meets Writes, solves, and interprets numerical expressions guidance with and/or inconsistently writes, solves, and interprets numerical expressions.
More informationChapter 4 Section 2 Operations on Decimals
Chapter 4 Section 2 Operations on Decimals Addition and subtraction of decimals To add decimals, write the numbers so that the decimal points are on a vertical line. Add as you would with whole numbers.
More information1-3 Multiplying and Dividing Real Numbers
Multiplying and Dividing 1-3 Multiplying and Dividing Real Numbers Real Numbers Warm Up Lesson Presentation Lesson Quiz 1 2 pts Bell Quiz 1-3 Add or Subtract 1. 3 8 2 pts 2. - 8 + 12 2 pts 3. 4 (-4) 2
More informationAccuplacer Arithmetic Study Guide
Accuplacer Arithmetic Study Guide I. Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole (the number on the bottom) Example: parts
More informationMath-3 Lesson 3-6 Analyze Rational functions The Oblique Asymptote
Math- Lesson - Analyze Rational functions The Oblique Asymptote Quiz: a What is the domain? b Where are the holes? c What is the vertical asymptote? y 4 8 8 a -, b = c = - Last time Zeroes of the numerator
More informationTo be able to count up and down in tenths
Progression Grid: Year Year 2 Year 3 Year Year Year 6 Counting in Fractional steps To be able to count in fractions up to 0, starting from any number and using the/2 and 2/ equivalence on the number line
More informationDECIMALS are special fractions whose denominators are powers of 10.
Ch 3 DECIMALS ~ Notes DECIMALS are special fractions whose denominators are powers of 10. Since decimals are special fractions, then all the rules we have already learned for fractions should work for
More informationKansas City Area Teachers of Mathematics 2015 KCATM Math Competition. Numbers and Operations GRADE 5 NO CALCULATOR
Kansas City Area Teachers of Mathematics 05 KCATM Math Competition Numbers and Operations GRADE 5 NO CALCULATOR INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 5 minutes You
More informationRadicals and Fractional Exponents
Radicals and Roots Radicals and Fractional Exponents In math, many problems will involve what is called the radical symbol, n X is pronounced the nth root of X, where n is 2 or greater, and X is a positive
More informationExponential Notation
Exponential Notation INTRODUCTION Chemistry as a science deals with the qualitative and quantitative aspects of substances. In the qualitative part, we deal with the general and specific properties of
More informationUnit 1 Integers, Fractions & Order of Operations
Unit 1 Integers, Fractions & Order of Operations In this unit I will learn Date: I have finished this work! I can do this on the test! Operations with positive and negative numbers The order of operations
More informationFROM FRACTIONS TO DECIMALS (V2) WARM UP!
FROM FRACTIONS TO DECIMALS (V2) LAMC INTERMEDIATE GROUP - 10/06/13 WARM UP! The instructors have been noticing some strange coincidences. Determine whether each of the following observations were indeed
More informationDecimals Outcomes. Represent Q Using Decomposition
1 Decimals Outcomes Represent addition, subtraction, multiplication, and division in Q using number lines and decomposition. Perform addition, subtraction, multiplication, and division in Q. Convert between
More informationUnit 7 Number System and Bases. 7.1 Number System. 7.2 Binary Numbers. 7.3 Adding and Subtracting Binary Numbers. 7.4 Multiplying Binary Numbers
Contents STRAND B: Number Theory Unit 7 Number System and Bases Student Text Contents Section 7. Number System 7.2 Binary Numbers 7.3 Adding and Subtracting Binary Numbers 7.4 Multiplying Binary Numbers
More informationCommon constructions (algebraic expressions) for 2 types. 1. one side is 4 ft more than the other side. 2. there are twice as many children as adults
Common constructions (algebraic expressions) for 2 types 35 1. one side is 4 ft more than the other side 2. there are twice as many children as adults 3. there are 10 coins total Solving for 2 types using
More informationLecture 8: Addition, Multiplication & Division
Lecture 8: Addition, Multiplication & Division Today s topics: Signed/Unsigned Addition Multiplication Division 1 Signed / Unsigned The hardware recognizes two formats: unsigned (corresponding to the C
More informationDecimals. Chapter Five
Chapter Five Decimals 5.1 Introductions to Decimals 5.2 Adding & Subtracting Decimals 5.3 Multiplying Decimals & Circumference of a Circle 5.4 Dividing Decimals 5.5 Fractions, Decimals, & Order of Operations
More informationI can statements for NBT 1-7 1st attempt 2nd attempt mastered
MATH NAME: I can statements for OA1-3 1st attempt Date 2nd attempt Date Mastered statement I can write expressions using parenthesis, brackets and braces based on wording such as add 5 and then divide
More informationName: Date: Review Packet: Unit 1 The Number System
Name: Date: Math 7 Ms. Conway Review Packet: Unit 1 The Number System Key Concepts Module 1: Adding and Subtracting Integers 7.NS.1, 7.NS.1a, 7.NS.1b, 7.NS.1c, 7.NS.1d, 7.NS.3, 7.EE.3 To add integers with
More informationCalculations with Sig Figs
Calculations with Sig Figs When you make calculations using data with a specific level of uncertainty, it is important that you also report your answer with the appropriate level of uncertainty (i.e.,
More informationTopic 3: Fractions. Topic 1 Integers. Topic 2 Decimals. Topic 3 Fractions. Topic 4 Ratios. Topic 5 Percentages. Topic 6 Algebra
Topic : Fractions Topic Integers Topic Decimals Topic Fractions Topic Ratios Topic Percentages Duration / weeks Content Outline PART (/ week) Introduction Converting Fractions to Decimals Converting Decimals
More information1.- DECIMAL PLACE VALUE: tenths, hundredths, thousandths. 1.1 Ordering decimals. 1.2 Rounding CALCULATIONS. 2.- ADDITION AND SUBTRACTION OF DECIMALS
1 1.- DECIMAL PLACE VALUE: tenths, hundredths, thousandths. 1.1 Ordering decimals. 1.2 Rounding CALCULATIONS. 2.- ADDITION AND SUBTRACTION OF DECIMALS 3.- MULTIPLICATION AND DIVISION. 3.1 Multiplication
More information6.1 Evaluate Roots and Rational Exponents
VOCABULARY:. Evaluate Roots and Rational Exponents Radical: We know radicals as square roots. But really, radicals can be used to express any root: 0 8, 8, Index: The index tells us exactly what type of
More informationExponential Numbers ID1050 Quantitative & Qualitative Reasoning
Exponential Numbers ID1050 Quantitative & Qualitative Reasoning In what ways can you have $2000? Just like fractions, you can have a number in some denomination Number Denomination Mantissa Power of 10
More informationNumber Systems MA1S1. Tristan McLoughlin. November 27, 2013
Number Systems MA1S1 Tristan McLoughlin November 27, 2013 http://en.wikipedia.org/wiki/binary numeral system http://accu.org/index.php/articles/1558 http://www.binaryconvert.com http://en.wikipedia.org/wiki/ascii
More information7.NS.2d Decimal Expansions of
7.NS.2d Decimal Expansions of Fractions Alignments to Content Standards: 7.NS.A.2.d Task Sarah learned that in order to change a fraction to a decimal, she can use the standard division algorithm and divide
More informationBinary, Hexadecimal and Octal number system
Binary, Hexadecimal and Octal number system Binary, hexadecimal, and octal refer to different number systems. The one that we typically use is called decimal. These number systems refer to the number of
More informationDublin Unified School District Suggested Pacing Guide for Grade 2 Text: Scott Foresman-Addison Wesley envision Math
Trimester 1 8 Topic 1: Understanding Addition and Subtraction 1 1-1: s: Writing Addition Sentences, 1 1-2: s: Stories About Joining AF 1.0,, 1 1-3: s: Writing Subtraction Sentences, 1 1-4: s: Stories About
More informationA. Incorrect! You rounded to the nearest ten instead of the nearest tenth. B. Incorrect! Review how to round decimal numbers and try again.
Pre-Algebra - Problem Drill 06: Decimals and Equations Question No. 1 of 10 1. Round the number to the nearest tenth: 275.183 Question #01 (A) 280 (B) 275.1 (C) 275.2 (D) 275.18 (E) 275.19 You rounded
More informationCPS 104 Computer Organization and Programming
CPS 104 Computer Organization and Programming Lecture 9: Integer Arithmetic. Robert Wagner CPS104 IMD.1 RW Fall 2000 Overview of Today s Lecture: Integer Multiplication and Division. Read Appendix B CPS104
More informationAdding and subtracting rational expressions is quite similar to adding and subtracting rational numbers (fractions).
7.2: Adding and Subtracting Rational Expressions, Simplifying Complex Fractions Adding and subtracting rational expressions is quite similar to adding and subtracting rational numbers (fractions). Adding
More informationMedical Dosage Calculations
Medical Dosage Calculations Ninth Edition Chapter 1 Review of Arithmetic for Medical Dosage Calculations Learning Outcomes 1. Convert decimal numbers to fractions. 2. Convert fractions to decimal numbers.
More informationUnit 3: Rational Numbers ANSWER KEY
Unit : ANSWER KEY The following unit includes: Adding/Subtracting Integers on a Number Line Adding/Subtracting Integers with Rules Multiplying/Dividing Integers Adding/Subtracting Decimals Multiplying
More informationModular Arithmetic. Marizza Bailey. December 14, 2015
Modular Arithmetic Marizza Bailey December 14, 2015 Introduction to Modular Arithmetic If someone asks you what day it is 145 days from now, what would you answer? Would you count 145 days, or find a quicker
More informationOctal and Hexadecimal Integers
Octal and Hexadecimal Integers CS 350: Computer Organization & Assembler Language Programming A. Why? Octal and hexadecimal numbers are useful for abbreviating long bitstrings. Some operations on octal
More informationDLD VIDYA SAGAR P. potharajuvidyasagar.wordpress.com. Vignana Bharathi Institute of Technology UNIT 1 DLD P VIDYA SAGAR
UNIT I Digital Systems: Binary Numbers, Octal, Hexa Decimal and other base numbers, Number base conversions, complements, signed binary numbers, Floating point number representation, binary codes, error
More informationHOW TO DIVIDE: MCC6.NS.2 Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE
MCC6.NS. Fluently divide multi-digit numbers using the standard algorithm. WORD DEFINITION IN YOUR WORDS EXAMPLE Dividend A number that is divided by another number. Divisor A number by which another number
More informationArithmetic and Bitwise Operations on Binary Data
Arithmetic and Bitwise Operations on Binary Data CSCI 2400: Computer Architecture ECE 3217: Computer Architecture and Organization Instructor: David Ferry Slides adapted from Bryant & O Hallaron s slides
More informationUnit 5, Lesson 8: Calculating Products of Decimals
Unit 5, Lesson 8: Calculating Products of Decimals Lesson Goals Required Materials Use an algorithm to calculate products of decimals. Understand how a multiplication algorithm works. 8.1: Number Talk:
More informationProject 3: RPN Calculator
ECE267 @ UIC, Spring 2012, Wenjing Rao Project 3: RPN Calculator What to do: Ask the user to input a string of expression in RPN form (+ - * / ), use a stack to evaluate the result and display the result
More informationNumber Systems Using and Converting Between Decimal, Binary, Octal and Hexadecimal Number Systems
Number Systems Using and Converting Between Decimal, Binary, Octal and Hexadecimal Number Systems In everyday life, we humans most often count using decimal or base-10 numbers. In computer science, it
More informationFor Module 2 SKILLS CHECKLIST. Fraction Notation. George Hartas, MS. Educational Assistant for Mathematics Remediation MAT 025 Instructor
Last Updated: // SKILLS CHECKLIST For Module Fraction Notation By George Hartas, MS Educational Assistant for Mathematics Remediation MAT 0 Instructor Assignment, Section. Divisibility SKILL: Determine
More informationPROBLEM OF ERRORS IN CALCULATION : A NEW CONCEPT OF DECIMAL
PROBLEM OF ERRORS IN CALCULATION : A NEW CONCEPT OF DECIMAL THE PROBLEM: Divide the number 10 by number 3. What you would get? The answer is 3.33333..333., where, after decimal point (.), 3 is goes on
More informationNumbers and their bases
Numbers and their bases Information on computers are all represented as numbers. For example, ord( a ) == 97, ord( + ) == 43 (See ASCII table). All audio, video, and photos are represented as numbers.
More informationChapter 1 An Introduction to Computer Science. INVITATION TO Computer Science 1
Chapter 1 An Introduction to Computer Science INVITATION TO Computer Science 1 Q8. Under what conditions would the well-known quadratic formula not be effectively computable? (Assume that you are working
More information3.1 Using Exponents to Describe Numbers
.1 Using to Describe Numbers Represent repeated multiplication with exponents Describe how powers represent repeated multiplication Demonstrate the difference between the exponent and the base by building
More informationSection A Arithmetic ( 5) Exercise A
Section A Arithmetic In the non-calculator section of the examination there might be times when you need to work with quite awkward numbers quickly and accurately. In particular you must be very familiar
More informationAdding and Subtracting Integers
Quarterly 1 Review Sheet (NOTE: This may not include everything you need to know for tomorrow about every topic. It is student created and I am just sharing it in case you find it helpful) Page 1: Adding
More informationSimplifying Expressions UNIT 1 Warm-Up A. 1) Find the least common multiple. a) 2 and 6 b) 7 and 5 c) 4 and 6
Simplifying Expressions UNIT 1 Warm-Up A 1) Find the least common multiple. a) 2 and 6 b) 7 and 5 c) 4 and 6 2) Write the equivalent fraction. a) b) c) 3) Write with common denominators. a) b) 4) Reduce
More informationNumber systems and binary
CS101 Fundamentals of Computer and Information Sciences LIU 1 of 8 Number systems and binary Here are some informal notes on number systems and binary numbers. See also sections 3.1 3.2 of the textbook.
More informationOnly to be used for arranged hours. Order of Operations
Math 84 Activity # 1 Your name: Order of Operations Goals: 1) Evaluate Real numbers with Exponents. ) Use the Order of Operations to Evaluate Expressions. ) Review Exponents and Powers of Ten Integer exponents
More informationSigned Multiplication Multiply the positives Negate result if signs of operand are different
Another Improvement Save on space: Put multiplier in product saves on speed: only single shift needed Figure: Improved hardware for multiplication Signed Multiplication Multiply the positives Negate result
More informationModule 2: Computer Arithmetic
Module 2: Computer Arithmetic 1 B O O K : C O M P U T E R O R G A N I Z A T I O N A N D D E S I G N, 3 E D, D A V I D L. P A T T E R S O N A N D J O H N L. H A N N E S S Y, M O R G A N K A U F M A N N
More informationor 5.00 or 5.000, and so on You can expand the decimal places of a number that already has digits to the right of the decimal point.
1 LESSON Understanding Rational and Irrational Numbers UNDERSTAND All numbers can be written with a For example, you can rewrite 22 and 5 with decimal points without changing their values. 22 5 22.0 or
More informationWJEC MATHEMATICS INTERMEDIATE NUMBER STANDARD FORM
WJEC MATHEMATICS INTERMEDIATE NUMBER STANDARD FORM 1 Contents Expressing numbers in standard form Adjusting numbers in standard form Calculations using standard form #1: Multiplication Calculations using
More informationLearning Log Title: CHAPTER 3: ARITHMETIC PROPERTIES. Date: Lesson: Chapter 3: Arithmetic Properties
Chapter 3: Arithmetic Properties CHAPTER 3: ARITHMETIC PROPERTIES Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 3: Arithmetic Properties Date: Lesson: Learning Log Title:
More informationMath Notes and Example Problems Lesson 2.1 Integers
Name Warm-up: Math Notes and Example Problems Lesson 2.1 Integers Textbook p. 46-47 Today s Goal: Learn to compare and order integers and to determine absolute value. The, or additive inverse, of a number
More informationAdvanced Algebra I Simplifying Expressions
Page - 1 - Name: Advanced Algebra I Simplifying Expressions Objectives The students will be able to solve problems using order of operations. The students will identify expressions and write variable expressions.
More informationLearning Log Title: CHAPTER 3: PORTIONS AND INTEGERS. Date: Lesson: Chapter 3: Portions and Integers
Chapter 3: Portions and Integers CHAPTER 3: PORTIONS AND INTEGERS Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 3: Portions and Integers Date: Lesson: Learning Log Title:
More informationFractions. There are several terms that are commonly used when working with fractions.
Chapter 0 Review of Arithmetic Fractions There are several terms that are commonly used when working with fractions. Fraction: The ratio of two numbers. We use a division bar to show this ratio. The number
More informationThousands. Hundreds. Tenths. Ones. Tens. Hundredths. Decimal Point. Thousandths. Place Value. 1000s 100s 10s 1s.
Place Value Thousandths Hundredths Tenths Decimal Point Ones Tens Hundreds Thousands 000s 00s 0s s. 0 00 000 Know the meanings of these column headings is very important. It tells us the value of each
More informationBinary the Digital Language
College of DuPage DigitalCommons@C.O.D. Computer and Internetworking Technologies (CIT) Scholarship Computer Science 7-1-2012 Binary the Digital Language Clyde Cox College of DuPage, coxclyde@cod.edu Follow
More informationCOUNTING AND CONVERTING
COUNTING AND CONVERTING The base of each number system is also called the radix. The radix of a decimal number is ten, and the radix of binary is two. The radix determines how many different symbols are
More informationChapter 5: Computer Arithmetic. In this chapter you will learn about:
Slide 1/29 Learning Objectives In this chapter you will learn about: Reasons for using binary instead of decimal numbers Basic arithmetic operations using binary numbers Addition (+) Subtraction (-) Multiplication
More informationHi. I m a three. I m always a three. I never ever change. That s why I m a constant.
Lesson 1-1: 1 1: Evaluating Expressions Hi. I m a three. I m always a three. I never ever change. That s why I m a constant. 3 Real life changes, though. So to talk about real life, math needs things that
More informationSection 2C Formulas with Dividing Decimals
Section 2C Formulas with Dividing Decimals x Look at the following z-score formula again from statistics. z. Suppose we want to calculate the z-score if x 17.6 pounds, 1.8 pounds, and 2.5 pounds. Not only
More information