This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.

Slides:



Advertisements
Similar presentations
Remainders When we solve a division calculation there is often a remainder. What we do with the remainder depends on the question asked. When faced with.
Advertisements

Division of whole numbers September Kindly contributed by Joaquin Llorente, Trafford College. Search for Joaquin on
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
Lesson 1-5 Solving Inequalities September Objective:
Transparency 3 Click the mouse button or press the Space Bar to display the answers.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
long short Division space saver
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
The decimal point helps us to keep track of where the "ones" place is.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
Math 009 Unit 4 Lesson 1.
This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed.
Mathematics Short & Long Division.
Problem of the Day Problem of the Day Division next.
Exponents Scientific Notation
Fractions and Decimals
Binary Arithmetic Math For Computers.
Everyday Math Grade 4 – Lesson 6.2 Long Division
4/21/2017 Decimals In our number system, digits can be placed to the left and right of a decimal point, to indicate numbers greater than one or less than.
{ Lesson 5.05 Module 5 Activity.  Solve the equation  Solve the equation –x + 3 > 7. The first step in solving this inequality is to “isolate” the variable.
5th Grade Division Mrs. Berish.
Short Division.
Multiplication and Division. Steps 1) Multiply 2) Count place values 3) Move the decimal left that number of spaces.
46: Indices and Laws of Logarithms
Mathematics and Scientific Thinking Chapter 1 Lesson 3 Page 22.
Example 2 Infinite Solutions Example 3 No Solution
Transparency 3 Click the mouse button or press the Space Bar to display the answers.
Transparency 1 Click the mouse button or press the Space Bar to display the answers.
Division A way to introduce and practice division number stories.
How a Computer Processes Information. Java – Numbering Systems OBJECTIVE - Introduction to Numbering Systems and their relation to Computer Problems Review.
Visualizing Decimal and Binary
Solving Inequalities Using Addition & Subtraction.
Significant Figure Rules RulesExamples The following are always significant Non zero digits Zeros between non zero digits Zero to the right of a non zero.
Transparency 3 Click the mouse button or press the Space Bar to display the answers.
FRACTIONS ON THE ABACUS
The Remainder Theorem A-APR 2 Explain how to solve a polynomial by factoring.
What To Do With Remainders
Lesson 1.4 Equations and Inequalities Goal: To learn how to solve equations and check solutions of equations and inequalities.
Transparency 9 Click the mouse button or press the Space Bar to display the answers.
PowerPoint created by Parsheena Berch Resource : JBHM material Pictures: Google Images.
Math Review Quarter 2. Models of Division In order to divide multi-digit whole numbers, we learned these strategies: (You’ll see these on the test) –Area.
Music You buy a used guitar for $50. You then pay $10 for each of 5 guitar lessons. The total cost can be found by evaluating the expression 
A reminder about place value Have a look at the number hundreds 2 tens 3 units 6 is the hundreds digit. 2 is the tens digit.
Number systems Visualizing Decimal and Binary. We count in base 10 because people started by counting on their fingers Base 10 is a number system that.
Division of Polynomials
Decimals.
Click the mouse button or press the Space Bar to display the answers.
Fractions and Decimals
LearnZillion Notes: --This is your hook. Start with a question to draw the student in. We want that student saying, “huh, how do you do X?” Try to be specific.
LearnZillion Notes: --This is your hook. Start with a question to draw the student in. We want that student saying, “huh, how do you do X?” Try to be specific.
Fractions Pages 8 – 59.
Fractions and Decimals
Multiplication Multiplying 3 or more digits by 2 digits.
Welcome to Interactive Chalkboard
Year 4 (National Numeracy Strategy) (Based on DFEE Sample Lessons)
Chapter 5 Decimals © 2010 Pearson Education, Inc. All rights reserved.
Fractions and Decimals
Presentation transcript:

This presentation includes custom animations. To view the animations, you must view the presentation in Slide Show mode and activeX controls must be allowed. If you have opened this lesson in PowerPoint, use the PowerPoint menus to view it in slide show mode. If you have opened this lesson in a browser and see a bar similar to that below, click on the Slide Show icon A notice similar to the one below may appear warning that ActiveX or other scripts are disabled. Enable the controls for this website in order to see the animations.

Modulo This slide show describes the modulo operation. Christine S. Wolfe Ohio University Lancaster 2008-Aug-01 Vocabulary: modulo operand

A bakery box holds exactly 12 donuts. We can only sell donuts by the full box. Leftover donuts can be eaten by the staff. If we bake 24 donuts, there are no leftovers. If we bake 25 donuts, there is 1 leftover. If we bake 14 donuts, there are 2 leftovers. Christine Wolfe: Ohio University Lancaster

A bakery box holds exactly 12 donuts. We can only sell donuts by the full box. Leftover donuts can be eaten by the staff. How many donuts can the staff eat if… … 50 donuts are baked? 2 … 73 donuts are baked? 1 … 23 donuts are baked?11 … 66 donuts are baked? 6 … 15 donuts are baked? 3 … 36 donuts are baked? 0 … 126 donuts are baked? 6 … 10 donuts are baked?10 … 79 donuts are baked? 7 … 0 donuts are baked? 0 Christine Wolfe: Ohio University Lancaster Click anywhere to see the next answer

Each cabin holds 5 campers. If there aren't enough campers for a full cabin, the extra campers have to sleep in the infirmary. If 5 people are camping, they all stay in a cabin and no one sleeps in the infirmary. Christine Wolfe: Ohio University Lancaster

Each cabin holds 5 campers. If there aren't enough campers for a full cabin, the extra campers have to sleep in the infirmary. If 11 people are camping, 10 stay in cabins and 1 sleeps in the infirmary. Christine Wolfe: Ohio University Lancaster

Each cabin holds 5 campers. If there aren't enough campers for a full cabin, the extra campers have to sleep in the infirmary. Assuming an unlimited number of cabins, how many people have to sleep in the infirmary if…. … 6 go camping? … 10 go camping? … 15 go camping? … no one goes camping? … 5001 go camping? … 16 go camping? … 24 go camping? … 18 go camping? … 59 go camping? … 2 go camping? Christine Wolfe: Ohio University Lancaster

The operation of determining "leftovers" or "remainders" is called Either of the following symbols is used to represent the modulo operation: % or Mod ( We will use % because that is the symbol used in C ) The operation to learn how many donuts are leftover after 50 are baked and stored in boxes that can hold 12 donuts is written: 50 % 12 and is read, "fifty modulo twelve" The solution is written: 2 = 50 % 12 and is read, "Two is the result of fifty modulo twelve." If 13 donuts are baked, the solution is: 1 = 13 % 12 If 24 donuts are baked, the solution is: 0 = 24 % 12 If you don't know how many donuts will be baked, you can use a variable to represent the number of donuts. In that case, the solution is: NumberOfLeftovers = NumberOfDonuts % 12 modulo. click tip In programming, the variable that holds the result or answer is ALWAYS written on the left of the assignment operator

The operation to learn how many campers have to sleep in the infirmary when 11 campers show up and each cabin can hold 5 campers is written: 11 % 5 and is read, "eleven modulo five" The solution is written: 1 = 11 % 5 and is read, "One is the result of eleven modulo five." If you don't know how many campers will arrive, you can use a variable to represent the number of campers. In that case, the solution is: NumberWhoSleepInInfirmary = NumberOfCampers % 5 If you don't know how many campers will arrive AND you don't know how many campers can fit in a cabin, you can use variables to represent these unknowns. NumberWhoSleepInInfirmary = NumberOfCampers % NumberCampersPerCabin Christine Wolfe: Ohio University Lancaster

click tip Notice that the variable names do not start with a digit and they don't include any spaces.

What is the result of the following modulo operations? 16 % % 2 17 % % 8 6 % 2 14 % % % 5 25 % % % 10 7 % 3 7 % % 98 Christine Wolfe: Ohio University Lancaster 44 % 0Division by zero error -17 % 5implementation specific 25 % 8 implementation specific

Modulo is used to solve problems where it is necessary to know if one number can be evenly divided by another number. Example 1: All even numbers and only even numbers are evenly divisible by 2. If the result of MysteryNumber % 2 is zero, then MysteryNumber must be even. Example 1: All even numbers and only even numbers are evenly divisible by 2. If the result of MysteryNumber % 2 is zero, then MysteryNumber must be even. Example 2: How many reams of paper are needed if I want to produce x number of 1 page brochures? Suppose I want to produce 600 brochures. 600 pages / 500 pages per ream = 1.2 reams But my paper is only sold in full reams. If I round off to 1 ream, I won't have enough paper. If I always buy 1 extra ream, I may buy a ream that I will never use as in the case when I need exactly 1000 pages. The solution is to test the result of NumberOfPages % 500 If the result is 0, do not add the extra ream. If the result is greater than 0, then add another ream to the order. Example 2: How many reams of paper are needed if I want to produce x number of 1 page brochures? Suppose I want to produce 600 brochures. 600 pages / 500 pages per ream = 1.2 reams But my paper is only sold in full reams. If I round off to 1 ream, I won't have enough paper. If I always buy 1 extra ream, I may buy a ream that I will never use as in the case when I need exactly 1000 pages. The solution is to test the result of NumberOfPages % 500 If the result is 0, do not add the extra ream. If the result is greater than 0, then add another ream to the order. Christine Wolfe: Ohio University Lancaster