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This document provides instructions for subtracting different combinations of whole numbers and mixed numbers. It outlines how to subtract a whole number from a mixed number, subtract mixed numbers from each other, and subtract a mixed number from a whole number by first changing the whole number into a mixed number.
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Fractions
Fractions represent quantities that cannot be represented by whole numbers. A fraction consists of a numerator and denominator, where the denominator tells how many equal parts the whole is divided into and the numerator tells how many of those parts are being considered. Fractions can have equivalent forms when the whole is divided into a different number of parts. To compare fractions, they must first be converted to equivalent fractions with a common denominator. The fraction with the larger numerator is the greater fraction.
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The document defines fractions as numbers of the form p/q where p and q are whole numbers not equal to 0. Fractions represent parts of a whole, for example the fraction 3/6 represents 3 out of 6 equal slices of a pizza. The top number p is called the numerator and represents the number of parts, while the bottom number q is called the denominator and represents the total number of equal parts the whole was divided into. Equivalent fractions represent the same quantity, and the reduced fraction has the smallest denominator. Common factors can be canceled from the numerator and denominator to obtain an equivalent fraction.
INTRODUCTION TO FRACTIONS (SECOND GRADE)
SECOND GRADE APPROACH
*USE MANIPULATIVE IN TEACHING THIS LESSON. IN THIS WAY, THEY WILL APPRECIATE FRACTIONS MORE.
*PLEASE FEEL FREE TO GIVE YOUR COMMENTS ON THE PRESENTATION.
THANK YOU!
THANKS TO MY SOURCES: 1. Phoenix Math Book, Philippines 2. Web, for the photos; 3. Microsoft Powerpoint :)
Improper fraction
Takes students through the steps of getting an improper fraction. Examples are done together as a class and then students are given time to do some on their own. There are pictures to help give students a visual idea of what they are looking for when they make an improper fraction.
Add fractions like_den
Fractions with like denominators can be added or subtracted by adding or subtracting the numerators and keeping the same denominator. The resulting fraction may need to be simplified by reducing if possible or changed to a mixed number if improper.
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1) This document provides instructions on multiplying and dividing fractions. It explains how to multiply and divide fractions by multiplying or dividing their numerators and denominators.
2) Visual representations are used to demonstrate multiplying fractions, such as fractions multiplied by whole numbers or other fractions. Mixed numbers are also covered.
3) Cancelling terms before and after calculations is discussed as a way to simplify fractions. Dividing fractions is explained as turning the second fraction upside down and multiplying instead of dividing.
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- Fractions with a denominator of 1 equal the numerator
- Proper and improper fractions are defined
- Mixed numbers combine whole numbers and fractions
- Methods for adding, subtracting, multiplying and dividing fractions are described
- Special cases like fractions with a zero numerator or dividing by zero are addressed
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To order fractions, we first need to find a common denominator that is a common multiple of all the denominators. We then convert all the fractions to equivalent fractions with this common denominator. This allows us to directly compare the numerators to determine the order from smallest to largest.
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Fractions represent quantities that cannot be represented by whole numbers. A fraction consists of a numerator and denominator, where the denominator tells how many equal parts the whole is divided into and the numerator tells how many of those parts are being considered. Fractions can have equivalent forms when the whole is divided into a different number of parts. To compare fractions, they must first be converted to equivalent fractions with a common denominator. The fraction with the larger numerator is the greater fraction.
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The document defines fractions as numbers of the form p/q where p and q are whole numbers not equal to 0. Fractions represent parts of a whole, for example the fraction 3/6 represents 3 out of 6 equal slices of a pizza. The top number p is called the numerator and represents the number of parts, while the bottom number q is called the denominator and represents the total number of equal parts the whole was divided into. Equivalent fractions represent the same quantity, and the reduced fraction has the smallest denominator. Common factors can be canceled from the numerator and denominator to obtain an equivalent fraction.
INTRODUCTION TO FRACTIONS (SECOND GRADE)
SECOND GRADE APPROACH
*USE MANIPULATIVE IN TEACHING THIS LESSON. IN THIS WAY, THEY WILL APPRECIATE FRACTIONS MORE.
*PLEASE FEEL FREE TO GIVE YOUR COMMENTS ON THE PRESENTATION.
THANK YOU!
THANKS TO MY SOURCES: 1. Phoenix Math Book, Philippines 2. Web, for the photos; 3. Microsoft Powerpoint :)
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Takes students through the steps of getting an improper fraction. Examples are done together as a class and then students are given time to do some on their own. There are pictures to help give students a visual idea of what they are looking for when they make an improper fraction.
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1) This document provides instructions on multiplying and dividing fractions. It explains how to multiply and divide fractions by multiplying or dividing their numerators and denominators.
2) Visual representations are used to demonstrate multiplying fractions, such as fractions multiplied by whole numbers or other fractions. Mixed numbers are also covered.
3) Cancelling terms before and after calculations is discussed as a way to simplify fractions. Dividing fractions is explained as turning the second fraction upside down and multiplying instead of dividing.
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This document provides an overview of fractions including:
- The parts of a fraction are the numerator and denominator
- Fractions with a denominator of 1 equal the numerator
- Proper and improper fractions are defined
- Mixed numbers combine whole numbers and fractions
- Methods for adding, subtracting, multiplying and dividing fractions are described
- Special cases like fractions with a zero numerator or dividing by zero are addressed
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To order fractions, we first need to find a common denominator that is a common multiple of all the denominators. We then convert all the fractions to equivalent fractions with this common denominator. This allows us to directly compare the numerators to determine the order from smallest to largest.
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Adding and subtracting fractions involves making the bottom numbers the same by finding the lowest common multiple and multiplying the top numbers of each fraction by the same amount. Then the top numbers are either added or subtracted, while keeping the bottom number the same, to obtain the final fraction answer. The document provides steps for adding the fractions 3/4 and 1/3 as an example.
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The document discusses key topics about fractions including:
1. The agenda covers fractions, their types, conversions between mixed and improper fractions, quizzes, and homework.
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2. It provides examples of determining if a value is a solution to an inequality and discusses the rule that the sign of an inequality reverses if multiplying or dividing both sides by a negative constant.
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みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
ここ3000字までしか入らないけどタイトルの方がたくさん文字入ると思います。
Pushing the limits of ePRTC: 100ns holdover for 100 days
At WSTS 2024, Alon Stern explored the topic of parametric holdover and explained how recent research findings can be implemented in real-world PNT networks to achieve 100 nanoseconds of accuracy for up to 100 days.
Climate Impact of Software Testing at Nordic Testing Days
My slides at Nordic Testing Days 6.6.2024
Climate impact / sustainability of software testing discussed on the talk. ICT and testing must carry their part of global responsibility to help with the climat warming. We can minimize the carbon footprint but we can also have a carbon handprint, a positive impact on the climate. Quality characteristics can be added with sustainability, and then measured continuously. Test environments can be used less, and in smaller scale and on demand. Test techniques can be used in optimizing or minimizing number of tests. Test automation can be used to speed up testing.
Introducing Milvus Lite: Easy-to-Install, Easy-to-Use vector database for you...
Join us to introduce Milvus Lite, a vector database that can run on notebooks and laptops, share the same API with Milvus, and integrate with every popular GenAI framework. This webinar is perfect for developers seeking easy-to-use, well-integrated vector databases for their GenAI apps.
Full-RAG: A modern architecture for hyper-personalization
Mike Del Balso, CEO & Co-Founder at Tecton, presents "Full RAG," a novel approach to AI recommendation systems, aiming to push beyond the limitations of traditional models through a deep integration of contextual insights and real-time data, leveraging the Retrieval-Augmented Generation architecture. This talk will outline Full RAG's potential to significantly enhance personalization, address engineering challenges such as data management and model training, and introduce data enrichment with reranking as a key solution. Attendees will gain crucial insights into the importance of hyperpersonalization in AI, the capabilities of Full RAG for advanced personalization, and strategies for managing complex data integrations for deploying cutting-edge AI solutions.
UiPath Test Automation using UiPath Test Suite series, part 6
Welcome to UiPath Test Automation using UiPath Test Suite series part 6. In this session, we will cover Test Automation with generative AI and Open AI.
UiPath Test Automation with generative AI and Open AI webinar offers an in-depth exploration of leveraging cutting-edge technologies for test automation within the UiPath platform. Attendees will delve into the integration of generative AI, a test automation solution, with Open AI advanced natural language processing capabilities.
Throughout the session, participants will discover how this synergy empowers testers to automate repetitive tasks, enhance testing accuracy, and expedite the software testing life cycle. Topics covered include the seamless integration process, practical use cases, and the benefits of harnessing AI-driven automation for UiPath testing initiatives. By attending this webinar, testers, and automation professionals can gain valuable insights into harnessing the power of AI to optimize their test automation workflows within the UiPath ecosystem, ultimately driving efficiency and quality in software development processes.
What will you get from this session?
1. Insights into integrating generative AI.
2. Understanding how this integration enhances test automation within the UiPath platform
3. Practical demonstrations
4. Exploration of real-world use cases illustrating the benefits of AI-driven test automation for UiPath
Topics covered:
What is generative AI
Test Automation with generative AI and Open AI.
UiPath integration with generative AI
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
Microsoft - Power Platform_G.Aspiotis.pdf
Revolutionizing Application Development
with AI-powered low-code, presentation by George Aspiotis, Sr. Partner Development Manager, Microsoft
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdf
Monitoring and observability aren’t traditionally found in software curriculums and many of us cobble this knowledge together from whatever vendor or ecosystem we were first introduced to and whatever is a part of your current company’s observability stack.
While the dev and ops silo continues to crumble….many organizations still relegate monitoring & observability as the purview of ops, infra and SRE teams. This is a mistake - achieving a highly observable system requires collaboration up and down the stack.
I, a former op, would like to extend an invitation to all application developers to join the observability party will share these foundational concepts to build on:
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みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
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Climate Impact of Software Testing at Nordic Testing Days
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Introducing Milvus Lite: Easy-to-Install, Easy-to-Use vector database for you...
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Full-RAG: A modern architecture for hyper-personalization
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UiPath Test Automation using UiPath Test Suite series, part 6
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Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdf
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Subtract mixed number baru
- 1. SUBTRACTION OF MIXED NUMBERS
- 2. 5 Mixed Number Subtract whole Number
- 6. 5 Mixed Number Subtract Mixed Number
- 10. 5 whole Number Subtract mixed Number
- 15. 5 Mixed Number Subtract Mixed Number
- 17. Change to mixed number