Saburi Maths ppt.pptx
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Saburi Nayan Patil is a 10th grade student at Montfort School studying math. The document defines different types of real numbers including natural numbers, whole numbers, integers, rational numbers, irrational numbers, terminating decimals and repeating decimals. It provides examples of each type of number and illustrates the relationships between the number sets using a Venn diagram.
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Real Number System
This document defines and provides examples of different types of real numbers:
- Rational numbers can be expressed as ratios of integers and include integers, natural numbers, whole numbers, and numbers with terminating or repeating decimals.
- Irrational numbers cannot be expressed as ratios and are non-terminating, non-repeating decimals like the square root of 2.
- A Venn diagram is used to classify examples like 117, 0, -12.64039..., -1/2, 6.36, π/2, and √9/4 as rational or irrational numbers based on these definitions.
Realnumbersystemnotes (1)
This document defines and provides examples of the different types of real numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers. Rational numbers can be expressed as fractions, and include terminating and repeating decimals. Irrational numbers cannot be expressed as fractions and are non-terminating, non-repeating decimals. The real number system is made up of rational and irrational numbers, and can be visualized using a Venn diagram showing the relationships between the number sets.
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This document defines and provides examples of different types of numbers:
- Natural numbers are the counting numbers starting at 1.
- Whole numbers include 0 and natural numbers.
- Integers include whole numbers and their opposites.
- Rational numbers can be expressed as fractions with integer components.
- Irrational numbers cannot be expressed as fractions and have non-terminating, non-repeating decimals.
Examples are provided for each number type and a Venn diagram illustrates how they relate. Common properties and examples like π are also defined.
Realnumbersystemnotes
The document discusses the real number system and its subsets. It defines natural numbers, whole numbers, integers, rational numbers, irrational numbers, terminating decimals, and repeating decimals. Rational numbers can be expressed as fractions, while irrational numbers are non-terminating and non-repeating decimals. The real number system is represented by a Venn diagram showing the relationships between its subsets. Examples are provided to demonstrate how to classify numbers as rational or irrational.
นำเสนอจำนวนจริงเพิ่มเติม
The document discusses various types of real numbers including rational and irrational numbers. It provides examples and classifications of numbers as natural numbers, whole numbers, integers, rational numbers, and irrational numbers. It also discusses properties of real numbers such as closure, commutativity, associativity, identity, and inverses for addition and multiplication. Examples are provided to demonstrate how to classify numbers and identify properties of real numbers.
นำเสนอจำนวนจริงเพิ่มเติม
The document discusses real numbers and their subsets. It defines natural numbers, whole numbers, integers, rational numbers, and irrational numbers. It explains that rational numbers can be expressed as terminating or repeating decimals, while irrational numbers are non-terminating and non-repeating. Examples are provided of different types of numbers. Classification of numbers using Venn diagrams is demonstrated. Rounding and truncating decimals is also covered.
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The real number system includes rational and irrational numbers. It has several subsets such as natural numbers, whole numbers, integers, and rational numbers. Rational numbers can be written as fractions with integer numerators and non-zero denominators, and be expressed as terminating or repeating decimals. Irrational numbers include numbers like π that cannot be expressed as fractions and result in non-terminating, non-repeating decimals when written out. The real number system is categorized using Venn diagrams to classify numbers as rational or irrational.
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This document defines and provides examples of different types of real numbers:
- Rational numbers can be expressed as ratios of integers and include integers, natural numbers, whole numbers, and numbers with terminating or repeating decimals.
- Irrational numbers cannot be expressed as ratios and are non-terminating, non-repeating decimals like the square root of 2.
- A Venn diagram is used to classify examples like 117, 0, -12.64039..., -1/2, 6.36, π/2, and √9/4 as rational or irrational numbers based on these definitions.
Realnumbersystemnotes (1)
This document defines and provides examples of the different types of real numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers. Rational numbers can be expressed as fractions, and include terminating and repeating decimals. Irrational numbers cannot be expressed as fractions and are non-terminating, non-repeating decimals. The real number system is made up of rational and irrational numbers, and can be visualized using a Venn diagram showing the relationships between the number sets.
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This document defines and provides examples of different types of numbers:
- Natural numbers are the counting numbers starting at 1.
- Whole numbers include 0 and natural numbers.
- Integers include whole numbers and their opposites.
- Rational numbers can be expressed as fractions with integer components.
- Irrational numbers cannot be expressed as fractions and have non-terminating, non-repeating decimals.
Examples are provided for each number type and a Venn diagram illustrates how they relate. Common properties and examples like π are also defined.
Realnumbersystemnotes
The document discusses the real number system and its subsets. It defines natural numbers, whole numbers, integers, rational numbers, irrational numbers, terminating decimals, and repeating decimals. Rational numbers can be expressed as fractions, while irrational numbers are non-terminating and non-repeating decimals. The real number system is represented by a Venn diagram showing the relationships between its subsets. Examples are provided to demonstrate how to classify numbers as rational or irrational.
นำเสนอจำนวนจริงเพิ่มเติม
The document discusses various types of real numbers including rational and irrational numbers. It provides examples and classifications of numbers as natural numbers, whole numbers, integers, rational numbers, and irrational numbers. It also discusses properties of real numbers such as closure, commutativity, associativity, identity, and inverses for addition and multiplication. Examples are provided to demonstrate how to classify numbers and identify properties of real numbers.
นำเสนอจำนวนจริงเพิ่มเติม
The document discusses real numbers and their subsets. It defines natural numbers, whole numbers, integers, rational numbers, and irrational numbers. It explains that rational numbers can be expressed as terminating or repeating decimals, while irrational numbers are non-terminating and non-repeating. Examples are provided of different types of numbers. Classification of numbers using Venn diagrams is demonstrated. Rounding and truncating decimals is also covered.
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The real number system includes rational and irrational numbers. It has several subsets such as natural numbers, whole numbers, integers, and rational numbers. Rational numbers can be written as fractions with integer numerators and non-zero denominators, and be expressed as terminating or repeating decimals. Irrational numbers include numbers like π that cannot be expressed as fractions and result in non-terminating, non-repeating decimals when written out. The real number system is categorized using Venn diagrams to classify numbers as rational or irrational.
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8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
在线办理(UOIT毕业证书)安大略省理工大学毕业证在读证明一模一样
原件一模一样【微信：bwp0011】《(UOIT毕业证书)安大略省理工大学毕业证》【微信：bwp0011】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问微bwp0011
【主营项目】
一.毕业证【微bwp0011】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【微bwp0011】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
官方认证美国旧金山州立大学毕业证学位证书案例原版一模一样
原版一模一样【微信：741003700 】【美国旧金山州立大学毕业证学位证书】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
一比一原版美国西北大学毕业证(NWU毕业证书)学历如何办理
原版办理【微信号:BYZS866】【美国西北大学毕业证(NWU毕业证书)】【微信号:BYZS866】《成绩单、外壳、雅思、offer、真实留信官方学历认证（永久存档/真实可查）》采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【我们承诺采用的是学校原版纸张（纸质、底色、纹路）我们拥有全套进口原装设备，特殊工艺都是采用不同机器制作，仿真度基本可以达到100%，所有工艺效果都可提前给客户展示，不满意可以根据客户要求进行调整，直到满意为止！】
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信号BYZS866】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信号BYZS866】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
留信网服务项目：
1、留学生专业人才库服务（留信分析）
2、国（境）学习人员提供就业推荐信服务
3、留学人员区块链存储服务
【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：客户在留信官方认证查询网站查询到认证通过结果后付款，不成功不收费！
一比一原版布拉德福德大学毕业证（bradford毕业证）如何办理
一模一样【微信：A575476】【布拉德福德大学毕业证（bradford毕业证）成绩单Offer】【微信：A575476】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：A575476】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：A575476】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
Gabrielle M. A. Sinaga Portfolio, Film Student (2024)
My portfolio as a highly motivated film student pursuing a career in Yogyakarta.
How to overcome obstacles in the way of success.pdf
Success is often not achievable without facing and overcoming obstacles along the way. To reach our goals and achieve success, it is important to understand and resolve the obstacles that come in our way.
In this article, we will discuss the various obstacles that hinder success, strategies to overcome them, and examples of individuals who have successfully surmounted their obstacles.
All Of My Java Codes With A Sample Output.docx
Contains All of the Java Programs from Beginning to the Advanced Concepts that I had Practiced While Learning Java
Community Skills Building Workshop | PMI Silver Spring Chapter | June 12, 2024
Community Skills Building Workshop | PMI Silver Spring Chapter | June 12, 2024Hector Del Castillo, CPM, CPMM
We recently hosted the much-anticipated Community Skill Builders Workshop during our June online meeting. This event was a culmination of six months of listening to your feedback and crafting solutions to better support your PMI journey. Here’s a look back at what happened and the exciting developments that emerged from our collaborative efforts.
A Gathering of Minds
We were thrilled to see a diverse group of attendees, including local certified PMI trainers and both new and experienced members eager to contribute their perspectives. The workshop was structured into three dynamic discussion sessions, each led by our dedicated membership advocates.
Key Takeaways and Future Directions
The insights and feedback gathered from these discussions were invaluable. Here are some of the key takeaways and the steps we are taking to address them:
• Enhanced Resource Accessibility: We are working on a new, user-friendly resource page that will make it easier for members to access training materials and real-world application guides.
• Structured Mentorship Program: Plans are underway to launch a mentorship program that will connect members with experienced professionals for guidance and support.
• Increased Networking Opportunities: Expect to see more frequent and varied networking events, both virtual and in-person, to help you build connections and foster a sense of community.
Moving Forward
We are committed to turning your feedback into actionable solutions that enhance your PMI journey. This workshop was just the beginning. By actively participating and sharing your experiences, you have helped shape the future of our Chapter’s offerings.
Thank you to everyone who attended and contributed to the success of the Community Skill Builders Workshop. Your engagement and enthusiasm are what make our Chapter strong and vibrant. Stay tuned for updates on the new initiatives and opportunities to get involved. Together, we are building a community that supports and empowers each other on our PMI journeys.
Stay connected, stay engaged, and let’s continue to grow together!
About PMI Silver Spring Chapter
We are a branch of the Project Management Institute. We offer a platform for project management professionals in Silver Spring, MD, and the DC/Baltimore metro area. Monthly meetings facilitate networking, knowledge sharing, and professional development. For more, visit pmissc.org.Connect to Grow: The power of building networks
In the intricate tapestry of life, connections serve as the vibrant threads that weave together opportunities, experiences, and growth. Whether in personal or professional spheres, the ability to forge meaningful connections opens doors to a multitude of possibilities, propelling individuals toward success and fulfillment.
Eirini is an HR professional with strong passion for technology and semiconductors industry in particular. She started her career as a software recruiter in 2012, and developed an interest for business development, talent enablement and innovation which later got her setting up the concept of Software Community Management in ASML, and to Developer Relations today. She holds a bachelor degree in Lifelong Learning and an MBA specialised in Strategic Human Resources Management. She is a world citizen, having grown up in Greece, she studied and kickstarted her career in The Netherlands and can currently be found in Santa Clara, CA.
按照学校原版(UofT文凭证书)多伦多大学毕业证快速办理
快速办理【(UofT毕业证书)多伦多大学毕业证】【176555708微信号】硕士毕业证成绩单、外壳、offer、留信学历认证（永久存档真实可查）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【我们承诺采用的是学校原版纸张（纸质、底色、纹路），我们拥有全套进口原装设备，特殊工艺都是采用不同机器制作，仿真度基本可以达到100%，所有工艺效果都可提前给客户展示，不满意可以根据客户要求进行调整，直到满意为止！】
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信176555708】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信176555708】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
留信网服务项目：
1、留学生专业人才库服务（留信分析）
2、国（境）学习人员提供就业推荐信服务
3、留学人员区块链存储服务
→ 【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：客户在留信官方认证查询网站查询到认证通过结果后付款，不成功不收费！
体育博彩论坛-十大体育博彩论坛-体育博彩论坛|【网址🎉ac55.net🎉】
在体育博彩论坛，你会发现数之不尽的在线博彩机会，包括世界各地的精彩体育赛事以及绝佳的赔率。此外，体育博彩论坛还会为你提供诸如赌场、宾果和扑克等在线游戏以及各种各样的奖金优惠，包括体育博彩论坛的免费投注。无论你是忠实的足球迷，或者是二十一点的专业玩家，在这里都可以找到你最感兴趣的投注市场或游戏。
A Guide to a Winning Interview June 2024
This webinar is an in-depth review of the interview process. Preparation is a key element to acing an interview. Learn the best approaches from the initial phone screen to the face-to-face meeting with the hiring manager. You will hear great answers to several standard questions, including the dreaded “Tell Me About Yourself”.
Learnings from Successful Jobs Searchers
Are you interested to know what actions help in a job search? This webinar is the summary of several individuals who discussed their job search journey for others to follow. You will learn there are common actions that helped them succeed in their quest for gainful employment.
办理阿卡迪亚大学毕业证（uvic毕业证）本科文凭证书原版一模一样
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- 1. Name : Saburi Nayan Patil Class: 10th A Roll no: 13 Subject: Maths School: Montfort School
- 3. Real Numbers • Real numbers consist of all the rational and irrational numbers. • The real number system has many subsets: – Natural Numbers – Whole Numbers – Integers
- 4. Natural Numbers • Natural numbers are the set of counting numbers. {1, 2, 3,…}
- 5. Whole Numbers • Whole numbers are the set of numbers that include 0 plus the set of natural numbers. {0, 1, 2, 3, 4, 5,…}
- 6. Integers • Integers are the set of whole numbers and their opposites. {…,-3, -2, -1, 0, 1, 2, 3,…}
- 7. Rational Numbers • Rational numbers are any numbers that can be expressed in the form of , where a and b are integers, and b ≠ 0. • They can always be expressed by using terminating decimals or repeating decimals. b a
- 8. Terminating Decimals • Terminating decimals are decimals that contain a finite number of digits. • Examples: 36.8 0.125 4.5
- 9. Repeating Decimals • Repeating decimals are decimals that contain a infinite number of digits. • Examples: 0.333… 7.689689… FYI…The line above the decimals indicate that number repeats. 9 . 1
- 10. Irrational Numbers • Irrational numbers are any numbers that cannot be expressed as . • They are expressed as non-terminating, non- repeating decimals; decimals that go on forever without repeating a pattern. • Examples of irrational numbers: – 0.34334333433334… – 45.86745893… – (pi) – b a 2
- 11. Other Vocabulary Associated with the Real Number System • …(ellipsis)—continues without end • { } (set)—a collection of objects or numbers. Sets are notated by using braces { }. • Finite—having bounds; limited • Infinite—having no boundaries or limits • Venn diagram—a diagram consisting of circles or squares to show relationships of a set of data.
- 12. Venn Diagram of the Real Number System Irrational Numbers Rational Numbers
- 13. Example • Classify all the following numbers as natural, whole, integer, rational, or irrational. List all that apply. a. 117 b. 0 c. -12.64039… d. -½ e. 6.36 f. g. -3
- 14. To show how these number are classified, use the Venn diagram. Place the number where it belongs on the Venn diagram. 9 4 2 1 Rational Numbers Integers Whole Numbers Natural Numbers Irrational Numbers -12.64039… 117 0 6.36 9 4 -3
- 15. Solution • Now that all the numbers are placed where they belong in the Venn diagram, you can classify each number: – 117 is a natural number, a whole number, an integer, and a rational number. – is a rational number. – 0 is a whole number, an integer, and a rational number. – -12.64039… is an irrational number. – -3 is an integer and a rational number. – 6.36 is a rational number. – is an irrational number. – is a rational number. 9 4 2 1
- 16. FYI…For Your Information • When taking the square root of any number that is not a perfect square, the resulting decimal will be non-terminating and non-repeating. Therefore, those numbers are always irrational.