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The Rummage and Bake Sale Fundraiser proceeds go to the St. Francis Food Pantry. This event is sponsored
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Pleasant Valley Bible Camp is inviting the entire community to celebrate 50 years of ministry with us on May 5th, 2018. The camp will be open for self-guided tours. The staff will be available to answer questions. If you have never been here come out and see the camp in person. If you are a recent or long ago friend, come share memories of your PVBC experiences. Open house is 2-5PM with a praise concert @ 5PM in the chapel.

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Originally posted by Jakomo
They're in multi-million dollar technological killing machines (with the money to buy them from the USA) and they're fighting against people with sticks, rocks, and the occasional firearm.
Originally posted by Jakomo
Considering they spend most of their time flying over Gaza and the West Bank and intermittently firing missiles and bombs into refugee camps, they have it pretty good.
They're in multi-million dollar technological killing machines (with the money to buy them from the USA) and they're fighting against people with sticks, rocks, and the occasional firearm.
Very well said. Im actually impressed. However, you forgot to mention the suicide bombings and arab leaders vowing to drive the Israelis into sea. refugee camps? the arabs are known to use innocent people as human shields, so dont blame Israel.
Yeah, wow, what heroism!
Explain what you mean by "statistically speaking". What "statistics" are you looking at that show the Israeli Air Force to be the best in the world?
Read into the Israeli-Arab Wars, especially the Six-Day War. you'll see wat im talking about.
Originally posted by ShadowXIX
I think in the Middle East they have the best airforce. But if they came up head to head with a power like Russia or China they would get crushed.
Israel's biggest export is technology, specifically for military use. Israel supplies China with technology. How you got the idea that China could crush Israel is beyond me!!! Russia, on the other hand, is a different story. Russia developes their own technology. its basically Israel(quality) vs. Russia(quality and quantity). However, since Israelis have a sharper mind, i personally go with Israel.
Also if America sold weapons the way they do to Iaraeli to say Egypt then Egypt would have the best airforce in that area.
Not really. Israel has the best Intelligence agency in the world. The Mossad could easily obtain infomation about any weapon Egypt gets(example: In the war of Attrition, the Israelis stole a new hi-tech Soviet radar from Egypt...with ease). Plus they develope their own technology.
You must be so proud of the Pilots who fight Stick and Stone weilding children with APache Gunships and F-16 armend with TOW Missiles.
Wonder how they would do in a fair fight?
Originally posted by Jakomo
? Did you miss my sarcasm or am I missing yours? I was saying that OF COURSE Israel has a better air force than it's main enemy, it's main enemies are refugees.
I'm pretty certain they woul give our air force a run for it's money.
but what about the f22 or even the jsf? does israel intend to have them anytime in the future?
...but they are not good when they go up against Red Flag graduates in F-15�s and F/A-22�s.


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Should an e-bike actually look like an e-bike? Vanmoof think so. With a design and engineering sensibility that's more Silicon Valley startup than heritage bike brand, Vanmoof is probably the most WIRED of the bikes on test. And the Electrified S has a host of features to prove it. The Bluetooth/proximity activated e-lock (with tamper sensor) that's built into the frame is a clever innovation, although we're not sure this would be enough theft protection for inner city areas, (where the Vanmoof's striking design stands out like a jewel on the bike rack). However, for €7 a month, if your bike is stolen, Vanmoof will track down your bike – or replace your bike with a model of the same age if they can't retrieve it.
The final thing I love about this the Riese & Müller Delite GT Touring is the plus size tires. If you've ever been on a bike for the majority of the day, you know that any little bit of cushioning can make all the difference. Riese & Müller have provided this extra cushion in their tires. These tires are also excellent for wet weather and some light off-roading if you want to take a shortcut.
For many bikes, battery range is more important that total power (because they're all pretty powerful). You want a bike that delivers a range long enough for your rides at the power levels you want. Most e-bikes will have three to five levels of assist kicking in anywhere from 25 percent of you pedal power to 200 percent boost. Consider how fast the battery takes to recharge, especially if you'll be using your bike for long commutes.


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Every now and then some of us have the chance for a "meet-up" This discussion is a place to store memories of these special times.
Views: 1994
Thank you Anne for creating our KASfamily Album, I have been very fortunate in being able to meet some KASisters and I so enjoy seeing others get together too!
WOW Anne, this is great! A real 'family album'!!!
I, too, was fortunate to be able to meet with as many KASsisters as I did. So many of us never meet or see each other, so this is a terrific way for us to put a face to the name! Hello to you all and big ((HUGS)) all around :) xo
Enjoying seeing these pictures, and I'd love the chance to meet up with some KASsisters (perhaps for an occasional 'Knit and Natter') - anyone out there in the Cape Town area?
Hi Lesley,
I just checked the Members tab. If you do a search for Cape Town, you will find 17 names! If you search Capetown you will find 2. Perhaps you will even think of suburbs around the area to find even more. Maybe you will be able to find these people in your phone book and arrange a meet-up. If that happens, be sure to let us know, and do take photos!
Thanks so much for this, Anne - I'm not familiar enough yet with the website to realise that I could do this. I'll certainly try following it up.
**Added for Jude Sullivan **
On Wednesday 21st December, it was a super day in Purton. Sharon arrived all the way from Chelmsford Iin Essex and joined Louise, Sheila and Bernice at our Wednesday Coffee and Chat (with carols) whilst I went to collect Joan (Humm) from her holiday cottage in the next village. Joan lives in France but was here visiting her family in Swindon so we all met up and went to the pub for lunch. Introductions were made all round and so we proceeded to exchange stories and wool amidst much laughter and delicious food.
After lunch we went to my house for our monthly knitting group which Sheila and I take in turn to host. Our KAS sisters arrived more introductions were made, crackers were pulled, paper hats were worn dreadful cracker jokes were shared then I served tea and coffee with even more laughter! (of course not my tea making skills the cracker jokes).
I have now borrowed Estelle's idea of show and tell and everyone took part. Louise brought the photos she had downloaded from SA so everyone could see their work in the Blanket Room discussions which was brilliant as some of our KASers don't have access to a computer.
Louise gave Joan the task of sewing in all the ends of two bags of squares and then in another act of 'generosity' gave Joan a present of wool plus another project to complete before her next visit to the UK!
Time flew by so quickly suddenly it was time to say our goodbyes. It seemed as if we all had known each other for years and we look forward to doing it again. Sharon and Chris Chiplen have their own car parking spaces on my drive but of course any KAS sisters are welcome to park as well. Sharon, Chris and Joan are now honorary Purtonians and we would welcome any more KAS sisters to visit.
In a nutshell a super day with super KAS sisters and of course I introduced Joan as our International Guest more laughter .................
What a happy, festive gathering this is! It's great to see you all together, I'm so glad Joan was able to visit and join in. I didn't know I was an honorary Purtonian, thank you! I think Sharon, Joan and myself need to watch out..... Louise and Jude are are amazing fundraisers and Jude might just see the potential in charging car parking fees..... :))
Ssshhh ... she is missing a trick there. ..LOL :))
Oh this looks like it was so much fun. Thanks for the update.
Thanks for the update and great photos. What fun you must have had.
Just wonderful to read of this event and to see all your smiling faces.
I had an absolutely lovely day with all these ladies. It was great to finally meet up with Louise, Jude and Sharon who greeted me like a long lost sister :)
I was inundated with gifts of yarn, Jude gave me some that will be a bit of a challenge to use but no doubt I will come up with something. :) Watch this space. lol
When Jude picked me up I asked her if I should bring my knitting but she said it was not necessary. I soon found out that Louise had other plans for me !! It was a pleasure sewing in all those ends Louise xx I can't wait to see the finished blanket :)
Hopefully, the next time I am in the UK we will all be able to meet up again. I will gird my loins in preparation for the work Louise has lined up for me :))
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Main News Page
Friday, March 9, 2018 More items for
Good Technical Practice
Toy manufacturer LEGO recently announced that production of a new line of botanical-themed building bricks has begun, and in addition to emulating the likeness of plants, the toy blocks are being made from plant-based plastic.
The new line, which includes LEGO bricks in the shape of leaves, bushes and trees, is made of soft, durable and flexible polyethylene plastic created from ethanol produced from sugar cane.
Green and Growing
According to LEGO, the new line is "technically identical" in comparison with LEGO's conventional plastic. The elements have also reportedly been tested to make sure that the plant-based plastic meets the necessary quality and standards that have been established by the company.
Toy manufacturer LEGO recently announced that production of a new line of botanical-themed building bricks has begun, and emulating the renewable nature of their plant cousins, the toy blocks are made from plant-based plastic.
Polyethylene elements account for 1 to 2 percent of the plastic produced by LEGO Group, the company noted. The sugarcane is also sourced sustainably, under guidance from the Bioplastic Feedstock Alliance whille also being certified by the Bonsucro Chain of Custody standard.
"Children and parents will not notice any difference in the quality or appearance of the new elements, because plant-based polyethylene has the same properties as conventional polyethylene," said Tim Brooks, Vice President, Environmental Responsibility at the LEGO Group.
The move toward plant-based plastics is part of LEGO Group's initiative to move to all bioplastic production by 2030.
"At the LEGO Group we want to make a positive impact on the world around us, and are working hard to make great play products for children using sustainable materials," said Brooks. "We are proud that the first LEGO elements made from sustainably sourced plastic are in production and will be in LEGO boxes this year."
The company has also partnered with the World Wildlife Fund to build demand for sustainably sourced plastic, as well as reduce CO2 emissions.
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Easy C Rider - Ride Pictures 2010
October 3rd - Dick didn't feel like doing the hills of the Major Taylor Metric, and no ECR riders had offered to join him on it, so he sketched out a much flatter half-century in North County. Regulars Bob and Alex joined him on cool and breezy (10-15) morning.
Rest stop - nutrition & other needs
W Boylston gets ready for Halloween
Last updated 10/11/2010


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The outcome of the UK election has left a great degree of uncertainty today, and that uncertainty extends to the future of financial services regulation. One certainty however, is that regardless of the outcome of the ongoing political discussions, the financial services sector will remain under intense scrutiny and subject to regulatory change.
All parties appear to be agreed on a range of matters relating to financial services, including tighter control and increased scrutiny over remuneration and consumer financial products, higher capital and liquidity requirements, bank taxes, increased competition in the banking sector and living wills. However, there are certain key areas, in particular the regulatory architecture and the future of the FSA, and the separation of investment banking activities from retail banking activities, where the parties substantially diverge.
Click here to access a comparative table of the main political parties' positions on the key areas of financial services regulation, which gives a sense of the likely direction of reform when the composition of Government is ultimately decided.


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With the highest levels of displacement on record, an unparalleled 34,000 people are forced from their homes all around the world, every day! Recent global trends reports show that among them are nearly 21.3 million refugees that are fleeing their homes or countries of origin due to war or political/religious persecution in search of refuge and resettlement. Half of that number are children under 18 years of age!
A tragic sign of our times, forced displacement impacts an ever-increasing number of individuals, families, and communities, as well as a rising proportion of the world population.
The total number of refugees has consecutively increased over 55 percent in the last 5 years and has no immediate solution in sight. This increase was driven mainly by the conflict in Syria, which accounted for more than half of new refugees in 2015.
Escalated tensions have erupted in Syria, Mozambique, and the Mediterranean and have created a humanitarian crisis where millions have had to flee to other countries with and without the welcoming arms of participating host countries.
53% of the refugees worldwide come from 3 countries
Syria=4.9M | Somalia=1.1M | Afghanistan=2.7M
Important factors a country must consider when measuring the impact they will have on hosting refugees are dependent upon the size of the country's economy, development level, and population. The developing low-to-middle income countries least able to meet the development needs of their own citizens have hosted on an average of 86% of all refugees under UNHCR's mandate and continue to receive refugees disproportionately. By the end of 2015, countries in developing regions hosted 13.9 million of the world's total refugee population, compared with the 2.2 million hosted by countries in developed regions.


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Bacon Cheeseburger Salad
Total TimePrep/Total Time: 30 min.
Makes4 servings
- 2 hamburger buns, cut into 1-inch cubes
- 2 teaspoons olive oil
- 1/8 teaspoon garlic salt
- 1 pound ground beef
- 3/4 cup chopped onion
- 3/4 cup ketchup
- 1 tablespoon prepared mustard
- 1/8 teaspoon pepper
- 8 cups shredded lettuce
- 2 cups chopped tomatoes
- 4 slices process American cheese, cut into strips
- 1/2 cup crumbled cooked bacon
- 8 dill pickle slices
- For croutons, place bun cubes on a baking sheet. Drizzle with oil and sprinkle with garlic salt; toss to coat. Broil 4 in. from the heat for 4-6 minutes or until golden brown, turning once.
- In a large skillet, cook beef and onion over medium heat until meat is no longer pink; drain. Add the ketchup, mustard and pepper; heat through.
- Divide lettuce among four dinner plates; top each with tomatoes, meat mixture, cheese and bacon. Garnish with croutons and pickles.
Nutrition Facts1 each: 463 calories, 21g fat (9g saturated fat), 79mg cholesterol, 1765mg sodium, 35g carbohydrate (19g sugars, 4g fiber), 34g protein.
Follow along as we show you how to make these fantastic recipes from our archive.
My Review
Sep 17, 2015
What a unique idea for dinner! I really liked this and unlike another reviewer; I did not find it too much work at all.
Oct 30, 2008
It was easy and delicious. A nice change from a burger. I didn't find it to be anymore work than taco salad, maybe a bit less work. I added a dollop of miricle whip on top and I think it would also be great with a bit of ranch dressing!!!
Oct 12, 2008
I made this dish and honestly it was just a lot of work. It was good, and it was neat to try but my family would have been just as satisfied with Taco Salad which I could closely compare this dish too and with less work.
Oct 1, 2008
Yummy Yummy Yummy! Next time I make it I'm going to use tomato sauce in stead of ketchup. I'm not a big fan of the ultra sweet taste of ketchup.


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Water refrigeration unit
Packaged air-cooled water chillers with axial fans. Range with semi-hermetic screw and R134a refrigerant gas compressors.
• Compressor: high energy efficiency semi-hermetic screw compressor with linear capacity control (25-100%). Star-delta limited start and complete with integral protection, casing heater and refrigerant gas outlet piping shut-off valve.
• Water side heat exchanger: dry expansion shell and tube exchanger with counterflow heat exchange, complete with closed cell polyurethane foam rubber insulation, water flow differential pressure switch and Victaulic fittings.
• Air side heat exchanger: with micro-channels.
• Fan: external rotor axial type electric fans with internal thermal protection, accident protection grilles.
• Control: microprocessor electronic control.
• Structure: made of galvanised and painted steel plate with polyester powder coating.
• The unit is also complete with:
- Display of cooling circuit high/low pressure;
- Electronic expansion valve;
- Clock board;
- Master/Slave control up to 4 units in parallel.
• T - High efficiency version with oversized condensing section (TCAVTZ).
• Q - Super-silenced version complete with soundproof compressor technical compartment, super-reduced speed fans and oversized condensing section (TCAVQZ).
•TCAVTZ: high efficiency unit designed for cooling only.
• TCAVQZ: super silenced unit designed for cooling only.


text:
Peer reviewed
ERIC Number: EJ182450
Record Type: CIJE
Publication Date: 1977
Pages: N/A
Abstractor: N/A
Reference Count: 0
Television Formats, Mastery of Mental Skills, and the Acquisition of Knowledge
Salomon, Gavriel; Cohen, Akiba A.
Journal of Educational Psychology, 69, 5, 612-9, Oct 77
Four TV film versions of the same story were shown to fifth graders; the presentation format of each film varied. Different patterns resulted between initial mental skills and knowledge acquired from each format, depending upon whether the format called upon or supplanted the skill. (Author/GDC)
Publication Type: N/A
Education Level: N/A
Audience: N/A
Language: N/A
Sponsor: N/A
Authoring Institution: N/A


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FJ Cruisers of Northern California
66 members
Hello everyone,Need some help with CEL (Check Engine Light) and TRAK light coming on the FJ a couple days ago. 2012 FJ, 70k miles, daily driver.CEL went on as I started the FJ in the morning. Put a…Continue
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Are they still obtainable? If so, how?Thanks in advanceContinue
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Posted on July 15, 2012 at 9:19pm — 3 Comments
The exhaust has been in my garage for about a week... I woke up this morning and it wasn't raining!
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Posted on November 5, 2011 at 5:10pm — 1 Comment
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1UP writes:
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Car Rental Cyprus By Right Cars
If you have any inquiries regarding rental in Cyprus please check out our FAQ section. If you cannot find the answer in our FAQ section please call
In Cyprus, Right Cars offers services in all the major airports such as Larnaca Airport and Paphos Airport. We also offer our car rental service at some of the most popular hotels in Cyprus such as the Ajax Hotel and the Atlantica Beach Hotel in Limassol. Our service is top class and our first priority is to make sure all of our customers are happy and have a great experience when renting a vehicle with us. cyprus car hire – Hire car.
Cyprus, what to do and see
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A very unique thing you could do in Cyprus is try the Undersea Walkers. They are at the Cynthiana Beach Hotel, Thomb of the Kings Road, Paphos, Cuprus. Undersea Walkers is the newest and most innovative attraction to arrive in Cyprus, there are only seven in the world and only one in Europe which is in Cyprus. Undersea Walkers allows you to stroll along the sea bed in 10ft of clear turquoise water to observe the sea life as it surrounds around you. It provides you with the opportunity to hand feed the fish so it would be a wonderful experience for any age and all the family.
Larnaca Airport Larnaca Downtown Limassol Downtown Nicosia Nicosia Airport Ercan Paphos Airport


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Introduction to Whole Numbers
- Ethelbert Fisher
- 2 years ago
- Views:
1 Section 1.1 PRE-ACTIVITY PREPARATION Introduction to Whole Numbers Annette has just landed a terrific job as a middle school teacher. Instead of renting an apartment, she decides to buy a small condominium. When she reads the mortgage contract, she notices that the amount of the loan is written in two ways: in words and in digits. Her total loan amount is written as sixty-three thousand, two hundred seventy-nine dollars and as $63,279. Formal business documents frequently have numbers written in both word form and standard form (digits) for the purpose of cross-referencing and verifying dollar amounts. On handwritten business and personal checks, for example, using both forms ensures the that the digits have not been altered. Mathematics uses a language of numbers and symbols. When you understand what numbers mean, whether represented in standard form or in words, you will use them more effectively. LEARNING OBJECTIVES Read, interpret, and represent a number in digits as well as in words. Translate numbers between words and standard notation. TERMINOLOGY NEW TERMS TO LEARN base ten system decimal system digit expanded form infinite period place placeholder place value standard form standard notation value whole number word form 13
2 14 Chapter 1 Whole Numbers BUILDING MATHEMATICAL LANGUAGE The whole numbers are the number zero and all the counting numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, and so on Note that the series of whole numbers is infinite that it goes on without end. You can always count one number higher. Whole numbers are most commonly written in standard form (or standard notation) using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 to present the number, as in 63,279. The digits used to write a number in standard form take their proper positions in the number according to a system of writing numbers called the decimal (or base ten) system, wherein every position, or place has a corresponding and specific place value. The following is a partial decimal system place value chart for whole numbers. The number 63,279 is positioned correctly in the chart. Period millions thousands ones Place name hundredmillions ten-millions millions hundredthousands tenthousands thousands hundreds tens ones Place value 100,000,000 10,000,000 1,000, ,000 10,000 1, Example number , Notice that, as you move from right to left, each place value represents 10 times the place value to its immediate right: one ten is equal to 10 ones, one hundred is equal to 10 tens, one thousand is equal to 10 hundreds, one ten-thousand is equal to 10 thousands, one hundred-thousand is equal to 10 ten-thousands, one million is equal to 10 hundred-thousands, and so on. This pattern is the foundation of the decimal (base ten) system. It underlies not only the way numbers are written, but also how they are computed, as you will later study. Also note that the chart is partial because you could continue the pattern and get ten times larger with each place as you move past the millions to billions, trillions, quadrillions, quintillions, and beyond!
3 Section 1.1 Introduction to Whole Numbers 15 Furthermore, the position of a digit in a number determines its corresponding value in the number. Look at the example number in the chart: 63, in the ten-thousands place has a value of 6 ten-thousands or 60,000 3 in the thousands place has a value of 3 thousands or in the hundreds place has a value of 2 hundreds or in the tens place has a value of 7 tens or 70 9 in the ones place has a value of 9 ones or 9 The expanded form of a number breaks it down and calls attention to its parts by presenting the number as the total of its digits values. For example, the expanded form of the number 63,279 is 6 ten-thousands + 3 thousands + 2 hundreds + 7 tens + 9 ones or simply 60, , A whole number might be spoken aloud, in its word form. It might also be spelled out in word form, as for the previous example, sixty-three thousand, two hundred seventy-nine. Each whole number from 21 through 99 (other than 30, 40, 50, 60, 70, 80, and 90) requires the use of a hyphen in its written word form (twenty-one through ninety-nine). Starting from the ones place at the far right, each three-digit place value group makes up a period ones, thousands, millions, billions, and so on (refer again to the chart on the previous page). Notice that the ones period is actually made up of three place values ones, tens, and hundreds. Also notice how this pattern continues in the one thousands, ten-thousands, hundred-thousands, and so forth as you move left through the periods. For ease of reading or writing a number in words or digits, commas are used to separate the periods. When you add, subtract, multiply, or divide whole numbers, it is customary to drop the commas from their standard forms while doing the actual computations, resulting in a number with correctly positioned digits but no commas. In order to present the answer in standard form, start counting from the right, moving three places for each period. Insert commas at the period breaks. For example, an answer would be properly presented as millions thousands ones 5, 0 4 3, in its standard form. In numbers with only four digits, the comma between the thousands and the hundreds periods is optional, but the correct period word thousand is still required when reading or writing them. For example, the number 5,618 ( five thousand, six hundred eighteen ) is sometimes written as 5618 without the comma after the thousands place digit ( five thousand six hundred eighteen ).
4 16 Chapter 1 Whole Numbers An understanding of the proper use of the number zero (0) is essential for writing numbers in both standard and word forms A zero (0) is used as a placeholder in the standard form of a number to represent a value not accounted for in its word form. For example, consider forty-eight thousand, fi fty three. Because the word hundreds is neither written nor spoken, the digit 0 is used as the hundreds placeholder in its standard form: 48,053. The reverse is also true. A zero placeholder in the standard form of a number signifies a value of 0, hence a place that should not be represented by a word. Using the same example, the 0 in the hundreds place in 48,053 has a value of 0 hundreds, or 0. Therefore, hundreds is not presented in its word form, forty-eight thousand, fi fty-three. What does this mean for the expanded form of the number? The expanded form of 48,053 is 40, , or simply 40, , indicating that there are no hundreds in the number, only ten-thousands (4 of them), thousands (8), tens (5), and ones (3). The word and should not to be used when reading a three-digit whole number, although it is often mistakenly spoken in casual conversation. For example, the correct reading of 804 is eight hundred four (not eight hundred and four ). As you will learn in the chapters on decimal numbers and fractions, the word and is reserved for use when reading or writing a number containing a decimal point, indicating the placement of the decimal point, as in ( eight hundred four and seven tenths ) or when reading a mixed number such as 2½ ( two and one half ). For whole numbers of four or more digits, the final period name ones is never used. Also, in the English language, the singular forms of the larger period names are used when a number is spoken or written in words. For example, the number 3,201,536,794 is read, three billion, two hundred one million, five hundred thirty-six thousand, seven hundred ninety-four. Reading and Writing Whole Numbers Keeping in mind the base ten system place value chart, you can easily translate between the standard form and word form of any whole number, as demonstrated by the following techniques and models.
5 Section 1.1 Introduction to Whole Numbers 17 TECHNIQUE Translating a Number from Standard Form to Word Form Technique Working from left to right, say or write out the word name for the number in each period (indicated by comma breaks) followed by the period word. Use commas in the written form. Special Case: Three placeholder zeros in a period (see below, Model D) MODELS Translate each of the following numbers to its word form. A 7,243,603 millions thousands ones seven two hundred forty-three six hundred three Answer: seven million, two hundred forty-three thousand, six hundred three B 28,064,852,019 billions millions thousands ones twenty-eight sixty-four eight hundred fifty-two nineteen Answer: twenty-eight billion, sixty-four million, eight hundred fifty-two thousand, nineteen C 550,009 Answer: five hundred fifty thousand, nine Special Case: Three Placeholder Zeros in a Period When all three places in a period are zeros, that period is not named in the word form. D 4,000,975 THINK The thousands period consists of three zero placeholders, so thousands is not in the word form. Answer: four million, nine hundred seventy-five
6 18 Chapter 1 Whole Numbers TECHNIQUE Translating a Number from Word Form to Standard Form Technique Working from left to right, substitute digits that correspond to the number stated for each period and use commas in place of period names. Special Case: A particular period is not in the word form (see below, Models C & D) MODELS Write each of the following numbers in standard form. A fifty-three thousand, four hundred seventy two thousands ones Answer: 53,472 B seventy-eight million, three hundred fifty-five thousand, four hundred sixty-two millions thousands ones Answer: 78,355,462 Special Case: A Particular Period is Not in the Word Form Use three placeholder zeros to represent a period missing from the word form. C two million, one hundred twenty-eight THINK The thousands period is not in the word form. Use three zeros as placeholders for the thousands period. Answer: 2,000,128 D four hundred thousand Use three zeros as placeholders for the ones period. Answer: 400,000
7 Section 1.1 Introduction to Whole Numbers 19 ADDRESSING COMMON ERRORS Issue Incorrect Process Resolution Correct Process Incorrectly translating periods of three zero placeholders when translating from standard form to word form 8,000,123 in word form is eight thousand, one hundred twenty-three t Keep in mind the place value chart. Use the commas in the standard form as clues to how many periods there are in the given number. THINK There are three periods in 8,000,123 as indicated by the commas millions, thousands, and ones. When a period consists of all zero placeholders, do not name that period in the word form. Zeros hold all three places in the thousands period. Do not name thousands in the word form. 8,000,123 in word form is eight million, one hundred twenty-three Incorrectly identifying the periods requiring zero placeholders when translating from word form to standard form six million, nine hundred sixty-five in standard form is 6,965,000 0 Keep in mind the place value chart. Use zeros as placeholders when entire periods are not in the word form. THINK The thousands period is the period not written in six million, nine hundred sixtyfive. Use three zeros as placeholders for the three places in the thousands period. 6,000,965 Incorrectly using the word and in the word form of a whole number 25,304 in word form is twenty-five thousand, three hundred and four The word and is not used when speaking or writing a whole number in word form. (It is reserved for use when reading a number containing a decimal point to indicate the placement of the decimal point.) 25,304 in word form is twenty-five thousand, three hundred four
8 20 Chapter 1 Whole Numbers PREPARATION INVENTORY Before proceeding, you should have an understanding of each of the following: the terminology and notation associated with reading and writing whole numbers the identification of place values the value of a digit with respect to its particular position in a number the meaning of zero as a placeholder the use of period words in reading and writing whole numbers the use of commas in writing numbers
9 Section 1.1 ACTIVITY Introduction to Whole Numbers PERFORMANCE CRITERIA Translating a number between words and standard notation use of correct place values and period names correct placement of commas correct spelling and use of hyphens CRITICAL THINKING QUESTIONS 1. How do you determine a digit s value in a number? Give an example. 2. When do you use the placeholder digit zero (0) in the standard form of a number? Give an example. 3. When you translate a number into words, what do you do with periods that contain all zeros? Give an example. 21
10 22 Chapter 1 Whole Numbers 4. What is the relationship between periods (place value groups) and commas when writing numbers in either words or digits? 5. How is the place value chart used to translate numbers between words and digits? 6. How can you assure that a translation of a whole number into a new representation is accurate? 7. When should you use numbers written in words rather than in digits?
11 Section 1.1 Introduction to Whole Numbers 23 TIPS FOR SUCCESS Keep in mind the place value chart to translate numbers written in words or digits. When translating from words, be sure to use 0 placeholders in the standard form to represent place values not accounted for in words. When writing a number in standard notation, use commas to separate the three-digit periods. Count the place values in groups of three, beginning with the ones place and moving left. To assure that your translation is correct, cover the original representation; then translate back to see if you get the same number, in digits or words. DEMONSTRATE YOUR UNDERSTANDING 1. Identify the place name as requested for the number 4,350,927. a) The 2 is in the place. b) The 4 is in the place. c) The 3 is in the place. d) The 0 is in the place. 2. Write the following numbers in standard notation. a) three thousand, six hundred eighty-one b) six hundred fifty-four thousand, twenty-three c) five million, twenty-eight thousand, four hundred four d) seven million, six hundred fifty 3. Write in word form. a) 2,745 b) 378,213 c) 1,003,030 d) 9,000,422,000
12 24 Chapter 1 Whole Numbers IDENTIFY AND CORRECT THE ERRORS Identify and correct the errors in the following translations. The first one has been done for you. Worked Solution What is Wrong Here? 1) Translate thirty-two thousand, four hundred fifty-six to standard form 320,456 2) Translate three million, three hundred to standard form. 3,300,000 3) Translate 5703 to word form. fifty-seven hundred and three Identify the Errors Should be 32 (two digits) in the thousands rather than 320. Correct Process Answer: 32,456 4) Translate 12,000,500 to word form. twelve thousand five hundred ADDITIONAL EXERCISES 1. Write in standard notation: a) eighteen thousand, five hundred forty-two b) seven million, one hundred two thousand, six hundred three c) thiry-nine million, seven hundred sixty d) one billion, two hundred million, three hundred forty-five thousand, one hundred 2. Write in words: a) 498,555 b) 3,002,080 c) 11,000,346 d) 5,018,234,010
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text:
Today's interview is with Dr. Lynn Friedman, a psychologist / psychoanalyst who is an expert on the role of the unconscious in career development. I talked with Dr. Friedman about how people can know when the unconscious is affecting their career and workplace behavior, and what they can do about it. Dr. Friedman, what are ways […]
Archives for March 2015
The Role of the Unconscious in Career Development
ByLast updated: Thursday, November 5, 2015
The Renaissance Soul: How to Make Your Passions Your Life
ByLast updated: Friday, March 6, 2015
The Renaissance Soul: How to Make Your Passions Your Life – A Creative and Practical Guide is a wonderful book for all the people in the world who feel frustrated by the expectation that they should pick just ONE career focus. If it sounds much better to you to follow many (and frequently changing) interests, […]


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