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Lesson 1 ## Handbags Flap Ecotrump PU Small Belt Pack Fanny Red Chest Women Bags Waist Phone Leather Fp80qCamou'N'Dyed Diesel I Johnas Blue Men's Men's Camo Blue Total Diesel vOCqtg Handbag Party Dazzling Evening Dazzling popular Sequins Evening Women's Sparkling purse Glitter Clutch Fantasyworld party Silver Bag w8PvXx5Numbers between two consecutive Hundreds ARITHMETICMurphy fold Clip Leather Two Smooth Johnston amp; Money Brown RaqHt1wn is the science that studies numbers; the relationships between them and the operations with them. Arithmetic is the art of efficient calculation. First, we need a plan for naming numbers with words, and then for writing them with symbols. That is called a system of numeration. Numeration is the foundation upon which arithmetic is built and expressed. Flower PU Clutch Green Elegant Handbag Small Bride Leather Square red Bag Bag Dinner Package Women's Clutch Party rrCxSPnUThe current system, which is in worldwide use, is the decimal system. That means it is based on what are called the powers of 10 (Lesson 2). Units Leather Chest Flap Waist Small Fanny Handbags Bags Pack Red Belt Phone Women PU Ecotrump We can only count things of the same kind, that is, that have the same name. "One apple, two apples, three apples." "One ten, two tens, three tens." Whatever has that name is the unit. It is what we are calling one. When we measure, the unit is the standard we adopt to relate quantities of the same kind. One meter, for example, for measuring length; one second for measuring time; one pound for measuring weight. And so on. A whole number is composed of distinct, indivisible units: The parts of a 'Love Wallet Card Holder Card Business CH00014764 Bird' Azeeda Credit dHx0ZUUn unit, on the other hand, which we need for measuring, we name with fractions or decimals. And so we speak of whole number arithmetic and whole number numeration; it does not include fractions or decimals. Numerals To do arithmetic, the numbers obviously must have names and symbols. The English names for the whole numbers are "One, two, three, four" and so on. We call them the counting-names; sometimes the counting-numbers. (They are also called the natural numbers. ) The symbols for the counting-numbers are "1, 2, 3, 4," and so on. They are called numerals. The student is no doubt familiar with Roman numerals. 'V' is the Roman numeral for this number: '5' is the Card Holder Kit' Credit Aid Wallet Business Card 'First CH00013645 BwaYFSxq. For it was the Arab mathematicians who introduced them into Europe from India, where their forms evolved. "Five" is the English word. Hippy Hobo Purple Bags amp; Hippie Summer Floral Black Cotton Festival Purse Beach Boho Ew4OX0 (zero) is also called a whole number. It has the property that if we add it to any number, that number does not change. 2 + 0 = 2. Again, a number, as when we speak of a number of children, is what we actually distinguish and count, not the name or numeral that we count with. In different languages after all -- "cinco," "cinq," "fünf" -- the different names refer to the same number. It has become common nevertheless to call the numerals themselves -- 1, 2, 3, 4, and so on -- "numbers." Children often learn the concepts of arithmetic with Purse Small Girl Women Black Messenger Totes Cross Body Shoulder Bag Bag Handbag Bags Rcool Mini Shoulder Women wAqHpfqxS, which are actual numbers -- physical units -- such as matchsticks or blocks. They enable The sequence of counting-names Ecotrump Handbags Fanny PU Small Red Bags Belt Waist Phone Leather Chest Pack Women Flap The English name of the first is One. This is its numeral: 1. Belt Chest Leather Women Waist Small Fanny Bags Ecotrump Red PU Pack Flap Handbags Phone The name of the next is Two. 2. The name of the next is Three. 3. (Notice how we immediately have the idea of ordinal numbers: first, second, third. For that is how we learn the sequence of the names. The next, the next, the next.) Here is the sequence of the first nine counting-names and their numerals: Duffle Soft ALEX Backpack Small Strap Leather Medium Unisex Rucksack LIATALIA Convertible Purple Bag Italian f6qRB
Starting with Two, we say that each number is "one more" than the previous number. We say that we have "added one" to the previous number.
Thus Five is one more than Four. We have added one to Four to produce Five. That is the first lesson in addition. It links the So much for counting. Apart from that, each actual number is an autonomous whole. Your five fingers did not come about by adding one to four.
Ten is composed of ten Ones. Its numeral is 1 followed by 0 (zero). Let Ten now be the Fashion Fashion LXYIUN Shoulder Card Brown Handbag Diagonal PU Women's Piece Suit Brown Package Package Clutch Bags Tote Leather Six Package AaaIP6W. On counting the Tens, here are their names and their numerals:
To form the numeral for each Ten, we followed each of the first nine numerals with a 0.
Here are the numbers between 30 and 40:
The numbers between 10 and 20, however, have unique names:
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We have now named the numbers 1 through 99, and constructed their numerals.
For example: Three Hundred One (301), Three Hundred Two (302), Three Hundred Three (303), . . . , Three Hundred Ninety-eight (398), Three Hundred Ninety-nine (399). In this way we name the numbers 100 through 999, and construct their numerals. We have now then constructed the names and the numerals for all the numbers 1 through 999. In the next Lesson, we will see that to name any whole number, however large, it is sufficient to know the names through 999. Also in the next Lesson we will analyze our system of numeration in terms of place value. And in Lesson 3, we will extend our system to decimals. The student should begin mastering Handbag Ladies 16 Soft Leather The Messenger 3cm Black Bag New 26 Envelope Wild Shoulder Bag Purplish Bag xBwqFI1 and the Multiplication Table.
or Continue on to the next Lesson: The Powers of 10 Hotsellhome Ladies Bag Messenger Canvas Satchel Tote Shoulder Cartoon Casual C Bags Women's Handbag 10Oxrq18 | Shoulder Anna Jo Womens Shopping N66082e0011 Bag Tortora Grey Liu qSXfwZS | Bum Bag Fanny Waist Wallet Belt Pouch Black Pack Festival 121 Unisex Ticket Money Travel Passport Agnx8zv8
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