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App\Entity\MediaTranslation {#1373
  -id: 6758
  -title: "Meaning of operations"
  -description: """
    <p>In the course of man&rsquo;s evolution, questions have been raised about how to assess the population of a herd, the production of a crop, the size of a property, the days that separate him from an event, the sharing of an inheritance &hellip; He put in place the tools of enumeration and the rules of calculation. Numbers and operations form the basis of mathematical language.</p>\r\n
    \r\n
    <p>Four elementary operations translate the notions &quot;I have more&quot;, &quot;I have less&quot;, &quot;I repeat&quot;, &quot;I share&quot;. A mathematical operation associates numbers (operands) with a mathematical sign (the operator): +, -, &times;, &divide;. A mathematical operation involves collections of objects (or quantities) of the same nature.</p>
    """
  -legends: """
    Addition\n
    Subtraction\n
    Multiplication\n
    Division\n
    Sum\n
    Difference\n
    Product\n
    Quotient\n
    Left-over\n
    What is\n the sum ?\n
    What is\n the difference ?
    """
  -goals: """
    <ul>\r\n
    \t<li>To exploit different meanings of addition, subtraction, multiplication and division with collections of objects.</li>\r\n
    \t<li>To represent natural numbers in different ways: associate a number with a set of objects.</li>\r\n
    \t<li>To introduce the commutative or non-commutative property of operations.</li>\r\n
    </ul>
    """
  -more: """
    <p><strong>Addition concept:</strong><strong>Addition</strong> means to gather collections of objects of the same nature. The result of the addition is called the <strong>sum</strong>, it corresponds to the enumeration of all the objects together.</p>\r\n
    \r\n
    <p>5 bananas plus 3 oranges is equal to 8 fruits, the operation is written 5 + 3 = 8. 5 and 3 are the terms of the addition, 8 is the sum.</p>\r\n
    \r\n
    <p>10 green apples plus 5 red apples is equal to 15 apples: 10 + 5 = 15. When reversed, the two terms give the same result: 5 green apples plus 10 red apples is equal to 15 apples: 5 + 15 = 15. The addition is <strong>commutative.</strong></p>\r\n
    \r\n
    <p><em>Formulation of the problem</em>: Lea harvested 5 apples in her basket. Louis has 8 apples in his basket. How many apples harvested Lea and Louis? What number is the sum? How many apples should Louis have in his basket to get a dozen apples? ...</p>\r\n
    \r\n
    <p><strong>Subtraction concept:</strong></p>\r\n
    \r\n
    <p><strong>To subtract </strong>means to reduce a collection of objects. The result of the subtraction is called the <strong>difference</strong>, it describes the difference between the initial quantity of objects and the number of objects removed,</p>\r\n
    \r\n
    <p>5 apples removed from the basket of 15 leaves 10 apples. The operation is written 15 - 5 = 10. The two terms of the subtraction can not be swapped: it is not possible to remove 10 objects from a collection which counts only 5. The subtraction is not commutative.</p>\r\n
    \r\n
    <p><em>Formulation of the problem</em>: Lea has picked 13 apples, she gives an apple to her 5 friends, each of them enjoys apples. How many apples are left in Lea&#39;s basket? How much does it take to distribute apples so that there are about ten apples remaining in her basket? ...&nbsp;</p>\r\n
    \r\n
    <p><strong>Multiplication concept:</strong></p>\r\n
    \r\n
    <p><strong>Multiplying </strong>means repeating an addition several times. The result of multiplication is called the <strong>product</strong>.&nbsp;Multiply 5 by 3 amounts to calculating a sum of three terms: 5 + 5 + 5. The operation is written as 5 &times; 3 = 15 and is &quot;5 multiplied by 3&quot; or &quot;3 times 5&quot;. 5 and 3 are the <strong>factors</strong>, 15 is the product. Reversing the order of the factors gives the same result: 3&nbsp;&times;&nbsp;5&nbsp;=&nbsp;3&nbsp;+&nbsp;3&nbsp;+&nbsp;3&nbsp;+&nbsp;3&nbsp;+&nbsp;3&nbsp;=&nbsp;15. The multiplication is <strong>commutative</strong>.</p>\r\n
    \r\n
    <p>Multiplication makes it easy to count objects organized in rows and columns. The product is interpreted as a &quot;rectangle number&quot;.</p>\r\n
    \r\n
    <p><em>Formulation of the problem</em>: Louis comes back from picking apples. He divides his crop into 5 baskets, each basket contains 8 apples. How many apples did Louis pick?</p>\r\n
    \r\n
    <p><strong>Division concept:</strong></p>\r\n
    \r\n
    <p><strong>To divide </strong>means to share a collection of objects in equal shares. The result of the division is called the <strong>quotient</strong>, it corresponds <strong>to the number of elements contained in a part</strong>.</p>\r\n
    \r\n
    <p>15 divided by 3 amounts to sharing 15 in three equal parts. The operation is written: 15 &divide; 3 = 5. 15 is the <strong>dividend</strong>, 3 is the <strong>divisor</strong>. The quotient is 5. When the division is complete, the division is said to be exact. If at the end of the equitable sharing, there remain elements that can not be distributed, the division is said to be with <strong>rest</strong>.</p>\r\n
    \r\n
    <p><em>Formulation of the problem</em>: 5 friends share 20 apples. How many apples do each have? 5 friends share 23 apples. How many apples do each have? is there any left?</p>
    """
  -scenario: null
  -features: "<p>Modify the operands using the arrows.&nbsp;<strong>Click</strong> on the result to display or hide it.</p>"
  -publishedAt: DateTimeImmutable @1526515200 {#1371
    date: 2018-05-17 00:00:00.0 UTC (+00:00)
  }
  -preventIndexForSearch: false
  #locale: "en"
  #translatable: App\Entity\Media {#1308 …}
  #status: "published"
  #createdAt: DateTime @1505450559 {#1368
    date: 2017-09-15 04:42:39.0 UTC (+00:00)
  }
  #updatedAt: DateTime @1699086974 {#1370
    date: 2023-11-04 08:36:14.0 UTC (+00:00)
  }
}
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