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4 June, 16:10

Explain how the cartons and boxes for table tennis balls are like the digits for numbers in our base-10 number system.

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  1. 4 June, 18:01
    0
    To explain the cartoons and the boxes for table tennis balls are like the digits for numbers in base-10 number system

    Here we know that, the number of table tennis balls in one box = 10 balls

    and the number of table tennis balls in boxes in each cartoon = 10 balls

    Therefore, The number of table tennis balls in each cartoon = 10*10=100 balls

    Hence for the number of balls, the hundreds place tells the number of cartoons and tens place tells the number of boxes which left as remainder or without cartoon.

    For example if the total tennis balls = 540 then its hundreds place i. e 5 tells the number of cartoons and its tens place i. e. 4 tells the number of boxes which left as remainder or without cartoon.
  2. 4 June, 19:08
    0
    Base 10 Number System = (0,1,2,3,4,5,6,7,8,9)

    In a Carton of table tennis there are 10 boxes.

    And Each Box can Hold 10 Balls. and if i mark boxes from 0 to 9, then

    then there are 10 boxes, Total number of Balls=100

    So if I represent a single Carton by A, then

    A[single carton] = {0,1,2,3,4,5,6,7,8,9} = 10 boxes = 100 balls

    B [2 carton] = 20 boxes=200 balls

    C[ 5 cartons + 3 Boxes] = 5 * 100 + 3*10 = 530 balls

    D[ 12 cartons + 8 Boxes] = 12*100+8*10=1280 balls

    Now you can see,

    Each carton is holding the balls in decimal number system.

    Boxes = Ten's place in number system,

    Number of cartons = either Hundred place or thousand place or more than that

    In this way we can represent Carton and Box for table tennis balls in decimal number system having base 10.
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