10 to the power of x

Why we do not add the exponents but multiply it?

  • The Addition of another place value of 0-9 numbers leads to the addition of 10 combinations of those 0-9 numbers.

    Tens Place Value

    Ones Place Value

    0

    0

    1

    1

    2

    2

    3

    3

    4

    4

    5

    5

    6

    6

    7

    7

    8

    8

    9

    9

  • E.g (0-9) is a single-digit (Ones place value. But just by the addition of another digit (tens place value) also added the 10 more possibilities of each of those single-digit numbers…

  • Hence it was called Ten place value or (to the power of 10 as there are 10 possibilities)

    Notice here there are 10 possibilities of number 1 (E.g. Numebr 1 can we associated with number 0-9 like 10, 11, 12, 13, 14, 15, 16, 17, 18, 19). Similarly number 2,3,4,5,6,7,8,9 & 0 (each number can be associated with each other for 10 times.

  • Hence it is called Base 10 & 10 to the power of 0-9.

  • BECAUSE THERE ARE NUMBER OF POSSIBLITIES HENCE WE DO NOT ADD BUT MULTIPLY THE EXPONENT.

Reference:

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