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Express 57,00,000 and 8,04,30,000 in scientific notation.

Mathematics

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2 steps
  1. Express 57,00,000 in scientific notation.

    To write a number in scientific notation, we move the decimal point so that there is only one non-zero digit to the left of the decimal point. The number of places the decimal point is moved determines the exponent of 10.
    For 57,00,000:
    The decimal point is initially at the end of the number (57,00,000.).
    Move the decimal point to the left until it is after the first non-zero digit (5).
    5.700000
    The decimal point moved 6 places to the left.
    So, 57,00,000=5.7×10657,00,000 = 5.7 \times 10^6.

  2. Express 8,04,30,000 in scientific notation.

    For 8,04,30,000:
    The decimal point is initially at the end of the number (8,04,30,000.).
    Move the decimal point to the left until it is after the first non-zero digit (8).
    8.0430000
    The decimal point moved 7 places to the left.
    So, 8,04,30,000=8.043×1078,04,30,000 = 8.043 \times 10^7.

    The numbers in scientific notation are:

    (i) \boxed{\text{5.7 \times 10^6}}

    (ii) \boxed{\text{8.043 \times 10^7}}

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