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Express 150,000,000 km in words (International System of Numeration) and standard form.

Mathematics

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Step-by-step solution

2 steps
  1. Write the number in words using the International System of Numeration.

    The given distance is 150,000,000 km.
    In the International System of Numeration, we group digits in threes from the right.
    150,000,000 is read as one hundred fifty million.

  2. Write the number in standard form (scientific notation).

    To write 150,000,000 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
    Move the decimal point from the end of the number to the left until there is only one non-zero digit before the decimal point.
    150,000,000.
    Moving the decimal point 8 places to the left gives 1.5.
    The number of places moved determines the exponent of 10. Since we moved it 8 places to the left, the exponent is 8.
    So, 150,000,000=1.5×108150,000,000 = 1.5 \times 10^8.

    The distance from Earth to the Sun is:
    In words: One hundred fifty million km
    In standard form: \boxed{\text{1.5 \times 10^8 km}}

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