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Write in scientific notation: 0.000467 and 32000000

Question

Write in scientific notation: 0.000467 and 32000000

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Solution

To write the numbers 0.000467 and 32000000 in scientific notation, follow these steps:

  1. For 0.000467:

    • Identify the first non-zero digit. In this case, it's 4.
    • Move the decimal point to the right of this digit. This gives us 4.67.
    • Count the number of places you moved the decimal point. In this case, it's 4 places to the right.
    • Write the number as a product of the new number and 10 raised to the negative of the number of places you moved the decimal point. This gives us 4.67 x 10^-4.
  2. For 32000000:

    • Identify the first non-zero digit. In this case, it's 3.
    • Move the decimal point to the right of this digit. This gives us 3.2.
    • Count the number of places you moved the decimal point. In this case, it's 7 places to the left.
    • Write the number as a product of the new number and 10 raised to the number of places you moved the decimal point. This gives us 3.2 x 10^7.

So, 0.000467 in scientific notation is 4.67 x 10^-4 and 32000000 in scientific notation is 3.2 x 10^7.

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