Explain how you would write the number \( 7.6 \times 10^{-9} \) in standard form. Part: \( \mathbf{0 / 2} \) Part 1 of 2 Move the decimal point nine places to the (Choose one) \( \mathbf{~} \)
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To write the number \( 7.6 \times 10^{-9} \) in standard form, you would move the decimal point nine places to the left. This is because the exponent is negative, which indicates that the number is very small. So, starting from \( 7.6 \), when you shift the decimal nine places, you'll fill the empty places with zeros, resulting in \( 0.0000000076 \). For a bit of context, scientific notation is incredibly useful in fields like chemistry and physics for representing very large or small quantities, such as the mass of particles or distances in space. Using this notation allows for simpler calculations and clearer communication of such values, avoiding the cumbersome practice of writing out long strings of zeros!