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Complete the statements Matthias performed an operation with 7.6 and a number he ended up moving the decimal point in 7.62 places to the left Matthias 10 raised to the power of Irene performed an operation with 83.904 in a number She ended up moving the decimal point and 83.9044 places to the right Irene 10 raised to the power of

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Let's complete the statements based on the operations involving moving the decimal point.

  1. Matthias performed an operation with 7.6 and a number, and he ended up moving the decimal point in 7.6 2 places to the left. This means he multiplied 7.6 by 10 raised to the power of -2 (since moving the decimal point to the left corresponds to a negative exponent):

    • Matthias performed 7.6 * 10^(-2).

  2. Irene performed an operation with 83.904 and a number, and she ended up moving the decimal point in 83.904 4 places to the right. This means she multiplied 83.904 by 10 raised to the power of 4 (since moving the decimal point to the right corresponds to a positive exponent):

    • Irene performed 83.904 * 10^(4).

So, combining that information, we have:

  • Matthias performed 7.6 * 10^(-2).
  • Irene performed 83.904 * 10^(4).