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How do you write 3.17×1023.17 \times 10^2 in standard form?\newline_____

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Q. How do you write 3.17×1023.17 \times 10^2 in standard form?\newline_____
  1. Move Decimal Two Places: To write the number 3.17×1023.17 \times 10^2 in standard form, we need to move the decimal point in 3.173.17 two places to the right, because the exponent on 1010 is 22. This is because "×102\times 10^2" means "times 100100".
  2. Multiply by Powers of 1010: Moving the decimal point two places to the right in 3.173.17 gives us 317317. This is because each power of 1010 we multiply by shifts the decimal point one place to the right.
  3. Final Standard Form: Therefore, 3.17×1023.17 \times 10^2 in standard form is 317317.

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