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How do you write 6.13×1056.13 \times 10^5 in standard form?\newline_____

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Q. How do you write 6.13×1056.13 \times 10^5 in standard form?\newline_____
  1. Move Decimal Point Right: To write the number 6.13×1056.13 \times 10^5 in standard form, we need to move the decimal point 55 places to the right, because the exponent on 1010 is 55. This is because multiplying by 10510^5 means the number is 100,000100,000 times larger.
  2. Add Zeros if Needed: We start with 6.136.13 and move the decimal point 55 places to the right. If there are not enough digits, we add zeros to fill in the places. So, moving the decimal point 55 places to the right, we get 613000613000.
  3. Number in Standard Form: Now we have the number in standard form. There is no need to add any more digits or decimal points, as we have moved the decimal point the correct number of places as indicated by the exponent on 1010.

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