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How do you write 5.38×1045.38 \times 10^4 in standard form?\newline_____

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Q. How do you write 5.38×1045.38 \times 10^4 in standard form?\newline_____
  1. Move Decimal Point: To write the number 5.38×1045.38 \times 10^4 in standard form, we need to move the decimal point 44 places to the right, because the exponent on 1010 is 44. This is because multiplying by 10410^4 is the same as multiplying by 1010 four times, which shifts the decimal point four places to the right.
  2. Add Zeros if Needed: We start with 5.385.38 and move the decimal point 44 places to the right. This gives us 5380053800. If there are not enough digits to move the decimal point the required number of places, we add zeros to fill in the gaps.
  3. Final Standard Form: After moving the decimal point, we have the number in standard form: 5380053800. There is no need to write the trailing zeros after the decimal point since they do not affect the value of the number.

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