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How do you write 7,3607,360 in scientific notation?\newline______×10______\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}

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Convert between standard and scientific notationright chevron icon

Full solution

Q. How do you write 7,3607,360 in scientific notation?\newline______×10______\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}
  1. Find Coefficient: Determine the coefficient for 7,3607,360 in scientific notation.\newlineTo find the coefficient, we need to move the decimal point to the left until we have a number between 11 and 1010.\newline7,3607,360 becomes 7.367.36 when we move the decimal point three places to the left.\newlineCoefficient: 7.367.36
  2. Determine Sign: Decide whether the exponent in scientific notation will be positive or negative.\newlineSince 7,3607,360 is greater than 1010, the exponent in scientific notation will be positive.
  3. Calculate Exponent: Calculate the exponent for 7,3607,360 in scientific notation.\newlineWe moved the decimal point three places to the left to get the coefficient 7.367.36.\newlineTherefore, 7,360=7.36×1037,360 = 7.36 \times 10^3.\newlineExponent: 33
  4. Write in Scientific Notation: Write 7,3607,360 in scientific notation using the coefficient and exponent.\newlineSubstitute 7.367.36 for the coefficient and 33 for the exponent in the expression a×10ba \times 10^b.\newlineScientific notation: 7.36×1037.36 \times 10^3

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