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Express 0.000875 in scientific notation

Sagot :

0.000875 in scientific notation : 8.75 x 10⁻⁴

Further explanation

Scientific Notation is a standard form of writing numbers, either big or small values.  

Writing rules:  

  • By writing the first digit, then the decimal point is placed after the first digit, followed by the next digit  
  • Then followed by powers of 10 (can be positive or negative)  

To determine the power of 10 :

  • 1. for numbers > 10, the decimal point has to move to the left after the first digit integer ⇒ the power of 10 is positive.  
  • 2. for number < 1, the decimal point has to move to the right after the first digit integer ⇒ the power of 10 is negative  

Number 0.000875

Because number <1, then the decimal point has to move to the right until the first digit integer (number 8) and we calculate the displacement of this new decimal point from the initial decimal point, and this is a negative value for the power of 10  

0.000875 (initial decimal point) ⇒ 8.75 (new decimal point)  

displacement of the new decimal point from the initial decimal point = 4  

so the Scientific Notation: 8.75 x 10⁻⁴

Learn more  

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