The distance between the earth and the sun is 150 million kilometers. This distance can be written in scientific notation as 1.5 × 10 x kilometers. The value of x is .

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The distance between the earth and the sun is 150 million kilometers. This distance can be written in scientific notation as   1.5  ×      10    x   kilometers. The value of  x is .

drasticazuu · Accepted Answer

Given:The distance between the earth and the sun is 150 million kilometers. The scientific notation of 150 million kilometers is   1.5  ×      10    x   kilometers.Expressing 150 million kilometers in scientific notationStep 1:Exponentiate the distance provided. 150 million kilometers can be written as 150.0×106 in exponent form.Step 2:Move the decimal point 2 places to the left so that the decimal point positioned to the right of the leftmost non-zero digit 1.Step 3:Here, we use a positive integer 2 as an exponent to the base 10 because the decimal point is 2 places to the left. ∴  150.0  ×      10    6    =  1.5  ×      10    2    ×      10    6  Applying exponent rule: am×an=a(m+n)  =  1.5  ×      10          2      +      6        =  1.5  ×      10    8  Therefore, 150 million kilometers can be written as   =  1.5  ×      10    8   kilometers in scientific notation.Now, according to the question:  1.5  ×      10    x    =  1.5  ×      10    8  In the above equation, since the coefficients and bases are the same, for equality, the exponents must also be the same. ⟹x=8Therefore, the value of x is 8.

The distance between the earth and the sun is 150 million kilometers. This distance can be written in scientific notation as 1.5xx10^x kilometers. The value of x is .

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