6.7 Section 6.7 Integer Exponents and Scientific Notation
Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.
740. 8,500,000

Respuesta :

Answer:

The decimal number 8,500,000 has been converted to its corresponding scientific notation, which is [tex]$8.5 \times 10^{6}$[/tex].

Step-by-step explanation:

  • Given: The decimal number 8,500,000.
  • We need to convert the number to its corresponding scientific notation.
  • Dissociate the number into the multiples of 10.
  • Adjust the coefficient such that it lies between 1 and 10.
  • Use the format [tex]$a \times 10^{b}$[/tex] to write the final answer.

Step 1 of 1

Remember that the decimal lies at the end of 8,500,000. Move the decimal next to 8 such that the result is greater than 1 and less than 10 . So the decimal point will move 6 places to the left.

As 8,500,000 is greater than 1 so the power of 10 will have an exponent of 6 .

So,

[tex]$8,500,000=8.5 \times 10^{6}$[/tex]

Verifying the result we can see that

[tex]$10^{6}=1,000,000$[/tex]

when multiplied by 8.5 will result in 8,500,000.