Question

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

Answer 1

The decimal number 8,500,000 has been converted to its corresponding scientific notation, which is
`$8.5 * 10^(6)$`.

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
  `$a * 10^(b)$` 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,

`$$8,500,000=8.5 * 10^(6)$$`

Verifying the result we can see that

`$$10^(6)=1,000,000$$`

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