Question

6.7 Section 6.7 Integer Exponents and Scientific Notation

Answer 1

Answer:

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

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 $a \times 10^{b}$ 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,

$8,500,000=8.5 \times 10^{6}$

Verifying the result we can see that

$10^{6}=1,000,000$

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