Question

How do you multiply two scientific notation values? Explain the steps you would take to find the product of 6.7 × 106 and 3.2 × 105 written in scientific notation.

Answer is: Calculate the product of the coefficients and powers separately. Apply the product of powers rule to add the exponents. The product is not in scientific notation because the coefficient is greater than 10. Change the coefficient by moving the decimal one place to the left and increasing the exponent by one.

Answer 1

Yes that is correct

The answer to the above is 

2.144 * 10^12

Answer 2

In scientific notation the product is written as  $(2.144)\times10^{12}$.

Given,

Two scientific notation values are $6.7\times10^6$ and $3.2 \times10^5$.

We have to explain the steps to find the product of these values.

Scientific notation:

Scientific notation is a widely used floating-point system in which numbers are expressed as products consisting of a number between 1 and 10 multiplied by an appropriate power of 10.

For the product of the above values we multiply coefficients separately like

$(6.7\times3.2=21.44)$

and powers of 10 separately

$(10^6\times10^5=10^{11} )$.

So,

$6.7\times10^6 \times 3.2\times10^5=(6.7\times3.2)\times(10^6\times10^5)$.

$6.7\times10^6 \times 3.2\times10^5=(21.44)\times10^{11}$

Or, in scientific notation form,

$6.7\times10^6 \times 3.2\times10^5=(2.144)\times10^{12}$.

Hence, in scientific notation the product is written as  $(2.144)\times10^{12}$.

For more details on scientific notation follow the link:

https://brainly.com/question/1740231