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

Answer:

scientific notation is 2.144 ×$10^{12}$ .

Step-by-step explanation:

Given : 6.7 ×$10^{6}$ and 3.2×$10^{5}$ .

To find :How do you multiply two scientific notation values and write steps.

Solution : We have given that 6.7 ×$10^{6}$ and 3.2×$10^{5}$ .

Step 1 : First we multiply the coefficient of both expression .

6.7 × 3.2 = 21.44

Step 2: Now we multiply the power of both expression separately and will apply the exponent rule $x^{m} *x^{n} = x^{m+n}$.

$10^{6} *10^{5} = 10^{11}$.

Step3 : now we will combine coefficient and power

21.44 ×$10^{11}$ .

Step 4 : Change the coefficient by moving the decimal one place to the left and increasing the exponent by one.

2.144 ×$10^{12}$ .

Therefore, scientific notation is 2.144 ×$10^{12}$ .

Answer 2

Yes that is correct

The answer to the above is 

2.144 * 10^12