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 1

Answer:

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.

Step-by-step explanation:

This is the sample response from Edge.  

Answer 2

The product of $6.7 * 10^6$ and $3.2 * 10^5$ written in scientific notation $2.144 * 10^{12}$ .

What is scientific notation ?

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

We have,

$6.7 * 10^6$ and $3.2 * 10^5$

Steps;

To multiply numbers in scientific notation,

First multiply the numbers that are not powers of $10$ i.e. the decimal numbers.

Then add the exponents of the powers of $10$ i.e. multiply ten to the power numbers.

Now, Convert the new number into scientific notation form.

So, to find product Scientific notation;

$6.7 * 10^6 *\ 3.2 * 10^5$

First multiply decimal numbers;

$21.44 * 10^6 * 10^5$

Now, Multiply ten to the power numbers;

$21.44 * 10^{6+5}$

$21.44 * 10^{11}$

Now, Convert the new number into scientific notation form.

i.e.

$2.144*10^{12}$

So, this is the new number in scientific notation .

Hence, we can say that the product of $6.7 * 10^6$ and $3.2 * 10^5$ written in scientific notation $2.144 * 10^{12}$ .

To know more about scientific notation click here

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