When multiplying two numbers written in scientific notation, what do you do with the exponents of the 10?
a. multiply
b. add***
c. subtract
d. divide
yes
3*10^1 * 3*10^5 = 9*10^6
because
x^a * x^b = x^(a+b)
thank you for actually explaining instead of just giving me the answer, like most people do on here.
When multiplying two numbers written in scientific notation, you need to add the exponents of 10. Therefore, the correct answer is b. add.
To multiply two numbers written in scientific notation, you will need to multiply their coefficients and add their exponents of the 10. So, the correct answer is b. add.
To demonstrate this, let's take an example:
Suppose we have two numbers:
4.68 × 10^3 and 2.35 × 10^2
First, we multiply the coefficients:
4.68 × 2.35 = 10.998 (rounded to three decimal places)
Next, we add the exponents of the 10:
10^3 + 10^2 = 10^5
Combining the coefficient and exponent, we get the result in scientific notation:
10.998 × 10^5
In this case, the exponent of the 10 increased, indicating that the result is a larger number.