When multiplying two numbers in scientific notation, what
operations do you use on the coefficients and the
exponents of the powers of 10? (1 point)
Add the coefficients and add the exponents of the
powers of 10.
Add the coefficients and multiply the exponents of the
powers of 10.
Multiply the coefficients and multiply the exponents of
the powers of 10.
Multiply the coefficients and add the exponents of the
powers of 10.
Multiply the coefficients and add the exponents of the powers of 10.
To multiply two numbers in scientific notation, you need to multiply the coefficients and add the exponents of the powers of 10.
When multiplying two numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.
To understand how to do this, you need to first know how scientific notation is written. In scientific notation, a number is expressed as the product of a coefficient and a power of 10. The coefficient is a number greater than or equal to 1 and less than 10, and the exponent represents the number of places the decimal point needs to move for the number to be in standard notation.
For example, 2.5 x 10^3 is in scientific notation, where 2.5 is the coefficient and 3 is the exponent of the power of 10.
To multiply two numbers in scientific notation, you first multiply their coefficients. So if you have 2.5 x 10^3 and 3 x 10^4, you would multiply 2.5 and 3 to get 7.5 as the new coefficient.
Next, you add the exponents of the powers of 10. In this case, 10^3 and 10^4, you would add 3 and 4 to get 7 as the new exponent.
So the product of 2.5 x 10^3 and 3 x 10^4 would be 7.5 x 10^7.
Therefore, the correct answer is to multiply the coefficients and add the exponents of the powers of 10.