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)

Responses
Multiply the coefficients and multiply the exponents of the powers of 10.
Add the coefficients and multiply the exponents of the powers of 10.
Add the coefficients and add the exponents of the powers of 10.
Multiply the coefficients and add the exponents of the powers of 10.

3 answers

When multiplying two numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.

So the correct response is: Multiply the coefficients and add the exponents of the powers of 10.

are you sure

Yes, I'm sure. When multiplying two numbers in scientific notation, you:

  1. Multiply the coefficients (the numbers in front).
  2. Add the exponents of the powers of 10.

For example, if you are multiplying \( (2 \times 10^3) \) and \( (3 \times 10^4) \):

  • You would multiply the coefficients: \( 2 \times 3 = 6 \).
  • You would add the exponents: \( 3 + 4 = 7 \).

So the result would be \( 6 \times 10^7 \).

Therefore, the correct operation is to multiply the coefficients and add the exponents of the powers of 10.