Question

Describe the procedure for multiplying two numbers in scientific notation. Then find the product of (7.2x10^-1)(6x10^-1)

A.multiply the first factors, then subtract the exponents of the powers of 10.
B. Add the first factors, then multiply the exponents of the powers of 10
C. Multiply the first factors, then add the exponents of the powers of 10
D. Add the first factors, then add the exponents of the powers he powers of 10

Answer 1

To multiply two numbers in scientific notation, multiply the coefficients and add the exponents of the powers of 10. The product of (7.2x10^-1)(6x10^-1) is (43.2) x (10^-2).

Step-by-step explanation:

To multiply two numbers in scientific notation, follow these steps:

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

For the example given, the correct procedure would be:

(7.2 x 10^-1) x (6 x 10^-1) = (7.2 x 6) x (10^-1 + 10^-1) = (43.2) x (10^-2)

So the correct answer is option C: Multiply the first factors, then add the exponents of the powers of 10.