1Why is 3x104 x 4x 106 not 12x 1010 in scientific notation 2

1.Why is (3x10^4) x (4x 10^6) not 12x 10^10 in scientific notation?

2. write 45,000,000 x 220,000,000,000 in scientific notation; then compute must be sure the anwser is in scientific notation

Solution

1. While the value is correct it is not correctly written in scientific notation, since the coefficient is not between 1 and 10. We then must move the decimal point over to the left until the coefficient is between 1 and 10. For each place we move the decimal over the exponent will be raised 1 power of ten.

2. 4.5 x 10^7 x 2.2 x 10^11=9.9x10^18