Question

Multiply (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19). Express the answer in scientific notation.

3.6 ⋅ 109
3.6 ⋅ 1010
36 ⋅ 109
36 ⋅ 1010

Answer 1

3.6 × 10^9

Explanation:

When multipliying two numbers in scientific notation, the exponents in the factor of 10 will be added when the two expressions are multiplied.

Thus (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19) = ( 1.2 × 3 )

( 10^28 × 10^-19 ) = 3.6 × 10^(28-19) = 3.6 × 10^9