A Use scientific notation to perform the calculations Give t

A)

Use scientific notation to perform the calculations. Give the answer in scientific notation and standard notation.

(2 10^9)/(4 10^5)

(scientific notation)_________________

(standard notation)__________________

B)

Use scientific notation to perform the calculations. Give the answer in scientific notation and standard notation.

(3 times 10^ -12)(2 times 10 ^10)

(scientific notation)____________

(standard notation)____________

C)

Use scientific notation to perform the calculations. Give the answer in scientific notation and standard notation.

(3.4 times 10^ -14)(6 times 10 ^12)

(scientific notation)­­­­­­_____________

(standard notation)______________

D)

Use scientific notation to perform the calculations. Give the answer in scientific notation and standard notation.

(4.4 × 10^5 )/(1.1 × 10^7)

scientific notation           ­­­­­­­­­­­­__________× 10

standard notation           ____________

Solution

A) 2 x10⁹/ 4x10⁵ = ( 2/4)x 10^9-5 = (1/2)10⁴ = (0.5)x10⁴ = 5x10³

             Scientific notation: 5 x 10³

Standard notation: 5000

      B) 10^-12 x 2(10¹⁰) = 2 x 10^10-12 = 2x 10^-2

Scientific notation: 2 x 10^-2

Standard notation: .02

C) (3.4x 10^-14)(6x10¹²) = 3.4x6 (10^-14+12) = 20.4(10^-2) = 2.04x 10^-1

Scientific notation: 2.04x10^-1

Standard notation: .204

D) (4.4x10⁵)(1.1x10⁷) = 4.4x1.1(10⁵⁺⁷ ) = 4.84x10¹²

Scientific notation: 4.84x 10¹²

Standard notation: 4840000000000