Question

Perform the following calculations. Express your answers in scientific notation. Show all work.

a. (7.6 x 10^-4 m) x (1.5 x 10^7 m)

b. 0.00053 divided by 29

Answer 1

a=1.14x10^4m

b=52/2900000 or 1.82759x10^-5

Step-by-step explanation:

a.)

we use the commutative property to reorder them

(7.6x1.5)x(10^-4x10^-7)

then we multiply the numbers

11.4x10^-4+7

the we calculate the powers

11.4x10^3

then we write the number in scientific notation

1.14x10^4

b.)

firstly we convert the decimal into a fraction

53/100000 divided by 29

in order to do the next step we use multiplication by reciprocal

53/100000x1/29

then we multiply the fractions

53/2900000