Evaluate Using Scientific Notation (8.410^6)/(2.010^-2)

Solution

scientific

\frac{( 8.4 \cdot 1 0 ^{6} )}{( 2 \cdot 1 0 ^{- 2} )}

4.2 \times 1 0^{8}

Decimal

420000000

Solution steps

Remove parentheses

= \frac{8.4 \times 1 0 ^{6}}{2 \times 1 0 ^{- 2}}

Scientific notation is in the form

a \times 1 0^{b}

where

1 \leq a < 10

and

b

is an integer.

Divide decimals and the powers of 10 separately

Simplify

\frac{8.4}{2} : 4.2

\frac{1 0 ^{6}}{1 0 ^{- 2}} = 1 0^{8}

= 4.2 \times 1 0^{8}

sc i e n t i f i c 53010000

sc i e n t i f i c 700000000

sc i e n t i f i c 200000000

sc i e n t i f i c 300000000

d e g 2 r a d - 6 0^{\circ}