Question

The approximate value of 4 times 10 Superscript 9 divided by left parenthesis 1.5 times 10 Superscript 6 right parenthesis is

Answer 1

2.7 x 10(3)

Explanation:

Answer 2

`\boxed{2.7 * 10^(3)}`

Explanation:

`(4 * 10^(9))/(1.5 * 10^(6))`

1. Divide the coefficients and the exponentials separately

`(4 * 10^(9))/(1.5 * 10^(6)) = (4)/(1.5) * (10^(9))/(10^(6))`

2. Divide the coefficients

`(4)/(1.5) \approx 2.7`

3. Divide the exponential terms

Subtract the exponent in the denominator from the exponent in the numerator.

`(10^(9))/(10^(6)) = 10^((9 - 6)) = 10 ^(3)`

4. Rejoin the new coefficient and the new exponential

`(4 * 10^(9))/(1.5 * 10^(6)) \approx \boxed{\mathbf{2.7 * 10^(3)}}`