Question

PLEASE HELP MATH. WILL GIVE BRAINLIST AND TONS OF POINTS

Answer 1

Answer:

$\sf 11,600,000,000,000 = 1.16 \times 10^{13}$

$\sf 307,000,000=3.07 \times 10^{8}$

$\sf 3.78\times 10^{4}$

Step-by-step explanation:

Scientific notation:  $\sf a \times 10^b$

(where $\sf 1 \leq |a| < 10$ and b is the power of 10 required so that the notation is equivalent to the original number)

Move the decimal point back 13 places then multiply by $\sf 10^{13}$:

$\sf 11,600,000,000,000 = 1.16 \times 10^{13}$

Move the decimal point back 8 places then multiply by $\sf 10^{8}$:

$\sf 307,000,000=3.07 \times 10^{8}$

Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:

$\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}$

Apply exponent rule $\dfrac{a^b}{a^c}=a^{b-c}$

$\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}$

                   $\sf =0.378\times 10^{5}$

                   $\sf =3.78\times 10^{4}$

(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)