Answer
The average dollar amount each beneficiary receives is $\frac{7.78}{5.6}$ $\times$ $10^{4}$, or approximately 1.38928571429 $\times$ $10^{4}$.
Work Step by Step
We need to write 778,000,000,000 as the product of a number greater than or equal to 1 and less than 10, and an integral power of 10.
The number greater than or equal to 1 and less than 10 will be 7.78
The decimal point has moved 11 places, so the exponent of 10 will be 11.
So, 778,000,000,000 = 7.78 $\times$ $10^{11}$
Also, we need to convert 56,000,000 to scientific notation. We follow the same procedure.
The number greater than or equal to 1 and less than 10 will be 5.6
The decimal point has moved 7 places, so the exponent of 10 will be 7.
So, 56,000,000 = 5.6 $\times$ $10^{7}$
To find the average dollar amount each beneficiary receives, we divide 7.78 $\times$ $10^{11}$ by 5.6 $\times$ $10^{7}$.
So, $\frac{7.78 \times 10^{11}}{5.6 \times 10^{7}}$ = $\frac{7.78}{5.6}$ $\times$ $10^{11-7}$ = $\frac{7.78}{5.6}$ $\times$ $10^{4}$
The average dollar amount each beneficiary receives is $\frac{7.78}{5.6}$ $\times$ $10^{4}$, or approximately 1.38928571429 $\times$ $10^{4}$.
