The numbers will be easiest to work with if they are in scientific notation.
B
b
The numbers will be easiest to work with if they are in scientific notation.
C
c
Use the formula to calculate percent increase.
A
a
Approximately $ 19 936 per person
B
b
Approximately $26 642 per person
C
c
Approximately 34 %
Practice makes perfect
a
To find how much the government owed per person, we need to divide the total debt by the population. This will give us units of dollars per person.
Debt/Population = $5.63trillion/282.4million peopleThese numbers will be easiest to divide if we convert them to scientific notation. To put $5.63 trillion in scientific notation, recall that trillion represents 10^(12). Therefore, $5.63 trillion can be represented as $5.63 * 10^(12).
$5.63 trillion ⇒ $5.63 * 10^(12)
To put 282.4 million into scientific notation, recall that million represents 10^6. Therefore, 282.4 million can be represented as 282.4 * 10^6. To finish putting this in scientific notation, we need to shift the decimal two places.
282.4 million ⇒ 282.4 * 10^6 ⇒ 2.824 * 10^8
Now that these numbers are in scientific notation, we can divide them.
We have found that the government owed approximately $19 936 per person in the year 2000.
b
We will again divide the debt by the population.
Debt/Population = $7.91trillion/296.9 million peopleThese numbers will be easiest to divide if we convert them to scientific notation. To put $7.91 trillion in scientific notation, recall that trillion represents 10^(12). Therefore, $7.91 trillion can be represented as $7.91 * 10^(12).
$7.91 trillion ⇒ $7.91 * 10^(12)
To put 296.9 million into scientific notation, recall that million represents 10^6. Therefore, 296.9 million can be represented as 296.9 * 10^6. To finish putting this in scientific notation, we need to shift the decimal two places.
296.9 million ⇒ 296.9 * 10^6 ⇒ 2.969 * 10^8
Now that these numbers are in scientific notation, we can divide them.
In the year 2005, the government owed approximately $26 642 per person.
c
First, we need to know the formula for percent increase. To calculate percentage increase from 2000 to 2005, we will first subtract the value from 2005 minus the value from 2000. Then, we will divide by the value from 2000. To get a percentage we will multiply this value by 100.
Value from 2005 - Value from 2000/Value from 2000 * 100 %
We can now input our values into this formula and solve.
