Q63. - Algebra 2

Question

Writing in MATH Answer the question that was posed at the beginning of the lesson.

Why is scientific notation useful in economics?

Include the following in your answer:

• the2000 national debt of$\mathbf{5},\mathbf{674},\mathbf{200},\mathbf{000},\mathbf{000}$ and the U.S. population of$281,000,000$

both written in words and in scientific notation, and

• an explanation of how to find the amount of debt per person, with the

result written in scientific notation and in standard notation.

Step-by-Step Solution

Answer

• $\mathbf{5},\mathbf{674},\mathbf{200},\mathbf{000},\mathbf{000}$ in words is five trillion six hundred seventy four billion two hundred million and$5.6742\times {10}^{12}$ ,$\mathbf{5},\mathbf{674},\mathbf{200},\mathbf{000},\mathbf{000}$  in words is two hundred eighty one million and $2.81\times {10}^8$
• Dept per person is$2.0193\times {10}^4$ or$20,193$

Step 1. Given information

Dept is given in$2000$ as$5,674,200,000,000$ and population as $281,000,000$ 

Step 2. Concept used

To write the given data in words follow the number system as-

And for the dept per person, divide the total amount by total population given in that particular year.

Step 3. Calculation

Dept is given in $2000$as$5,674,200,000,000$ and population as $281,000,000$ 

So, for dept per person, divide the dept value by population

$\frac{5.6742\times {10}^{12}}{2.81\times {10}^8}\iff \$2.0193\times {10}^4$