In 1995, the federal government paid off one-thirdof its debt. If the original amount of the debt was$4.920,000,000,000, which expression representsthe amount that was not paid off?

The expression that represents the amount that was not paid off is [tex]\text { Debt amount that was not paid off }=\text { original amount of debt }- \frac{1}{3}\text { of original amount of debt }[/tex]Solution:Given, In 1995, the federal government paid off one-third of its debt. If the original amount of the debt was  $ 4.920,000,000,000We have to find which expression represents the amount that was not paid offNow, we know that, amount that is not paid off = total debt – paid amount [tex]\text { Debt amount that is not paid off }=\text { original amount of debt }-\frac{1}{3}\text { of original amount of debt }[/tex][tex]\begin{array}{l}{=\text { original amount of debt }\left(1-\frac{1}{3}\right)} \\\\ {=\text { original amount of debt } \times \frac{3-1}{3}} \\\\ {=4,920,000,000,000 \times \frac{2}{3}} \\\\ {=1,640,000,000,000 \times 2=3,280,000,000,000}\end{array}[/tex]Hence the expression and value of debt amount that is not paid off is found