Question

Each year, the United States' federal costs exceed the anticipated national budget. In fact, the last time that the United States government was able to end a fiscal year without accruing more debt was in 1960. This means that due to excessive spending and compounding interest accrued, the United States' national debt has escalated astronomically over the past several decades. In the second section, you used the United States' national debt to explore concepts involved with numbers in scientific notation. Use the national debt table to create your own operations with numbers in scientific notation. Year US Nation Debt (in US dollars) 1960 $286,330,760,848.37 1970 $370,918,706,949.93 1980 $907,701,000,000.00 1990 $3,233,313,451,777.25 2000 $5,674,178,209,886.86 2010 $13,561,623,030,891.79 Using complete sentences, create your own scenario involving the United States' national debt with any two decades listed in the table. The scenario should include multiplication or division between the numbers in scientific notation. For your scenario created in question #1, write an answer key and solution key. Be sure to include an answer in proper scientific notation, and an explanation of the solution, written in complete sentences.

Answer 1

Given : United States' federal costs

To Find :  write in scientific notation

Solution:

Very large and very small numbers can be expressed in standard form.•

Standard form is also called scientific notation form

A number is written in scientific notation if it has the form c × 10ⁿ where

c ≥1,  c < 10, and n is an integer.

Year   US Nation Debt (in US dollars)     Scientific Notation :

1960     286,330,760,848.37                      2.86 x 10¹¹  

1970    370,918,706,949.93                       3.71  x 10¹¹          

1980    907,701,000,000.00                     9.08  x 10¹¹  

1990    3,233,313,451,777.25                     3.23 x 10¹²  

2000  5,674,178,209,886.86                    5.67 x 10¹²

2010   13,561,623,030,891.79                   1.36 x   10¹³    

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