Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Appendix C - Exercise Set - Page 746: 24

Answer

The national debt of United States is $15,900,000,000,000 $in standard notation and $ 15.9 ×10^{12} $ in scientific notation.

Work Step by Step

So to start with, you must first observe the bar graph. At the left side of the graph, you can see the given national debt values in trillion dollars; at the bottom side of the graph, you can see the six different countries. Since we must estimate the national debt of United States based on the bar graph, we must first locate the position of United States in the bar graph. United States is the country placed in the rightmost are beside United Kingdom. Now that we have spotted the location of United States, it is time to locate and estimate the value of United States's national debt: to do that, we must horizontally align the tip of the blue shaded region of United States and the value of the national debt at the left side. The tip of the blue shaded region of United States lies closely around 16 trillion, which means that the national debt of approximately is 15.9 triillion. Now to convert 15.9 trillion into a standard notation, you must remember that a million has 6 zeroes (1,000,000 and 1 × 10^6), a billion has 9 zeroes (1,000,000,000 and 1 × 10^9), and a trillion has 12 zeroes (1,000,000,000,000 and 1 × 10^12). We just have to change the value of 1 to 15. 9 based on the information stated above. So, one trillion dollars: 1,000,000,000,000(in standard notation) 1 × 10^12 (in scientific notation) just change the number 1 in one trillion dollars into 15.9 like this, 15.9 trillion dollars: $15,900,000,000,000$ (in standard notation) $15.9 × 10^{12} $(in scientific notation) and now you have the answer! The national debt of United States is $15,900,000,000,000 $in standard notation and $ 15.9 ×10^{12} $ in scientific notation.
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