Problem

See Examples. The bar graph below shows estimates of the top six national debts as of Dece...

See Examples. The bar graph below shows estimates of the top six national debts as of December 31,2012. If a number is written in standard form, write it in scientific notation. If a number is written in scientific notation, write it in standard form.

Top Six National Debts

Source: CIA World Factbook.

Example 1 Write the number in scientific notation.

a. 367,000,000


b. 0.000003

Solution: Move the decimal point until the number is between 1 and 10.

a.


b.

Example 2 Write the number in standard notation, without exponents.

a. 1.02 × 105


b. 7.358 × 10−3

Solution:

a. Move the decimal point 5 places to the right.


b. Move the decimal point 3 places to the left.

Use the bar graph to estimate the national debt of the United States and then express it in both standard and scientific notation.

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