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.
The United Kingdom’s national debt as of the end of 2012 was $1.01 × 1013.
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