1 7 Scientific Notation A number is written
1. 7 Scientific Notation A number is written in scientific notation when it is expressed in the form where the absolute value of a is greater than or equal to 1 and less than 10, and n is an integer.
If n is positive, move the decimal point in a to the ________ n places. If n is negative, move the decimal point in a to the ________ places.
Example 1: Write each number in decimal notation: A) -2. 6 x 109 B) 3. 017 x 10 -6
Example 2: Write each number in scientific notation: A) 5, 210, 000 B) -0. 00000006893
Example 3: In 2005, the federal cost of social security was $519 billion. Express this amount in scientific notation.
Computations with Numbers in Scientific Notation Multiplication: (a x 10 n)(b x 10 m) = (a x b) x 10 n + m Division: a x 10 n = a x 10 m - n b x 10 m b After the computation is completed, the answer
Example 4: Perform the indicated computations, writing the answers in scientific notation: A) (7. 1 x 105)(5 x 10 -7)
Example 4 continued. . . B) 1. 2 x 106 3 x 10 -3
Example 5: In 2004, the U. S. government collected 2. 02 x 1012 dollars in taxes. At that time, the U. S. population was approximately 295 million or 2. 95 x 108. Find the per capita tax, rounded to the nearest dollar, in 2004.
Example 6: A futuristic spacecraft traveling at 1. 55 x 103 miles per hour takes 20, 000 hours (about 833 days) to travel from Venus to Mercury. What is the distance from Venus to Mercury? (Hint: d = rt)
Homework: Page 82 1 – 57 every other odd 15 total
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