<p> Scientific Notation Notes</p><p>The Mall of America is Bloomington, Minnesota, is the largest shopping and entertainment center in the United States. The table shows two features of the mall. </p><p>Standard Abbreviated Product of a Product of a Form Form number and a number and a power of ten power of ten using exponents Number of Parking 13 thousand 13 x 1,000 Spaces Area of Mall (square feet) 4,200,000</p><p> A number is in ______</p><p> when it is written as the product of a number and a power </p><p> of ten. </p><p>EXAMPLES: 60,000 = 6.0 x 104</p><p>3,500,000,000 = 3.5 x 109</p><p> The number MUST be ______to 1 </p><p> and ______10. </p><p>EXAMPLES: Circle the numbers written in scientific notation. </p><p>45.6 x 103 2.3 x 1024 333.7 x 102 5.6 x 1012</p><p>1 1. To write a number in STANDARD FORM you apply the order of operations: First, evaluate the power of ten and then multiply.</p><p> A shortcut would be to move the decimal to the right the same amount of times as the ______of ten (or as the number of zeros.)</p><p>EXAMPLE: 5.2 x 104 = 5.2 x 10,000 5.2 x 104 = move the decimal point 4 places to the right 5.2 x 104 = 52,000</p><p>YOUR TURN: Write Each Number in Standard Form a. 7.2 x 104 b. 3.8 x 109 c. 1.0 x 108 </p><p>2. To write a number in SCIENTIFIC NOTATION: First, move the decimal point to right of the first digit and then find the power of ten by counting the number of places moved. </p><p>EXAMPLE: Write 42,500 in scientific notation.  42,500 has to be put into a number that is between 1 and 10 The greatest place value is the ones place.  The decimal would have to be moved 4 times to get a number between 1 and 10.  Once you have a number between 1 and 10 you can get rid of the last zeros. </p><p>42,500 = 4.2500 x 10,000 = 4.2500 x 104 = 4.25 x 104</p><p>2 YOUR TURN: Write each number in scientific notation. </p><p>23,500,000 = ______</p><p>38,000,000 = ______</p><p>19,000 = ______</p><p>86.1 billion = ______</p><p>WRITING: Explain why scientific notation is used with large numbers. </p><p>______</p><p>______</p><p>______</p><p>NUMBER SENSE: Which number describes the population of Chicago, 3.0 x 106 or 3.0 x 103? Explain your reasoning. </p><p>______</p><p>______</p><p>______</p><p>PLANETS: The average distance between Earth and the Sun is 92,960,000 miles. Write this distance in scientific notation. </p><p>______</p><p>3</p>