The notation separates a number into two parts: a decimal fraction between 1 and 10, and a power of ten. Thus 1.23 x 104 means 1.23 times 10 to the fourth power or 12,300; 5.67 x 10-8 means 5. ~ A method of writing large numbers in a simple way. For example 380,000 is written 3.8 x106. In ~ a number is always written as a x 10 h Where a >= 1 and a Powers of ten We can write very large numbers using scientific notation. For example, the average distance from the Earth to the Sun is about 150,000,000 km. We can write this number as 1.5 × 108 km. To write a number in scientific notation, we use a number between 1 and 10, multiplied by a power of 10.
Write the number 4598 in expanded notation form: (Decompose 4598) Remember that each digit in the whole number represents a power of 10: First take the whole number portion of the number on the left side of the decimal Expanded Notation of 4598 = (4 x 10 3) + (5 x 10 2) + (9 x 10 1) + (8 x 10 0) Scientific notation is a form of exponential notation that adjusts the power of ten so that the number contains only one nonzero digit before the decimal point. Engineering notation is a form of exponential notation in which up to three digits appear before the decimal point, and the power of ten is always a multiple of three.
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