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Fun Fact. Your stomach has to produce a new layer of mucus every two weeks otherwise it will digest itself. Scientific Notation. A given number is written as the product of two numbers 10000 = 1 x 10 4 Numbers greater than ten have positive exponents
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Fun Fact • Your stomach has to produce a new layer of mucus every two weeks otherwise it will digest itself
Scientific Notation • A given number is written as the product of two numbers • 10000 = 1 x 104 • Numbers greater than ten have positive exponents 123,000,000,000 = 1.23 x 1011 • Numbers less than ten have negative exponents • 0.000 000 007 51 = 7.51×10−9
Practice • Convert the following to scientific notation • 3427 • .0473
Significant figures • Significant Figures- • Include all the digits that are known plus a last digit that is estimated
Rules for Significant Figures • 1. Every nonzero digit is significant • 24.7 714 Each have three sig. figs. • 2. Zeros between non-zeros are significant • Example: 7003 (four sig. figs.) • 3. Zeros in front of nonzero number is not significant • Example: .0071 (two sig. figs.)
Rules for Significant Figures • 4. Zeros at the end of a number to the right of the decimal are always significant • Example: 43.00 (four sig. figs.) • 5. Zeros at the rightmost end of a measurement with no numbers to the right of the decimal are not significant • Example: 7,000 (one sig. fig.)