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Learn how to solve problems using properties of multiplication and division in scientific notation. Understand the rules for adding and subtracting when exponents are different. Practice examples and improve your skills in scientific notation calculations.
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EQ9: How do we solve problems using properties of multiplication and divisio, addition and subtraction solving scientific notation? Friday, 20181019Scientific Notation https://www.youtube.com/watch?v=ciFOlirz4Js
Friday, 20181019 Essential Questions EQ9: How do we solve problems using properties of multiplication and division solving scientific notation? Vocabulary: Agenda Bridge Math • Store your phones • Find your seat • Bellwork: Bridge Math • Calculator • EQ9 Scientific Notation • NO Exit Ticket • Remain in seat until bell rings. Teacher Dismisses NOT the bell. It’s always a great day to be a Wolverine! No Sleeping!
Bellwork: Friday, 20181019 Write .1675235 x 1019 in scientific notation. 1.675235 x 1018
20181018 MAKE-UP 20181012 MAKE-UP
Adding/Subtracting when the Exponents are DIFFERENT • When adding or subtracting numbers in scientific notation, the exponents must be the same. • If they are different, you must move the decimal so that they will have the same exponent. https://www.youtube.com/watch?v=PYTp75sryWA This is a helpful video.
Moving the Decimal It does not matter which number you decide to move the decimal on, but remember that in the end both numbers have to have the same exponent on the 10.
Adding/Subtracting when the Exponents are DIFFERENT Step 1 – Rewrite so the exponents are the same Step 2 - add/subtract the decimal Step 3 – Bring down the given exponent on the 10
Adding With Different Exponents • (4.12 x 106) + (3.94 x 104)
Subtracting With Different Exponents • (4.23 x 103) – (9.56 x 102)
Example 3 (2.46 X 106)+ (3.4 X 103) Step 1 – Rewrite with the same exponents 3.4 X 103 0.0034 X 103+3 New Problem: (2.46 X 106)+ (0.0034 X 106) Step 2 – Add decimals 2.46 + 0.0034 = 2.4634 Step 3 – Bring Down Exponents 2.4634 X 106
Example 4 (5.762 X 103)– (2.65 X 10-1) Step 1 – Rewrite with the same exponents New Problem : Step 2 – Subtract Decimals Step 3 – Bring down decimals
7.0 x 103 plus 2.0 x 102 is 7.8 x 105 minus 3.5 x 104 is https://flipgrid.com/6e023c6a
Adding and Subtracting… • The important thing to remember about adding or subtracting is that the exponents must be the same! • If the exponents are not the same then it is necessary to change one of the numbers so that both numbers have the same exponential value. https://flipgrid.com/6e023c6a
Practice • (3.45 x 103) + (6.11 x 103) • (4.12 x 106) + (3.94 x 104) • (8.96 x 107) – (3.41 x 107) • (4.23 x 103) – (9.56 x 102)