1. TOPIC: Scientific Notation product The number is written as the product of two other numbers: not – A number between 1 and 10 (not 10) – and – A power of 10 20.3 x 10 2 NOT CORRECT 2.03 x 10 3 CORRECT 20.3 x 10 2 NOT CORRECT 2.03 x 10 3 CORRECT

2. conventional to scientific notation Converting conventional to scientific notation  1exponent positive For numbers  1, the exponent will be positive. Count how many places the decimal is moved. 329  3.29 X 10 2

3. conventional to scientific notation Converting conventional to scientific notation between 0 and 1 exponentnegative For numbers between 0 and 1, the exponent will be negative. Count how many places the decimal is moved. 0.00045  4.5 X 10 -4

4. scientific to conventional Converting scientific to conventional notation If the exponent is positive, the number  1, so move the decimal point right. 3.784 X 10 5  378400

5. scientific to conventional Converting scientific to conventional notation If the exponent is negative, the number is between 0 and 1 so move the decimal point to the left. 2.75 X 10 -3  0.00275

6. Multiplying (N x 10 a ) x (M x 10 b ) = (N x M) x 10 a+b (5.1 x 10 4 ) x (2.5 x 10 3 ) = (5.1 X 2.5) x 10 (4+3) (5.1 x 10 4 ) x (2.5 x 10 3 ) = 12.75 x 10 7 Oops – new answer isn’t scientific notation – Remember has to be between 1 and 10 – 12.75 = 1.275 – since we made the number smaller we have to make the exponent bigger – 1.275 x 10 8

7. Dividing (N x 10 a ) / (M x 10 b ) = (N / M) x 10 a-b (3.66 x 10 -5 ) / (2.0 x 10 -3 ) = (3.66/2.0) x 10 (-5-(-3)) = 1.83 x 10 -5+3 =1.83 x 10 -2 Write this as a normal number.0183

8. Adding/Subtracting Exponents must be same number