Understanding Scientific Notation: Writing & Multiplying/Dividing in Standard Form, Exercises of Elementary Mathematics

Download Understanding Scientific Notation: Writing & Multiplying/Dividing in Standard Form and more Exercises Elementary Mathematics in PDF only on Docsity! 4 Multiplying and Dividing Standard Form.notebook 1 October 25, 2018 Standard Form - Multiplication and Divison L.O. • all pupils can write numbers in standard form • all pupils can multiply and divide numbers written in standard form 4 Multiplying and Dividing Standard Form.notebook 2 October 25, 2018 Main 1: Do you know this number, 300,000,000 m/sec? It's the Speed of light! Do you recognize this number, 0.000 000 000 753kg? This is the mass of a dust particle! write numbers in standard form Could you write these numbers in standard form? 4 Multiplying and Dividing Standard Form.notebook October 25, 2018 Standard Form rr 1.23 x 10 4 Multiplying and Dividing Standard Form.notebook 6 October 25, 2018 Main 1: In the number 1.23 x 1011 the number 11 is referred to as the exponent or power of ten. The first number 1.23 is called the coefficient. It must be greater than or equal to 1 and less than 10. The second number is called the base . It must always be 10 in scientific notation. The base number 10 is always written in exponent form. write numbers in standard form 4 Multiplying and Dividing Standard Form.notebook 7 October 25, 2018 Main 1: Put the decimal after the first digit and drop the zeroes. To write a number in scientific notation: write numbers in standard form 4 Multiplying and Dividing Standard Form.notebook 10 October 25, 2018 Main 1: To write a number in scientific notation: For small numbers we use a similar approach. Numbers less smaller than 1 will have a negative exponent. A millionth of a second is: write numbers in standard form 4 Multiplying and Dividing Standard Form.notebook 11 October 25, 2018 Main 1: To write a number in scientific notation: write numbers in standard form Write these numbers in standard form: 4 Multiplying and Dividing Standard Form.notebook 12 October 25, 2018 Standard Form L.O. • all pupils can write numbers in standard form • all pupils can multiply and divide numbers written in standard form 4 Multiplying and Dividing Standard Form.notebook 15 October 25, 2018 Standard Form The question asks for the answer in standard form, but this is not standard form because the first part (the 40) should be a number between 1 and 10. 4 × 104 Multiplying numbers in Standard Form What is wrong with the solution 40 x 103? 4 Multiplying and Dividing Standard Form.notebook 16 October 25, 2018 Main 2: Rules for Multiplication in Scientific Notation: 1) Multiply the coefficients 2) Add the exponents (base 10 remains) Example: (3 x 104)(2x 105) = 6 x 109 multiply and divide numbers in standard form 4 Multiplying and Dividing Standard Form.notebook 17 October 25, 2018 Main 4: Rules for Multiplication in Scientific Notation: 1) Multiply the coefficients 2) Add the exponents (base 10 remains) Example: (5 x 10 3) (6x 103) = 30. x 106 30.x106 = 3.0 x 107 in scientific notation. multiply and divide numbers in standard form 4 Multiplying and Dividing Standard Form.notebook October 25, 2018 20 4 Multiplying and Dividing Standard Form.notebook 21 October 25, 2018 Standard Form L.O. • all pupils can write numbers in standard form • all pupils can multiply and divide numbers written in standard form 4 Multiplying and Dividing Standard Form.notebook 22 October 25, 2018 Standard Form Dividing Numbers in Standard Form E.g. (8 x 105) ÷ (5 x 10-2) 4 Multiplying and Dividing Standard Form.notebook 25 October 25, 2018 Rules for Division in Scientific Notation: 1) Divide the coefficients 2) Subtract the exponents (base 10 remains) Example: (2 x 10 7) / (8 x 103) = 0.25 x 104 0.25x10 4 = 2.5 x 103 Main 4: multiply and divide numbers in standard form 4 Multiplying and Dividing Standard Form.notebook 26 October 25, 2018 Main 4: Dividing these numbers: Dividing: multiply and divide numbers in standard form 4 Multiplying and Dividing Standard Form.notebook October 25, 2018 WORKSHEET 27