Presentation on theme: "5-4 Scientific Notation (p )"— Presentation transcript:
1 5-4 Scientific Notation (p. 217-220) 8N1&8: Use scientific notation
2 VocabularyScientific Notation: writing a number shorter by using powers of tens and a number less than 10.(Hint: There can only be one number to the left of the decimal to make it less than 10)Example : 6,500,000 = 6.5 x 106Standard Form Scientific Notation
3 Scientific Notation Examples Write in standard form. Ex 1) 1.4 x The exponent tells you how many places to move the decimal and which direction.14, The exponent is a 4 (multiply), this means that you move the decimal 4 places to the right.Ex 2) 1.57x The exponent tells you how many places to move the decimal.The exponent is a -6 (divide), this means that you move the decimal 6 places to the left.
4 Write in Scientific Notation move the decimal until you have a number between 1-10count the number of place values that you move, that # becomes your exponent for the 10Ex 3) 34,000,0003.4 x 107Ex 4) 12 billion12 x 1091.2 x1010
5 Try this:Ex 5) Write in standard form2.3 x 108230,000,000Ex 6) Write in scientific notation5,640,0005.64 x 106Ex 7) What does 6 x 100 mean?Any number raised to the zero power = 1.100=1 So, 6 x 100 = 6 x 1 = 6What does 6 x 10-1Remember, when the exponent is negative, you move the decimal to the left, instead of the right.So, 6 x 10-1 = 0.6
6 Operations with Scientific Notation Rules for ExponentsMultiplying – AddDividing- SubtractEx 8)Ex 9)Moving decimal left adds on to exponentMoving decimal right takes off of the exponent