1-9 Scientific Notation (p ) Indicator N1: Demonstrate an understanding of place value using powers of 10 and write large numbers in scientific notation Vocabulary Scientific Notation(1-9): writing a number shorter by using powers of tens. There can only be one number to the left of the decimal Example : 6,500,000 = 6.5 x 10 6 Standard Scientific Notation Note: The exponent does NOT indicate how many zeros there are on the number!
Which direction should I move the decimal point? Positive Exponents… Move right!! Negative Exponents… Move left!!
1-9 Scientific Notation Examples Write in standard form. 1.4 x10 4 The exponent tells you how many places and which direction to move the decimal. 14,000 The exponent is a 4, this means that you move the decimal 4 places to the right. 1.57x10 -6 The exponent tells you how many places and which direction to move the decimal The exponent is a -6, this means that you move the decimal 6 places to the left.
Write in Scientific Notation 34,000, x billion 1.2 x10 10 move the decimal until you have a number between 1-10 count the number of place values that you move, that # becomes your exponent for the 10 move the decimal until you have a number between 1-10 count the number of place values that you move, that # becomes your exponent for the 10 Compare with or = 6000 ( ) 6x (>) 600
Try this: Write in standard form 2.3 x ,000,000 Write in scientific notation 5,640, x 10 6 What does 6 x 10 0 mean? Any number raised to the zero power = =1 So, 6 x 10 0 = 6 x 1 = 6 What does 6 x Remember, when the exponent is negative, you move the decimal to the left, instead of the right. So, 6 x = 0.6
Homework Pg #14-30 even, 36, 37, even