1-9 Scientific Notation

(p. 43-45)

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.

0.00000157 The exponent is a -6, this means that you move the decimal 6 places to the left.

34,000,000 3.4 x 10 7 12 billion

Write in Scientific Notation

   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 1.2 x10 10  count the number of place values that you move, that # becomes your exponent for the 10 Compare with < > or = 6000 ( ) 6x10 2 6000 (>) 600

Try this: Write in standard form 2.3 x 10 10 0 8 230,000,000 Write in scientific notation 5,640,000 5.64 x 10 6 What does 6 x 10 0 =1 So, 6 x 10 mean?

Any number raised to the zero power = 1. 0 = 6 x 1 = 6 What does 6 x 10 So, 6 x 10 -1 -1 Remember, when the exponent is negative, you move the decimal to the left, instead of the right. = 0.6

Homework

 Pg. 44-45 #14-30 even, 36, 37, 38-50 even