Transcript Scientific Notation

Scientific Notation
• Scientific Notation is a short-hand way of writing
down really big number, or really small numbers.
• The mass of the earth is:
5 980 000 000 000 000 000 000 000
• Saying this number is not an easy task.
• Writing these zero’s is not very convenient (or
fun)
• To help us we use Scientific Notation
Scientific Notation
Numbers expressed in scientific MUST be
expressed as a product of:
• a number greater or equal to one, but less
than ten
And
• A power of ten
Are these Numbers in Scientific
Notation?
•
•
•
•
•
•
•
33.1 x 104
11 x 102
5.3 x 108
9.9 x 1011
0.3 x 102
5 x 107
2.3108 x 105
What is 561 000 000 000 in
Scientific Notation?
• 1. Place a decimal point after the first non-zero
digit(giving you a number greater or equal to 1 but
less than 10)
• 5.61 000 000 000
• Drop the trailing zeros
• 5.61
• Count the number of places(boinks) the decimal
was moved.
• 561 000 000 000
• Express this number as an exponent of 10
• 5.61 x 1011
What is 420 000 000 in Scientific
Notation?
• 1. Place a decimal point after the first non-zero
digit(giving you a number greater or equal to 1 but
less than 10)
• 4.20 000 000
• Drop the trailing zeros
• 4.2
• Count the number of places (boinks) the decimal
was moved.
• 420 000 000
• Express this number as an exponent of 10
• 4.2 x 108
What is 580 000 in Scientific
Notation?
• 1. Place a decimal point after the first non-zero
digit(giving you a number greater or equal to 1 but
less than 10)
• 5.80 000
• Drop the trailing zeros
• 5.8
• Count the number of places (boinks) the decimal
was moved.
• 580 000
• Express this number as an exponent of 10
• 5.8 x 105
What is the Value of Each
Exponent?
•
•
•
•
•
•
•
310 000 = 3.1 x 10?
81 000 000 = 8.1 x 10?
5.3 x 108 = ?
9.9 x 1011 = ?
5.3 x 102 = ?
9 x 107 = ?
2.3108 x 105 = ?