Download scientific notation

Scientific Notation
Objectives:
…to represent numbers using scientific notation
...to convert numbers written in scientific notation to standard notation
Assessment Anchor:
8.A.1.1 – Represent numbers in equivalent forms.
Vocabulary
Vocabulary alert!!
SCIENTIFIC NOTATION – a way to write numbers using
a power of ten
Scientific notation is useful for numbers that are too big or two small to be
conveniently written in decimal form. Scientific notation is usually used by
mathematicians, scientists and engineers.
The mass of Earth is about 5,973,600,000,000,000,000,000,000 Kg…while the
mass of an electron is about 0.00000000000000000000000000000091093822 Kg.
Scientific notation provides a more convenient way to write those numbers.
Even though it is more useful for very large and very small numbers…any number
can be written in scientific notation.
Key parts:
a number that is less
than 10, but at least 1
Part #1
7.54 × 107
2.8 × 10-4
“ × 10 ”
Part #2
*** Positive exponents are for LARGE numbers (10 or more)
*** Negative exponents are for SMALL numbers (less than 1)
exponent which
may be + or –
Part #3
Scientific Notation
NOTES and EXAMPLES
***To write a number in scientific notation:
1. Move the decimal point to make a number at least 1 but less than 10.
2. COUNT the number of places the decimal point was moved…then
decide if this exponent should be positive or negative.
Standard Notation
Scientific Notation
1)
3,500,000
3.5 × 106
2)
0.000467
4.67 × 10-4
3)
0.00000506
4)
83,040,000,000
5)
46.2
***To write a number in standard notation:
1. Use the exponent to determine if the number is LARGE OR SMALL
2. Move the decimal point the number of times indicated by the
exponent.
Standard Notation
Scientific Notation
6)
45,900,000
4.59 × 107
7)
0.00214
2.14 × 10-3
8)
5.01 × 10-5
9)
8 × 108
10)
2.97 × 10-2