12­02­16 Scientific and Standard Notation.notebook
December 02, 2016
12-02-16
Aim: SWBAT write numbers in scientific notation and standard form
AND SWBAT compare numbers in scientific notation.
Do Now: Take out the "Understanding Base 10" WS
HW: Pg. 214 - 216 # 1 - 22, 32 – 35, 46 – 48
Test Thursday
12­02­16 Scientific and Standard Notation.notebook
December 02, 2016
12­02­16 Scientific and Standard Notation.notebook
December 02, 2016
• When the power of 10 has a negative exponent, we
get a number smaller than 1.
• When the power of 10 has a positive exponent, we
get a number larger than 1.
12­02­16 Scientific and Standard Notation.notebook
December 02, 2016
Scientific Notation
An expression written as the product of 2 factors
Factor #2
Factor #1
A number, x, in which
1 ≤ x < 10
X
A power of 10
12­02­16 Scientific and Standard Notation.notebook
December 02, 2016
12­02­16 Scientific and Standard Notation.notebook
December 02, 2016
12­02­16 Scientific and Standard Notation.notebook
December 02, 2016
Move the decimal point to write the expression in scientific notation.
Left
: exponent gets bigger
Right
: exponent gets smaller
45.27 x 104
0.025 x 103
218.3 x 102
4678.25 x 10-3
113.073 x 10-4
0.00258 x 105
50.002 x 10-1
800.05 x 101
12­02­16 Scientific and Standard Notation.notebook
December 02, 2016
Comparing Numbers in Scientific Notation
• If the exponents are different, the expression with the
larger exponent is greater.
• If the exponents are the same, the expression with the
larger decimal is greater.
Compare the following scientific notation expressions using < or >.
1.
1.3 x 102
3.
2.135 x 10-2
5.
9.8 x 103
1.3 x 103
2.136 x 10-2
6.23 x 107
2.
4.25 x 102
3.25 x 102
4.
2.675 x 10-5
2.68 x 10-7
6.
3.55 x 10-3
3.65 x 103