Download Worksheet5 5-6Scientific Notation A number in scientific notation

Worksheet5
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5-6Scientific Notation
A number in scientific notation consists of two terms:
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

Which numbers are in scientific notation?
5.6x103
12x105
0.5x10-2
5.2x100
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1 Change a number from scientific to ordinary notation
4.5x103=
8x10-2=
7.02x105=
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2 Change a number from ordinary to scientific notation
 Insert a caret
 Determine the number of decimal places to the right or left
45,000=
0.0026=
32,250,000=
0.0007=
4.0=
32.5=
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3 Multiply and Divide numbers in scientific notation
(4.2x102)(5.07x103)=
(1.05x10-3)(2.5x10-4)=
(9.2x10-4)(5.025x10-1)=
(2.5x105)÷(5x104)=
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4 Raise a number in scientific notation to power using (nx10 a)b= nbx10ab
(5x103)2=
(6x10-2)3=
(2.5x10-4)-2=
(1.2x106)-3=
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5 Engineering Notation
Engineering notation includes two factors:
 The first factor is a number greater than 1 and less than 1,000
 The second factor is a power-of-10 factor whose power is a multiple of three
o
2,800,000=
0.52=
0.071=
0.0071=
1
7-1 Variable Notation
1 Identify equations, terms, factors, constants, variables, coefficients
Equation
Term (monomial)
Polynomial
Factors
Constant
Coefficient
Variable
Identify the terms, variables, first-term coefficients and constants
3( x  2)
6
5x-6x-2
3(x-2) + 5x +7
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x
- 5x+35
2
18x + 2x + 3y+ 5
x2 + y3+ 5x-3y -8
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2 Writing Algebraic Statements: the number is x
Twice the number
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One third of the number
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The number raised to a power of 3
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Two more than the number
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5 more than twice the number ______
A cubic root of the number
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3 Like Terms
Like terms have the same variable. We add/subtract like terms by adding/subtracting their
coefficients
3x+ 5x-7x=
5y2-7y2+3x2-5x2=
3z(5+ 7z) + 4z2=
2