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Finding the Greatest Common Factor
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Graphing Compound Inequalities
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Multiplication Properties of Exponents
Completing the Square
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Combining Like Radical Terms
Elimination Using Multiplication
Solving Equations
Pythagoras' Theorem 1
Finding the Least Common Multiples
Multiplying and Dividing in Scientific Notation
Adding and Subtracting Fractions
Solving Quadratic Equations
Adding and Subtracting Fractions
Multiplication by 111
Adding Fractions
Multiplying and Dividing Rational Numbers
Multiplication by 50
Solving Linear Inequalities in One Variable
Simplifying Cube Roots That Contain Integers
Graphing Compound Inequalities
Simple Trinomials as Products of Binomials
Writing Linear Equations in Slope-Intercept Form
Solving Linear Equations
Lines and Equations
The Intercepts of a Parabola
Absolute Value Function
Solving Equations
Solving Compound Linear Inequalities
Complex Numbers
Factoring the Difference of Two Squares
Multiplying and Dividing Rational Expressions
Adding and Subtracting Radicals
Multiplying and Dividing Signed Numbers
Solving Systems of Equations
Factoring Out the Opposite of the GCF
Multiplying Special Polynomials
Properties of Exponents
Scientific Notation
Multiplying Rational Expressions
Adding and Subtracting Rational Expressions With Unlike Denominators
Multiplication by 25
Decimals to Fractions
Solving Quadratic Equations by Completing the Square
Quotient Rule for Exponents
Simplifying Square Roots
Multiplying and Dividing Rational Expressions
Independent, Inconsistent, and Dependent Systems of Equations
Slopes
Graphing Lines in the Coordinate Plane
Graphing Functions
Powers of Ten
Zero Power Property of Exponents
The Vertex of a Parabola
Rationalizing the Denominator
Test for Factorability for Quadratic Trinomials
Trinomial Squares
Solving Two-Step Equations
Solving Linear Equations Containing Fractions
Multiplying by 125
Exponent Properties
Multiplying Fractions
Adding and Subtracting Rational Expressions With the Same Denominator
Quadratic Expressions - Completing Squares
Adding and Subtracting Mixed Numbers with Different Denominators
Solving a Formula for a Given Variable
Factoring Trinomials
Multiplying and Dividing Fractions
Multiplying and Dividing Complex Numbers in Polar Form
Power Equations and their Graphs
Solving Linear Systems of Equations by Substitution
Solving Polynomial Equations by Factoring
Laws of Exponents
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Systems of Linear Equations
Properties of Rational Exponents
Power of a Product and Power of a Quotient
Factoring Differences of Perfect Squares
Dividing Fractions
Factoring a Polynomial by Finding the GCF
Graphing Linear Equations
Steps in Factoring
Multiplication Property of Exponents
Solving Systems of Linear Equations in Three Variables
Solving Exponential Equations
Finding the GCF of a Set of Monomials
 
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Scientific Notation

To write numbers in scientific notation N = u . d d d × 10P with only the units-digit to the left of the decimal and all others following it – and the power P is the position power for the number N.

Multiply and Divide with Scientific Notation and express the result in scientific notation:

 

Example 1:

a) (1.23 × 103 ) × (2.32 × 10 4 ) = (1.23 × 2.35 ) × (103 × 10 4 ) Commutative property
  = 2.8905 × 10 7 Multiply coefficients and add exponents

 

b) Write as separate fractions.
  Divide coefficients and subtract exponents.

 

c) Write as separate fractions.
  Divide coefficients and subtract exponents.
  Round answer to 3 decimals.

 

d) (4.53 × 109 ) × (7.32 × 10 – 4 ) = (4.53 × 7.32) × (109 × 10 – 4) Apply commutative property.
  = 33.1596 × 105 Multiply coefficients and add exponents
  = (3.31596 × 101) × 105 Rewrite first term in scientific notation
  = 3.31596 × (101 × 105) Regroup powers.
  = 3.31596 × 106 Add exponents for scientific notation.
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