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NEKG33 Mathematical methods for economists
Chapter 1
Number systems
The real number system
Problem: Number systems
Rules of algebra
Commutative and associative laws
Inequalities
Sign-rules
Zero and one rules
Distributive law and quadratic identities
Rules of algebra: problems
Problem: Commutative and associative
Problem: Inequalities
Problem: Percent
Problem: Sign rules
Problem: Factor expressions
Problem: Factor expressions
Problem: Factor expressions
Problem: Zero rules
Problem: Quadratic identities
Problem: Quadratic identities with three terms
Problem: Quadratic identities
Problem: Square sum of three terms
Fractions and powers with integer exponents
Fractions
Powers with integer exponent
Powers, rules
Fractions and integer powers: Problems
Problem: Simplify fractions
Problem: Simplify fractions
Problem: Power rules, integer powers
Problem: Power rules, integer powers
Problem: Integer powers
Problem: Percent and growth
Problem: Understanding negative exponents and 0^0
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Chapter 1
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Problem: Sign rules
Problem
If
\(a=-4\)
, what is
\(-a\)
and
\(-(-a)\)
?
Prove that
\(-a+a=0\)
using only the cheat sheet
Prove that
\(-\left( a-b \right)=-a+b\)
using only the cheat sheet
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Solution