Unit 3 Sem A review

Unit 3 Quick Review

Rational Vs Irrational Numbers

• Rational Numbers: Integers, Fractions, Terminating Decimals, Repeating Decimal

• Irrational Numbers: Nonterminating nonrepeating decimals, Some square roots

Multiple Select

Select the 3 Rational Numbers

• -5

• 3.3333...

•  $\sqrt{2}$  

•  $\sqrt{16}$  

• Fraction to Decimal Conversion

• Divide the numerator by the denominator

  
  

• Decimal To Fraction Conversion

• Determine Place value of last number

• the Place value is the denominator

• Simplify if possilble

Multiple Choice

Write  $\frac{2}{5}$   as a decimal

• 0.4

• 0.25

Multiple Choice

What is 0.15 in fraction form?

• $\frac{15}{10}$

• $\frac{3}{20}$

• $\frac{1}{5}$

Add and Subtract Fractions

• Find common Denominator using LCD

• Convert fraction using LCD

• Add numerators

• Convert to mix number or reduce if needed

Multiple Choice

 $\frac{1}{4}+\frac{3}{8}$  

Add.

•  $\frac{5}{8}$  

•  $\frac{4}{12}$  

•  $\frac{3}{32}$  

Multiply and Divide Fractions

• Multiply Fractions

• Multiply numerators

• Multiply denominators

• Reduce if possible

• 
  

  Divide Fractions

• Keep, Change, Flip

Multiple Choice

 $\frac{3}{7}\cdot\frac{1}{6}$  

•  $\frac{4}{13}$  

•  $\frac{1}{14}$  

•  $\frac{4}{42}$  

•  $\frac{18}{7}$  

Exponent Basics

• Expanded Form

• Write repeated multiplication with Exponents

Multiple Choice

What is  $4^3$  in expanded Form?

•  $4\cdot3$  

•  $4\cdot4\cdot4\cdot4$  

Exponent Properties

• Multiply Exponents

• Add the exponents

• Divide Exponents

• Subtract the exponents

• Negative and Zero Exponents

• Negative exponents can be made into fractions with numerator of 1

• any number with zero exponent is equal to 1

Multiple Choice

Simplify.

 

 $\left(x^2\right)\left(x^4\right)$

 

•  $x^2$  

•  $x^8$  

•  $x^6$  

Multiple Choice

 $\frac{m^{10}}{m^7}$  

Simplify

•  $m^{17}$  

•  $m^3$  

•  $m^{-5}$  

Multiple Choice

 $5^{-2}$  

Evaluate

•  $-25$  

•  $\frac{1}{25}$  

•  $-10$  

Multiple Choice

Evaluate.
 $y^0$  

• 0

• 1