Fractions, Real numbers, Properties, abs. value, order of ops

Fractions, Real numbers, Properties, abs. value, order of ops

By Shalynne Orth

​Types of Fractions

Multiple Choice

The top number in a fraction is called a...

• Numerator

• Denominator

REMEMBER

​If you have to multiply, divide, add, or subtract a whole number by a fraction or vice versa.....

​

​Whole number is ALWAYS OVER 1

​To Add or Subtract fractions...

​You must have a common denominator

Multiple Choice

What is ¹/₈ + ⁵/₈?

• 1
• ⁶/₁₆ or ³/₈
• ⁶/₈ or ³/₄
• ²/₄ or ¹/₂

Multiple Choice

• $$\frac{7}{12}$$

• $$-\frac{3}{2}$$

• $$\frac{14}{24}$$

• $$\frac{10}{48}$$

Multiple Choice

• $$\frac{4}{10}$$

• $$\frac{3}{24}$$

• $$\frac{11}{12}$$

• $$\frac{1}{8}$$

​To multiply fractions

​Multiply the numerators, and multiply the denominators

Multiple Choice

• $$\frac{3}{7}$$  

• $$\frac{3}{12}$$  

• $$\frac{1}{12}$$  

• $$\frac{1}{4}$$  

Multiple Choice

• 1/40
• 5  1/8
• 6  3/8
• 5/8

​To divide fractions

​Invert (Flip) the second fraction, then multiply

​KCF

Multiple Choice

• 2
• 4
• 1
• 1/8

Fill in the Blank

Find the quotient.  Be sure to simplify the answer, if needed. $$24\div\frac{3}{2}$$  

Type your answer as a whole number.

Multiple Choice

Follow all steps to divide:

$$\frac{3}{5}\div\frac{21}{25}$$  

• $$\frac{5}{7}$$  

• $$\frac{7}{5}$$  

• $$\frac{75}{105}$$  

​ALWAYS ALWAYS ALWAYS

​S I M P L I F Y when you can

Multiple Choice

Simplify

• 1/4

• 1/3

• 1/2

• 1/8

Multiple Choice

Simplify 5/40 to lowest terms.

• 2/20

• 5/40

• 8

• 1/8

Multiple Choice

Simplify.

14/35

• SF

• 2/5

• 7/8

• 1/4

Real Number System Intervention

Natural & Whole Numbers Review

​The numbers we use for counting are the natural numbers: 1, 2, 3, 4, 5, and so on

​

​The set of whole numbers is the set of natural numbers plus zero: {0, 1, 2, 3,…}

​Integers Review

​The integers include all whole numbers together with the “negatives” of the natural numbers.

Multiple Choice

How would you classify -4?

• Whole Number

• Integer

• Natural Number

Multiple Choice

How would you classify the number 0?

• Whole Number

• Natural Number

• Irrational Number

Multiple Choice

True or false.

The number 7 is a natural number.

• True

• False

​Rational vs Irrational Review

The rational numbers are numbers which can be expressed as a fraction

Caution: The denominator cannot equal zero.

​Rational numbers can also appear in decimal form. If the decimal number either terminates or repeats, then it is possible to write it as a fraction with an integer numerator and denominator. Thus, it is rational as well.

​

​The irrational numbers are all numbers which when written in decimal form do not repeat and do not terminate.

​What do you notice about rational vs irrational?

Multiple Choice

How would you classify $$\sqrt[]{8}$$  ?

• Whole Number

• Rational Number

• Integer

• Irrational Number

Multiple Choice

How would you classify  $$\frac{5}{9}$$  p

• Integer

• Rational Number

• Whole Number

• Irrational Number

Commutative Property

Multiple Choice

Use the commutative property to re-write the expression

$$123+x+9$$  

• $$x+9+123$$  

• $$\left(123+x\right)+9$$  

Associative Property

Multiple Choice

Which correctly applies the associative property to the expression

$$\left(x+5\right)+7$$  

• $$\left(5+x\right)+7$$  

• $$x+\left(5+7\right)$$  

• $$7+\left(5+x\right)$$  

Identity Property

Multiple Choice

Which correctly represents the identity property?

• $$x-x=0$$

• $$x+3=3$$

• $$x\cdot1=x$$

Inverse Property

Multiple Choice

Which correctly shows the inverse property?

• $$x+-x=0$$

• $$x\cdot1=x$$

• $$a+x=x+a$$

Property of Zero

Multiple Choice

Is this the property of zero?

• $$3-0=3$$

• $$6+0=6$$

• $$1-1=0$$

• $$9\cdot0=0$$

Distributive Property 

Multiple Choice

Is this a correct use of the distributive property?

$$5\left(x-8\right)=5x-8$$  

• Yes

• No

Multiple Choice

Choose the statement that is reflexive

• 2x = 10

• RT = RT

• I love geometry

Multiple Choice

Choose the statement that is symmetric.

• if 2x = 10, then 10 = 2x

• RT = RT

• I love proofs.

Fill in the Blank

$$If\ R=40\ and\ T=40,\ then\ .....$$  

Multiple Choice

3 = 3

• reflexive

• symmetric

• transitive

• none of these

Multiple Choice

if ST=XY, then XY =ST

• reflexive

• symmetric

• transitive

• none of these

Multiple Choice

$$\angle CAT\cong\angle DOG,\ \angle DOG\ \cong PIG\ then\ \angle CAT\ \equiv PIG$$  

• reflexive

• symmetric

• transitive

• none of these

​Closure Property

Multiple Choice

• 1
• 2
• 3
• 4

Multiple Choice

True or False:
Rational Numbers are closed under addition. 

• True
• False

Multiple Choice

True or False:
Integers are closed under division. 

• True
• False

Absolute Value

Multiple Choice

What is |-8|?

• 8

• 0

• -8

Multiple Select

Which integers have an absolute value of 7?

• 1/7

• 7

• 0

• -7

• -1/7

G

E

MD

AS

• G - grouping

• E - exponents

• M - multiplication & D - Division (from left to right)

• A - Addition & S - Subtraction (from left to right)

​Order of Operations​

Multiple Choice

The grouping in GEMDAS stands for?

• Commas, Periods, Question Marks

• Exponents, Multiplication, Division

• Brackets, Braces, Parentheses

• Subtraction, Addition, Multiplication

Multiple Choice

What operation would you do first in this expression?

• 15-8

• $$8\div4$$

• 4 x 7

Multiple Choice

Which operation would you perform first between addition and subtraction?

• You do subtraction first.

• With subtraction and addition, you go left to right.

• You do addition first.

Multiple Choice

$$Simplify:$$   $$\ 2+3\times6\div3$$  

• 10

• 6.6

• 8

Multiple Choice

Simplify: $$5-2\left(2^3-5\right)$$  

• -1

• 3

• -9

• 9