Number Theory and Angles

Number Theory and Angles

by Ms. Knowles

Objectives​

​In today's lesson you will be able to answer questions on place value, order of operations and angles.

​Place Value

• ​Before the decimal point are whole numbers.

• ​After the decimal point are decimals.

Multiple Choice

place value for the underlined digit is

75 986

• 900

• ten thousands

• 9 000

• hundreds

Multiple Choice

Which digit is in the TENS place in the number 7219?

• 7

• 2

• 1

• 9

Multiple Choice

What is the place value of the 4 in 471,902?

• 400,000

• 400

• hundreds

• hundred thousands

Multiple Choice

Which answer below has an eight in the hundredths place?

• 234.87
• 845.05
• 159.482
• 264.278

Multiple Choice

What is the value of the red digit?
87.92

• nine tenths
• nine hundredths
• nine tens
• nine hundreds

Multiple Choice

What is the value of the red digit 9.03?

• 3 tenths
• 3 hundredths
• 3 tens
• 3 hundreds

​Complementary Angles

• Angles in a right angle add up to 90º. Two or more angles that add up to 90º are called complementary angles.

Multiple Choice

What are complementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect.

Multiple Choice

Are these angles complementary, supplementary or neither?

• complementary
• supplementary
• neither

Multiple Choice

• x = 56
• x = 66
• x = 156
• x = 166

Multiple Choice

Find the value of x.

• 15
• 30
• 45
• 60

Multiple Select

Choose all answers that apply: Find the angle measurements that are complementary to each other.

• 75 and 105

• 75 and 15

• 25 and 65

• 34 and 146

• 38 and 52

​Supplementary Angles

• ​Angles on a straight line add up to 180º. Two or more angles that add up to 180º are called supplementary angles.

Multiple Choice

What are supplementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect

Multiple Choice

What kind of angles are shown?

• complementary
• supplementary
• adjacent
• corresponding

Multiple Choice

Find the supplementary angle for 104 degrees...

• 70 degrees

• 74 degrees

• 76 degrees

Multiple Choice

Find the supplementary angle for 126 degrees...

• 44 degrees

• 52 degrees

• 54 degrees

Multiple Select

Choose all answers that apply. Which of the following angles are supplementary?

• 42 and 48

• 12 and 78

• 78 and 102

• 38 and 142

​Order of Operations

• ​Order of Operations is a rule that explains which procedure should be done first.

• ​All multiplication and division operations are carried out first, from left to right, in the order they occur.

• ​All addition and subtraction operations are carried out, from left to right, in the order they occur.

Multiple Choice

Pick the correct sequence of steps for Order of Operations:

• Parentheses, Multiplication/Division, Addition/Subtraction, Brackets, Braces

• Multiplication/Division, Addition/Subtraction, Parentheses, Brackets, Braces

• Parentheses, Brackets, Braces, Multiplication/Division, Addition/Subtraction

• Parentheses, Braces, Brackets, Addition/Subtraction, Multiplication/Division

Multiple Choice

12 - 4 x 2 = 

• 16
• 4
• 8
• 18

Multiple Choice

What would be my first step? 3 + 4 x 6 - 4 =

• Addition

• Multiplication

• Subtraction

• Division

Multiple Choice

(7 + 41) ÷ 2 – 15 =

• 19
• 9
• 25
• 3

Multiple Choice

15 + 7 × 2 – 11 + 35=

• 38
• 251
• 53
• 50

Draw

Solve