A B C D Using the coordinate plane above, tell the coordinates for A, B, C, and D. Warm Up

1. total ______________Switch the order 2. deduct ___________Divide 3. product ___________Multiply 4. sum ______________Subtract 5. difference _________ Add 6. remain____________Equal 7. gain ______________Answer 8. perimeter __________ 9. is ________________ 10. increased by ________ 11. from_______________ 12. area ____________ 13. less________________ 14. 7n_________________ 15. average_____________ 16. more_______________ 17. share_______________ 18. than________________ 19. evaluate_____________ 20. each/per_____________

M7N1 a. Find the absolute value of a number and understand it as a distance from zero on a number line. b. Compare and order rational numbers, including repeating decimals. KnowUnderstandDo EQ:

The Real Number System

Real Numbers Irrational NumbersRational Numbers ________ ______ ___________

Real Numbers Real numbers consist of all the rational and irrational numbers. The real number system has many subsets: –Natural Numbers –Whole Numbers –Integers

Natural Numbers Natural numbers are the set of counting numbers. {1, 2, 3,…}

Whole Numbers Whole numbers are the set of numbers that include 0 plus the set of natural numbers. {0, 1, 2, 3, 4, 5,…}

Integers Integers are the set of whole numbers and their opposites. {…,-3, -2, -1, 0, 1, 2, 3,…}

Rational Numbers Rational numbers are any numbers that can be expressed in the form of a fraction where the denominator is not zero. They can always be expressed by using terminating decimals or repeating decimals.

Terminating Decimals Terminating decimals are decimals that contain a finite number of digits. Examples:  36.8   4.5

Repeating Decimals Repeating decimals are decimals that contain an infinite number of digits. Examples:  0.333…   … FYI…The line above the decimals indicate that number repeats.

Irrational Numbers Irrational numbers are non-terminating, non- repeating decimals; decimals that go on forever without repeating a pattern. Examples of irrational numbers: – … – … – (pi)

Example Classify all the following numbers as natural, whole, integer, rational, or irrational. List all that apply. a.117 b.0 c … d.-½ e.6.36 f. g.-3

To show how these number are classified, use the Venn diagram. Place the number where it belongs on the Venn diagram. Rational Numbers Integers Whole Numbers Natural Numbers Irrational Numbers …

Solution Now that all the numbers are placed where they belong in the Venn diagram, you can classify each number: –117 is a natural number, a whole number, an integer, and a rational number. – is a rational number. –0 is a whole number, an integer, and a rational number. – … is an irrational number. –-3 is an integer and a rational number. –6.36 is a rational number. – is an irrational number. – is a rational number.

Our school just completed a fundraiser. We need to decide which homeroom had the highest sales because they will win a pizza party. The five eighth grade homeroom teachers reported their sales as a fraction or decimal of total school sales. Order these from greatest to least to decide the winner. (The winner is the homeroom with the greatest sales.) Homerooms Brown 3/8 Steele 0.12 Peterson 1/9 Mabry 0.15 Lawrence 1/4

Students will be able to understand that:.  all fractions have an equivalent repeating or terminating decimal representation  all rational decimals can be written as a fraction Essential Questions:  How do you decide which form of a number is appropriate in the context of a problem?

What are whole numbers?

What are rational numbers?

What are irrational numbers?

TIP literacy and writing strategy T erm Identify the math vocabulary term I nformation Describe the meaning of the math term in your own words P icture Draw a picture to represent the mathematical term

Translation: Positive and Negative Numbers! whole numbers and their opposites

The stock market went down 289 points

-289

78° above zero

78

The football player had a 18 yard loss on the play

-18

Withdrew $1,794 from an ATM Machine

-1,794

The submarine descended 100ft

-100

The stock market went up 243 points today

243

A loss of two pounds

-2

8 units to the left on a number line

-8

A pay cut of $5,000

-5,000

9° below zero

-9

An altitude of 9,800 feet

9,800

A raise of $4,000

4,000

A deposit of $1,006 into a bank account

1,006

One hundred twenty-one feet below sea level

-121

15 units to the right on a number line

+15

The football player had a 18 yard gain on the play

18

Integers are used in everyday Money! Your parents buy a car for $12,000 You save $5 a week.

Integers Are Used to Measure Temperature The temperature dropped 13 degrees from 5 degrees.

Integers are used to measure Above & Below Sea Level The diver dove down 30 feet from sea level.

The elevator moved down three floors from the first floor.

oCoC Read the temperature on the thermometer as it changes C

oCoC Read the temperature on the thermometer as it changes C

Negative Numbers Positive Numbers

Numbers going this way are getting smaller Numbers going this way are getting bigger

Zero is neither negative nor positive.

Put in order from greatest to least. -3, 8, 56, 0, -15, 4, -1 56, 8, 4, 0, -1, -3, -15

Put in order from least to greatest. -256, 457, -5, -88, 136, , -88, -5, 18, 136, 457

Answer the next four questions in your Math notebook

Which of the following correctly completes the sentence? The absolute value of 17 is ________ the absolute value of –17. A.twice B.less than C.equal to Dgreater than

What is the absolute value of (–1) + (–1)? A.–2 B.0 C.1 D.2

Which letters on the graph below have an absolute value of 7.5? A.P and M B.R and Q C.P and Q D.M and N

Determine the value of x, if x = – A.x = 4 B.x = 0 C.x = 4 or –4 D.x = –4

If T = 0 on the number line, which one of the following statements is false? A.The absolute value of R is greater than that of S. B.The absolute value of V is greater than that of U. C.The absolute value of W is the greatest. D.The absolute value of Q is the greatest.