Compare and order integers Find the absolute value of an expression Lesson 2-1 Rational Numbers and Exponents

Number Review What numbers make up the natural numbers? (Hint: the are also called the counting numbers) What numbers make up the whole numbers (Hint: only one number separates the whole numbers from the natural numbers. Rational Numbers and Exponents

● Negative number - a number less than zero. ● Positive number - a number greater than zero. ● Integers - the set of numbers that include the positive and negative whole numbers. Example: ● Opposites - two numbers that are the same distance from zero on the number line. ● Absolute value- the distance a number is from zero on the number line. Lesson 2-1 Rational Numbers and Exponents Math inequality symbols is greater than

Rational Numbers and Exponents Key Concept: Comparing and Ordering Integers {…-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …} The further right the greater the number The further left the lesser the number Example 1: Compare the following integers using, or =. a. 12 _______ -4 b. -17 _______ -5 c. -13 _______ -14 Example 2: Which list of integers is in order from least to greatest? A. -42, -39, -4, 40, 41 B. -42, 41, 40, -39, -4 C. -4, -39, 40, 41, -42 D. 41, 40, -4, -39, -42

Key Concept: Meaning of Integers Rational Numbers and Exponents Write an integer for each situation. Then identify its opposite and describe what it means. 1) 32 feet underground ______; _______; ____________________________ 2) 8 weeks after winning ______; ______; ____________________________

Absolute Value Rational Numbers and Exponents Lesson 2-1 WordsThe absolute value of a number is the distance the number is from zero on the number line. The absolute value of a number is always greater than or equal to zero. Example|6| and |–6| Symbols|6| = 6The absolute value of 6 is 6. |–6| = 6The absolute value of –6 is 6.

Example 3: Evaluate each of the following. a. | -5 | = ________ b. |0| = _______ c. = _______ d. The absolute value of 23 is _____. Rational Numbers and Exponents Key Concept: Meaning of Integers

Mathematical Practices 1Make sense of problems and persevere in solving them. 2Reason abstractly and quantitatively. 3Construct viable arguments and critique the reasoning of others. 4Model with mathematics. 7Look for and make use of structure Lesson 2-1 Rational Numbers and Exponents Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Lesson 2-1 Rational Numbers and Exponents What happens when you add, subtract, multiply, and divide integers? How did what you learned today help you answer the

7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. 7.NS.1a Describe situations in which opposite quantities combine to make 0. Lesson 2-1 Rational Numbers and Exponents Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

How do you think learning about integers and absolute value will help you with learning how to add integers? Lesson 2-1 Ratios and Proportional RelationshipsRational Numbers and Exponents