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ADDING AND SUBTRACTING REAL NUMBERS Sample Problem 1: Use a number line to find the sum a ? + b + ? c ? +

Adding and Subtracting Integers Find each sum 1) 3 + (?7) 2) (?10) + 12 3) (?5) + 8 4) (?4) + 6 5) (?8) + 12 6) 6 + (?11) 7) (?7) + 2

To add two integers, find the point on the number line corresponding to the first addend (integer) The sum is the number directly below the tip of the arrow

Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Adding and Subtracting Positive and Negative Numbers Evaluate each expression

How do you subtract an integer from another integer without using a number line or counters? Give an example ESSENTIAL QUESTION CHECK-IN ? Guided Practice 5

Example: Unit 2: Introductory Lesson 1 - Properties of Real Numbers Unit 2: Section 3 1/ 3 2 – Algebraic Expressions/ Adding and Subtracting Linear

A linear equation in one variable can be written as follows + = a, b and c are any real numbers Example 1 The following equations are examples

Each number sentence is a related fact Fact families make addition and subtraction easier Example: There were 7 managers present at the workshop Eleven

So, the salinity test is deepest and the ice test is closest to the surface EXAMPLE 3 Modeling Real Life Self-Assessment for Problem Solving Solve each

You have learned how to add and subtract with signed numbers using models and rules How can you solve real-world problems by adding and subtracting signed

1) −4 2) 2 3) 3 4) 2 5) 4 6) −5 7) −5 8) −17 9) −13 10) 2 11) −1 12) 0 13) −1 14) 7 15) −9 16) 9 17) 2 18) 0 19) −1 20) 12 21) −3 22) 1 23) 6

Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Adding and Subtracting Positive and Negative Numbers Evaluate each expression

So, the salinity test is deepest and the ice test is closest to the surface EXAMPLE 3 Modeling Real Life Self-Assessment for Problem Solving Solve each exercise

Worksheet #2 Subtracting Whole Numbers Worksheet #11 Adding Subtracting Mixed Numbers Worksheet #28 Real Numbers: Multiplying and Dividing

You will see that all we have done is added together the real parts and added together the imaginary parts of the two complex numbers to get the answer Example

Use positive and negative numbers to represent quantities in real-world contexts, For example, write –3 oC > –7 oC to express the fact that –3 oC is warmer than –7 subtract rational numbers; represent addition and subtraction on a horizontal or vertical number Make sense of problems and persevere in solving them

-add real numbers using a number line or addition rules -Subtract real numbers using a number line or subtraction rules Remember: Vocab Quiz Tomorrow

Homework: More Practice of Multiplication and Division of Real Numbers Wksht 11, Quiz Lesson 2 4, Adding and Subtracting Integers Worksheet Subtraction

Subtracting Signed Numbers: Some problems can be easily done directly Others are easier Link to practice worksheet on adding/subtracting mixed numbers

Parenthesis; Exponents; Multiplication and Division; Addition and Subtraction SAMPLE PROBLEM #1 Practice 1 3 Real Number and the Number Line

The students will need to know how to add, subtract, multiply, and divide real numbers Use units as a way to understand problems and to guide the solution of on the subtraction rules for real numbers and work on some guided practice

Integers Lesson 12 – Addition Subtraction; Lesson 13 – Multiplication, Division , Absolute Lesson 19 – Practice Test #1; Lesson 20 – Practice Test #2

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