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## 1.4 Adding Integers

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**1.4 Adding Integers**Standards: NS 1.2 and AF 1.3 Objective: Add Integers using Rules**-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6**Adding Integers • Use the number line to find the sum. Example: -3 + (-5) -3 + -5 = -8 • - - + - - - - - = -8**-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6**Adding Integers • Use the number line to find the sum. Example: -9 + 6 • - - - - - - - - -9 + + + + + + + 6 -3**-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6**Adding Integers Use the + and – to show the work. • -4 + (-6) • 4 + (-6) • -4 + 6**Adding Integers**We are going to predict patterns and make rules based on what we notice. Then, we are going to simplify variable expressions.**Adding Integers**Solve the problems by using + and – to show your work. • 4 + 5 • 16 + 13 Predict: What do you notice about your answers? What rule can we make?**Adding Integers**Rule 1: Adding positives will give you a positive. + + + = +**Adding Integers**Solve the problems by using + and – to show your work. • -12 + (-3) • -5 + (-17) Predict: What do you notice about your answers? What rule can we make?**Adding Integers**Rule 2: Adding negatives will give you a negative. - + - = -**Adding Integers**Solve the problems by using + and – to show your work. • -5 + 8 • -6 + 13 • 10 + (-7) Predict: What do you notice about your answers? What rule can we make?**Adding Integers**Rule 3: Adding a BIGGER positive and smaller negative will give you a positive. TAKE THE SIGN OF THE BIGGER NUMBER. ++-=+**Adding Integers**Solve the problems by using + and – to show your work. • -4 + 1 • -11 + 3 • 12 + (-17) Predict: What do you notice about your answers? What rule can we make?**Adding Integers**Rule 4: Adding a smaller positive and BIGGER negative will give you a NEGATIVE. TAKE THE SIGN OF THE BIGGER NUMBER. ++-=-**Adding Integers**Solve. • -9 + 14 • -7 + -2 • 4 + (-11) • 6 + (-2) + 3 + (-8)**Simplify Expressions**Simplify the expressions by combining like terms. • 4n + (-6n) + 3 • 21w + (-17w) + 6w • 5x + (-2x) + 7**Evaluate Expressions**Evaluate (solve) by combining like terms and substituting. • -5x + 14x + (-6x) when x = 2 • 8x + (-7) + (-5x) when x = 2**Adding Integers**You can use integer addition in real-life situations when you know the direction and the amount of change in a quantity.**Adding Integers**1) The temperature at 4 pm Tuesday was 14° Fahrenheit. By 6 am Wednesday, the temperature had dropped 21°. What was the temperature?