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Published byPrudence Jade Sims Modified over 8 years ago

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1.4 Adding Integers Standards: NS 1.2 and AF 1.3 Objective: Add Integers using Rules

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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

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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

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Adding Integers Use the + and – to show the work. -4 + (-6) 4 + (-6) -4 + 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

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Adding Integers We are going to predict patterns and make rules based on what we notice. Then, we are going to simplify variable expressions.

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Adding Integers Solve the problems by using + and – to show your work. 1)4 + 5 2)16 + 13 Predict Predict: What do you notice about your answers? What rule can we make?

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Adding Integers Rule 1 Rule 1: Adding positives will give you a positive. +++ + + + = +

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Adding Integers Solve the problems by using + and – to show your work. 1)-12 + (-3) 2)-5 + (-17) Predict Predict: What do you notice about your answers? What rule can we make?

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Adding Integers Rule 2: Adding negatives will give you a negative. - + - = -

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Adding Integers Solve the problems by using + and – to show your work. 1)-5 + 8 2)-6 + 13 3)10 + (-7) Predict Predict: What do you notice about your answers? What rule can we make?

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Adding Integers Rule 3: Adding a BIGGER positive and smaller negative will give you a positive. TAKE THE SIGN OF THE BIGGER NUMBER. + + - = +

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Adding Integers Solve the problems by using + and – to show your work. 1)-4 + 1 2)-11 + 3 3)12 + (-17) Predict Predict: What do you notice about your answers? What rule can we make?

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Adding Integers Rule 4 Rule 4: Adding a smaller positive and BIGGER negative will give you a NEGATIVE. TAKE THE SIGN OF THE BIGGER NUMBER. + + - = -

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Adding Integers Solve. 1)-9 + 14 2)-7 + -2 3)4 + (-11) 4)6 + (-2) + 3 + (-8)

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Simplify Expressions Simplify the expressions by combining like terms. 1)4n + (-6n) + 3 2)21w + (-17w) + 6w 3)5x + (-2x) + 7

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Evaluate Expressions Evaluate (solve) by combining like terms and substituting. 1)-5x + 14x + (-6x) when x = 2 2)8x + (-7) + (-5x) when x = 2

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Adding Integers You can use integer addition in real-life situations when you know the direction and the amount of change in a quantity.

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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?

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Adding Integers

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