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**Positive and Negative Numbers**

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**Do Now Solve. 1. x + 4 = 19 2. y – 2.3 = 7.8 3. 4z = 120 x = 15 4. = 8**

= 8 x = 15 y = 10.1 z = 30 w 9 w = 72 Hwk: p 39 Course 2

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**EQ: How do I add integers?**

7A1b Evaluate algebraic expressions

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Definition Positive number – a number greater than zero. Positive numbers are to the right of zero. 1 2 3 4 5 6

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Definition Negative number – a number less than zero. Negative numbers are to the left of zero. -6 -5 -4 -3 -2 -1 1 2 3 4 5 6

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Definition Opposite Numbers – numbers that are the same distance from zero in opposite directions -6 -5 -4 -3 -2 -1 1 2 3 4 5 6

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Definition Integers – Integers are the set of whole numbers and their opposites. -7 opposite 7

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**Temperature is measured using positive and negative numbers.**

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**Negative numbers are used to measure the number of feet under the sea**

Negative numbers are used to measure the number of feet under the sea. Positive numbers are used for the number of feet above sea level. 30 20 10 -10 -20 -30 -40 -50

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**Negative numbers show how much is owed.**

Joe borrowed money from the bank for a new computer. The printed bank statement looks list this: $-2,

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**Positive & Negative Numbers**

Working with positive and negative numbers is like driving in traffic. Watch the traffic signs and follow the driving rules.

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Hint If you don’t see a negative or positive sign in front of a number it is positive. 9 +

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**9 + 5 = 14 -9 + -5 = -14 Addition: Rule 1**

Rule #1 – If the signs are the same, pretend the signs aren’t there. Add the numbers and then put the sign of the addends in front of your answer. 9 + 5 = 14 = -14

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Practice = 4 + 7 = (+3) + (+4) = = 5 + 9 = = -8 11 7 -13 14 -18

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Addition: Rule 2 Rule #2 – If the signs are different, subtract the smaller number from the larger one. The answer takes the sign of the absolute value of the larger number. = Larger number Answer = - 4 9 - 5 = 4

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Practice -2 = = (+3) + (-4) = = = = 5 – 3 = 2 3 7 – 4 = 3 4 – 3 = 1 -1 1 7 – 6 = 1 9 – 5 = 4 -4 9 – 9 = 0

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**How are numbers added using a number line?**

When the number is positive count to the right. When the number is negative count to the left. - + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6

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**How are numbers added using a number line?**

= -2 + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

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**How are numbers added using a number line?**

= +2 + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

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**How are numbers added using a number line?**

= -4 + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

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**How are numbers added using a number line?**

= +4 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

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**How are numbers added using a number line?**

= +4 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

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**How are numbers added using a number line?**

= +6 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

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**How are numbers added using a number line?**

= -3 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

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**How are numbers added using a number line?**

= -6 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

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**How are numbers added using a number line?**

= -5 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

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**How are numbers added using a number line?**

= -5 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

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**How are numbers added using a number line?**

= -5 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

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**How are numbers added using a number line?**

4 + 1 = 5 + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

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**How are numbers added using a number line?**

3 + 2 = 5 + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

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**How are numbers added using a number line?**

1 + 5 = 6 + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

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Integer Operations. 1) What’s the rule for adding integers? *If both addends are Positive: - Add together and the sum is positive (Ex. 8 + 4 = 12) *If.

Integer Operations. 1) What’s the rule for adding integers? *If both addends are Positive: - Add together and the sum is positive (Ex. 8 + 4 = 12) *If.

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