Warm Up < > = < -3, -2/5, -.34, 0, 3/4 Compare: 1) -8 -5

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Presentation transcript:

Warm Up < > = < -3, -2/5, -.34, 0, 3/4 Compare: 1) -8 -5 1) -8 -5 2) 7.3 7.23 |-9| 9 -2/3 -1/5 Put in order from least to greatest: -.34 ¾ -2/5 0 -3 < > = < -3, -2/5, -.34, 0, 3/4

Warm Up < < = < -3, -1/2, -.34, -.12, 0 Compare: 1) -9 -5 1) -9 -5 2) - 0.3 - 0.23 |-8| 8 -1/2 -2/5 Put in order from least to greatest: -.34 -1/2 -.12 0 -3 < < = < -3, -1/2, -.34, -.12, 0

Absolute value is how far a number is from zero on a number line 3 3

Let’s look at some integer models… We can represent integers using red and yellow chips. Red chips will represent negative integers, and yellow chips will represent positive integers. Negative integer Positive integer

-3 -3 The examples below show two different ways to represent -3. How can the example on the right represent the same integer as the example on the left? -3 -3

Tell which integer each group of chips represents. +1 -2 +2

If there are the same number of red chips as yellow chips, what number is represented? It represents 0 because -3 + 3 = 0.

7

What number is represented by combining the 2 groups of chips? Write the number sentence that is illustrated. -2 + +5 = +3 +3

1) -2 + -8 = -10 2) +6 + -4 = +2

Use your chips to represent the following integer addition problems. -3 + 3 = -6 + -2 = - 8 -7 + (12)= 5

Solve these problems using chips. -3 + -5 = 4 + 7 = (+3) + (+4) = -6 + -7 = 5 + 9 = -9 + -9 = -8 11 7 -13 14 -18

A positive number plus a positive number equals a positive number. (+21) + (+15) = (+36) 12 + 15 = 27

A negative number plus a negative number is a negative number. ( - 5) + ( -8) = -13

What is the rule for adding integers when the signs are different? ( -2 ) + (+8) = 7 + -3 = 6 4

* If the signs are different, you subtract and use the sign of the number with the largest absolute value. EXAMPLES: 12 + - 4 = 11 + -15 = 8 -4

1) -2 + 4 = 2) 9 + -3 = 3) -3 + -4= 4) (+4) + (+9) = 5) -4 + 4= Solve these problems. 1) -2 + 4 = 2) 9 + -3 = 3) -3 + -4= 4) (+4) + (+9) = 5) -4 + 4= 2 6 -7 13

Using the number line to add integers… 2 + 5 = 7 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -3 + 7 = 4 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 - 4 + 7 = 3 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

When you add positive numbers… go to the right When you add positive numbers… go to the right. When you add negative numbers… go to the left. +3 + -5 = -2 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

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

-3 + (+7) = +4 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

1 - 7 + 13 + -5= -15 - 32 + 14 + 3 = -18 -8 + (-7) + (-3)= Use any strategy… 1 - 7 + 13 + -5= -15 - 32 + 14 + 3 = -18 -8 + (-7) + (-3)= (-5) + (0) + (-5)= - 10

Use any strategy -7 + -7 = 35 + - 18 = 17 -7 + 15= 8

Adding Integers Review * If the signs are different you subtract and use the sign of the number with the largest absolute value. EXAMPLES: 12 + - 4 = 8 11 + -15 = - 4 * If the signs are the same, you add the numbers and keep the sign. Examples: (-2) + (-4) = -6 (+3) + (+4) = +7

7 5 1 -3 -6 4 -5 -4

-10 + 7 -3

-14 + 12 -2