Post on 22-Feb-2016
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Adding Integers
Objective: Add integers.
Adding IntegersAdding Integers with the Same Sign
Add the absolute values.The sum will have the same sign as the addends.
Example 1Find –2 + (-3)
-6 -4-5 1 20-1-2-3
Adding IntegersAdding Integers with the Same Sign
Add the absolute values.The sum will have the same sign as the addends.
Example 1Find –2 + (-3)
-6 -4-5 1 20-1-2-3
Start at zero. Move 2 units to the left. Then, move 3 more units to the left.
Adding IntegersAdding Integers with the Same Sign
Add the absolute values.The sum will have the same sign as the addends.
Example 1Find –2 + (-3)
-6 -4-5 1 20-1-2-3
Start at zero. Move 2 units to the left. Then, move 3 more units to the left.
–2 + (-3) = -5
Adding IntegersAdding Integers with Different Sign
Subtract the absolute values of the integers.The difference will have the same sign of the integer with the greater absolute value.
Example 2Find –4 + 5
-6 -4-5 1 20-1-2-3
Adding IntegersAdding Integers with Different Sign
Subtract the absolute values of the integers.The difference will have the same sign of the integer with the greater absolute value.
Example 2Find –4 + 5
-6 -4-5 1 20-1-2-3
Start at zero. Move 4 units to the left. From there, move 5 units to the right.
Adding IntegersAdding Integers with Different Sign
Subtract the absolute values of the integers.The difference will have the same sign of the integer with the greater absolute value.
Example 2Find –4 + 5
-6 -4-5 1 20-1-2-3
Start at zero. Move 4 units to the left. From there, move 5 units to the right.
–4 + 5 = 1
Adding IntegersAdding Integers with Different Sign
Subtract the absolute values of the integers.The difference will have the same sign of the integer with the greater absolute value.
Example 3Solve x = 10 + (-4) + (-7).
Adding IntegersAdding Integers with Different Sign
Subtract the absolute values of the integers.The difference will have the same sign of the integer with the greater absolute value.
Example 3Solve x = 10 + (-4) + (-7).x = 10 + (-4) + (-7)
Add –4 and –7.
Adding IntegersAdding Integers with Different Sign
Subtract the absolute values of the integers.The difference will have the same sign of the integer with the greater absolute value.
Example 3Solve x = 10 + (-4) + (-7).x = 10 + (-4) + (-7) = 10 + (-11)
Add –4 and –7.Subtract absolute values.
Adding IntegersAdding Integers with Different Sign
Subtract the absolute values of the integers.The difference will have the same sign of the integer with the greater absolute value.
Example 3Solve x = 10 + (-4) + (-7).x = 10 + (-4) + (-7) = 10 + (-11) = -1
Add –4 and –7.Subtract absolute values. The result is negative because |-11| > |10|.
Adding IntegersPracticea. Find –5 + 11
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11 +6
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6) +8
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6 +4
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11) -5
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5) -9
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10) -7
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5) -8
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)h. Find 13 + (-4) + (-5)
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)h. Find 13 + (-4) + (-5) 4
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)h. Find 13 + (-4) + (-5)i. Find –12 + 5 + (-4)
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)h. Find 13 + (-4) + (-5)i. Find –12 + 5 + (-4) -11
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)h. Find 13 + (-4) + (-5)i. Find –12 + 5 + (-4)j. Find 4 + (-9) + 5
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)h. Find 13 + (-4) + (-5)i. Find –12 + 5 + (-4)j. Find 4 + (-9) + 5 0
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)h. Find 13 + (-4) + (-5)i. Find –12 + 5 + (-4)j. Find 4 + (-9) + 5k. Find –4 + (-5) + 3
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)h. Find 13 + (-4) + (-5)i. Find –12 + 5 + (-4)j. Find 4 + (-9) + 5k. Find –4 + (-5) + 3 -6
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)h. Find 13 + (-4) + (-5)i. Find –12 + 5 + (-4)j. Find 4 + (-9) + 5k. Find –4 + (-5) + 3l. Find 6 + (-7) + (-5)
Adding IntegersPracticea. Find –5 + 11b. Find 14 + (-6)c. Find –2 + 6d. Find 6 + (-11)e. Find –4 + (-5)f. Find 3 + (-10)
-2 7-3 3-6 -1 0 1 2-4-5 8 9 10-10 -9 -8 -7 4 5 6
g. Find –3 + (-5)h. Find 13 + (-4) + (-5)i. Find –12 + 5 + (-4)j. Find 4 + (-9) + 5k. Find –4 + (-5) + 3l. Find 6 + (-7) + (-5) -6