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ADDING REAL NUMBERS Section 2.2 Algebra tiles can be used to add or subtract integers. ... 4, 3, 2, 1, 0, 1, 2, 3, 4,... Remember integers are 1 . 1 3 4 Example 1: Use algebra tiles to represent = = 5 2 4 Use algebra tiles to represent 23 = = 6 zero Neutral pairs have a value of _____. = 0 Example 2: A. Use algebra tiles to represent 5 3 and then cross out any neutral pairs. + = = 2 B. Use algebra tiles to represent 6 4 and then cross out any neutral pairs. = = 2 C. Use algebra tiles to represent 5 4 and then cross out any neutral pairs. 1 D. Use algebra tiles to represent 4 6 and then cross out any neutral pairs. = 2 E. Use algebra tiles to represent 2 and then cross out any neutral pairs. 1 2 3 4 5 There are no neutral pairs = 3 5 F. Use algebra tiles to represent 1 4 and then cross out any neutral pairs. There are no neutral pairs = 5 Rules For Adding Two Signed Numbers: A. Signs are the same – Add the numbers 1. ______________________________________ Take the given sign 2.______________________________________ B. Signs are the different – the numbers 1.Subtract ______________________________________ Take the sign of the larger number 2.______________________________________ Example 3: Find each sum. A. 2 8 Signs are the same 10 Try these… A. 3 12 15 B. 15 23 8 Signs are different C. 5 14 Signs are different 9 Find each sum. B. 17 32 15 C. 15 18 3 Example 4: Find each sum. A. 1.3 2.5 1 1 1 B. 4 4 1 1 2 1 1 4 4 4 2.5 1.3 1.2 1.2 C. 3.7 8.6 3.7 8.6 12.3 -12.3 D. 1 1 2 2 1 4 5 3 3 1 2 2 5 4 3 3 3 2 3 Try these… Find each sum. A. 9 3.7 5.3 C. 6.3 2.5 8.8 B. 3 7 1 4 1 5 4 1 2 D. 4 7 5 3 7 3 15