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Chapter 2 – Properties of Real Numbers 2.3 – Subtraction of Real Numbers

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Today we will be learning how to: Today we will be learning how to: Subtract real numbers using the subtraction rule Subtract real numbers using the subtraction rule Using subtraction of real numbers to solve real-life problems Using subtraction of real numbers to solve real-life problems

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2.3 – Subtraction of Real Numbers Some addition expressions can be evaluated using subtraction. Some addition expressions can be evaluated using subtraction. ADDITION PROBLEM EQUIVALENT SUBTRACTION PROBLEM 5 + (-3) = 2 5 – 3 = 2 9 + (-6) = 3 9 – 6 = 3

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2.3 – Subtraction of Real Numbers Adding the opposite of a number is equivalent to subtracting the number. Adding the opposite of a number is equivalent to subtracting the number. SUBTRACT RULE SUBTRACT RULE To subtract b from a, add the opposite of b to a To subtract b from a, add the opposite of b to a a – b = a + (-b) a – b = a + (-b) The result is the difference of a and b The result is the difference of a and b Example: 6 – 4 = 6 + (-4) Example: 6 – 4 = 6 + (-4)

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2.3 – Subtraction of Real Numbers Example 1 Example 1 Find the difference -6 – 3 -6 – 3 1/2 – 2/3 1/2 – 2/3 -15 – (-16) -15 – (-16) -3 – 6 -3 – 6

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2.3 – Subtraction of Real Numbers Look at the first and fourth example. Look at the first and fourth example. In addition, we have the commutative property. In addition, we have the commutative property. In subtraction, the order in which we subtract matters. In subtraction, the order in which we subtract matters.

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2.3 – Subtraction of Real Numbers Example 2 Example 2 Evaluate the expression 10 – 5 + 14 – (-18)

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2.3 – Subtraction of Real Numbers When an expression is written as a sum, the parts that are added are the TERMS of the expression. For example, you can write the expression 8 – y as 8 + (-y). The terms are 8 and –y. When an expression is written as a sum, the parts that are added are the TERMS of the expression. For example, you can write the expression 8 – y as 8 + (-y). The terms are 8 and –y.

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2.3 – Subtraction of Real Numbers Example 3 Example 3 Find the terms of 3x – 5.

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2.3 – Subtraction of Real Numbers Example 4 Example 4 Evaluate the function y = -x – 7 for these values of x: -2, -1, 0, 1. Organize your results in a table & describe the pattern. InputFunctionOutput x = -2 y = -(-2) - 7 -5 x = -1 x = 0 x = 1

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2.3 – Subtraction of Real Numbers HOMEWORK Page 82 #16 – 50 even

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