2 Chapter Chapter 2 Integers and Introduction to Variables.

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Presentation transcript:

2 Chapter Chapter 2 Integers and Introduction to Variables

Section 2.4 Subtracting Integers

Objective A Subtract Integers.

Subtracting Integers Subtracting Integers Subtracting Two Numbers If a and b are numbers, then a – b = a + (–b). Objective A 4

Example Example Subtract. a. 6 – 10 = 6 + (‒10) = ‒4 b. ‒14 – 19 = ‒14 + (‒19) = ‒33 = ‒12 + 6 = ‒6 Objective A 5

Add and Subtract Integers Objective B Add and Subtract Integers

Example Simplify: 12 – 5 – 7 Objective B

Example Example Simplify: 9 – 6 – (‒3) + 8 9 – 6 – (‒3) + 8 = 9 + (–6) + 3 + 8 = 3 + 3 + 8 = 6 + 8 Objective A = 14 8

Evaluate an Algebraic Expression by Subtracting. Objective C Evaluate an Algebraic Expression by Subtracting.

Evaluating Expressions Example Evaluate 3x + y for x = 2 and y = – 6. Replace x with 2 and y with –6 in 3x + y. 3x + y = 3 · 2 + (–6) Objective B = 6 + (–6) = 6 – 6 = 0

Solve Problems by Subtracting Integers. Objective D Solve Problems by Subtracting Integers.

Example Example In the card game Canasta, it is possible to have a negative score. If Juan’s score is 15, what is his new score if he loses 20 points? because –20 has a negative sign and was the larger of the two numbers Objective A 12