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Integer Review (Chapter 2 Lessons 1 and 2). Review: Sets of numbers you’ve already studied: Natural numbers (also called the counting numbers ) {1, 2, 3, 4, …} II. Whole numbers { 0, 1, 2, 3, 4, …}. Lesson concept: Integer – a positive or negative whole number. (p.56)
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Integer Review(Chapter 2 Lessons 1 and 2) Review: Sets of numbers you’ve already studied: Natural numbers (also called the counting numbers) {1, 2, 3, 4, …} II. Whole numbers {0, 1, 2, 3, 4, …}
Lesson concept: • Integer – a positive or negative whole number. (p.56) • Integers = {…,-3, -2, -1, 0, 1, 2, 3, …} • No fractions or decimals • Zero is neither positive or negative
Who recalls what the following symbol is called? What does it mean?
The symbol stands for “absolute value”and it means “what is the distance a number is from zero on the horizontal number line.” both answers are 5 because both numbers are5 units away from zero on the number line
What do you think the answer is to the following problem? = Solve the following: = = = =
When adding integers, there are two cases to consider: • Adding integers with the same sign. • Ex 1, • 7 + 5 = ________ • –3 + (–12) = _______ • Add the values together • Carry the sign of the numbers into the answer
Adding integers with different signs. • Ex 2, • 10 + (–4) = ______ • 8 + (–12) = ______ • Subtractthe two numbers • Use the sign of the number with the greater absolute value. • Give it a try! • 13 + (–16) = ____ • 24 + (–4) = ____
Defn. Opposites – two numbers with the same absolute value but different signs. (p. 66) Ex 3, 5 and –5 Defn. Additive inverse – the opposite of a given number (p. 66) Ex 4, The additive inverse of 3 is ___ What is the additive inverse of –8? _____