Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers...

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Integers and Absolute Value Section 2-1

Transcript of Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers...

Page 1: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

Integers and Absolute Value

Section 2-1

Page 2: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

Intro to Integers

• An integer is the set of whole numbers and their opposites, including zero, represented by {… -3, - 2, - 1, 0, 1, 2, 3,…}

• A positive integer is a whole number greater than zero.

• A negative integer is w whole number less than zero.

• Website for Integer Rules

Page 3: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

Things to remember

• Graph – means to draw a point on the number line to represent the integer.

• Zero is neither positive nor negative.• Absolute value refers to the distance

away from zero an integer is. (ALWAYS positive!)

Page 4: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

How do I know if it is positive or negative?

• Reference to zero.• Ask yourself, “Is it good, did it help?” • Look for key words:

–Negative: below, loss, withdraw, less than, etc…

–Positive: above, profit, deposit, more than, etc…

Page 5: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

Absolute Value• Key points for absolute value:

–Always positive because it refers to distance from zero, not position on the number line.

–Treat them like ( ). Solve the inside, then take the absolute value.

–Simply remove the sign, keep the number!

Page 6: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

Practice!

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Page 7: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

Comparing and Ordering Integers

Section 2-2

Page 8: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

How to read the signs• < (less than)• > (greater than)

• Example 1: 4 < 8 4 is less than 8

• Example 2: – 5 > – 16 negative 5 is greater than

negative 16

Page 9: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

Ordering Integers

• WARNING! graph or picture where the negative numbers fall on a number line.

• *It may be easier to think, “is this negative number MORE negative that one?”

Page 10: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

True or False! Why?

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Page 11: Integers and Absolute Value Section 2-1. Intro to Integers An integer is the set of whole numbers and their opposites, including zero, represented by.

Homework

• Worksheet–Practice 2-2, All–Skills Practice, Even