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Integer Introduction

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Warm Up Write each decimal as a fraction. 1.) 1.8 = 2.) 15.25 = 3.).008 = 4.).85 =

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Objectives Student Expectation: We will explore integers on a # line. Product: I will explore integers on a # line

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Vocabulary opposite integer absolute value

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Create A Number Line Fold Sentence Strip in Half Place Zero (0) on sentence strip at fold Use a ruler and place marks at each inch. # the lines on each side of zero. Should go to 12 and -12.

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Numbers on Number Line On the LEFT side of zero, start with 1 and the numbers get larger. Label the numbers on the LEFT side of zero with a negative sign (-); these are NEGATIVE NUMBERS and get smaller the farther you go from zero. The numbers on the RIGHT side of zero are POSITIVE NUMBERS and get larger the farther you go from zero.

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The opposite of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. Zero is its own opposite. 1 2 3 4 5 –5–4–3–2–1 0 –4 and 4 are opposites –44 Negative integers Positive integers 0 is neither positive nor negative

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The integers are the set of whole numbers and their opposites. By using integers, you can express elevations above, below, and at sea level. Sea level has an elevation of 0 feet. The whole numbers are the counting numbers and zero: 0, 1, 2, 3,.... Remember!

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Graph the integer 7 and its opposite on a number line. 1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0

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Graph the integer 5 and its opposite on a number line. 1 2 3 4 5 6 7 –7 –6–5 –4 –3–2–1 0

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You can compare and order integers by graphing them on a number line. Integers increase in value as you move to the right along a number line. They decrease in value as you move to the left.

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Compare the integers. Use. 4 is farther to the right than -4, so 4 > -4. 1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0 4 -4> The symbol means “is greater than.” Remember!

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Compare the integers. Use. -15 -9 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1

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Compare the integers. Use. 1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0 6 -6

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Compare the integers. Use. -4 -11 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1

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Use a number line to order the integers from least to greatest. –3, 6, –5, 2, 0, –8 1 2 3 4 5 6 7 8 –8 –7–6 –5–4 –3 –2 –1 0

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Use a number line to order the integers from least to greatest. –5, 4, –3, 2, –1, –2 1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0

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A number’s absolute value is its distance from 0 on a number line. Since distance can never be negative, absolute values are never negative. They are always positive or zero.

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Use a number line to find each absolute value. |8| 1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0 8 units 8 is 8 units from 0, so |8| = 8.

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The symbol is read as “the absolute value of.” For example -3 is the absolute value of -3. Reading Math

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Use a number line to find each absolute value. |–12| –12 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2

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Use a number line to find each absolute value. |3| 1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0

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Use a number line to find the absolute value. |–9| –12 –11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2

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Lesson Quiz: Part I Compare. Use, or =. 1. –32 32 2. 26 |–26| 3. –8 –12 4. Use a number line to order the integers –2, 3, –4, 5, and –1 from least to greatest. 1 2 3 4 5 –5–4 –3 –2–1 0

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Lesson Quiz: Part II Use a number line to find the absolute value. 5. -3 1 2 3 4 5 –5 –4 –3 –2 –1 0 3 units

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Assignment Practice 2-1

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