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Module 7.2 Lesson 6.notebook 1 October 08, 2015 10/8/15 Module 2, Lesson 6 HW: Lesson 6 Problem Set The Distance between two rational numbers Module 2 Lesson 5 Sprint 2

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Module 7.2 Lesson 6.notebook

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October 08, 2015

10/8/15Module 2, Lesson 6

HW: Lesson 6 Problem Set

The Distance between two rational numbers

Module 2 Lesson 5 Sprint 2

Module 7.2 Lesson 6.notebook

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Lesson 5 Day 2 Hw Answers:1.) -5 2.) 6

Subtract:

3.) -10 4.) 5 5.) -4 6.) 24

7.) 0 8.) 46 9.) -1 10.) 42

11.) -6 12.) -26 13.) 30 14.) -5

Evaluate the expression x - y for each set of values.

15.) 16 16.) -22 17.) 7

18.) 0 19.) 39 20.) -5

21.) 4

22.) 7

S.38

Module 7.2 Lesson 6.notebook

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Discussion:

1.) In life, at any given moment, will we always be able to use a number line to find the distance between two rational numbers? Is it the most efficient way to calculate distance between two points?

2.) What represents the distance between a number and zero on the number line?

3.) If the distance between 5 and 0 can be calculated using 5 - 0 or 5 , do you think we might be able to calculate the distance between -4 and 5 using absolute value?

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To find distance on the number line

To find distance, we find the absolute value of the difference of the two numbers.

ABS(­8 ­ ­3) = ABS(­8 + 3) = ABS(­5) = 5

Since the temperature increased, the change would be 33 degrees

What is the distance between -8 and -3?

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­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10

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­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10

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CLOSING:• How can we use a number line to find the distance between two

rational numbers?

• What does it mean to find the absolute value of a number ?

• Is it possible to use absolute value to find distance between a number, p, and another number, =, that isnot zero ? If so how?

• Is distance always positive? Is change always positive?

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