1 / 21

C hapter 2.2 Adding and Subtracting Rational Numbers

C hapter 2.2 Adding and Subtracting Rational Numbers. The set of all numbers that can be represented on a number line are called real numbers . You can use a number line to help you with addition and subtraction of real numbers. Addition To add a number, always move to the right.

martinezmichael
Download Presentation

C hapter 2.2 Adding and Subtracting Rational Numbers

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 2.2 Adding and Subtracting Rational Numbers

  2. The set of all numbers that can be represented on a number line are called real numbers. You can use a number line to help you with addition and subtraction of real numbers. Addition To add a number, always move to the right. Subtraction To subtract a number, always move to the left. BUT: If adding or subtracting a NEGATIVE number, switch directions.

  3. -3 -1 0 1 2 3 4 6 8 9 -2 7 5 Add or subtract using a number line. –3 + 7 Start at 0. Move left to –3. To add 7, move right 7 units. +7 –3 –3 + 7 = 4

  4. 11 10 7 6 5 4 3 2 1 9 8 0 Add or subtract using a number line. –4 + (–7) Start at 0. Move left to –4. To add –7, move left 7 units. + (–7) –4 –4 + (–7) = –11

  5. -3 -2 -1 0 1 2 3 4 5 6 8 9 7 Add or subtract using a number line. 3 – (–6) Start at 0. Move right to 3. To subtract –6, move right6units. –(–6) + 3 3 – (–6) = 9

  6. Add or subtract using a number line. –3 – 7 Start at 0. Move left to –3. To subtract 7, move left 7 units. –7 –3 11 10 6 9 8 7 5 4 3 2 1 0 –3 – 7 = –10

  7. Subtracting can be thought of as the “opposite of”. 5 – (–4) 5 − (–4) = 5 + 4 To subtract –4, add 4. 5 − 4 = 5 + 4 (– ) (5 + 4 = 9) = 9

  8. Add or subtract using a number line. –5 – (–6.5) Start at 0. Move left to –5. To subtract –6.5, move right 6.5 units. – (–6.5) –5 8 7 6 5 2 1 0 1 2 4 3 –5 – (–6.5) = 1.5

  9. Another way to look at it: a) b) c) d) e) 7 + 12 So, try some now: 1) 2) 3) 4) –2 – 9 –13 – 4 6 – (–8) 10 – (-9) –5 + 8 –11 + 6 5 - 14 2 +(-13)

  10. Chapter 2.3 and 2.4 – Multiplying and Dividing Rational Numbers When you multiply or divide two numbers, the signs of the numbers determine whether the result is positive or negative. Numbers Product/Quotient Both positive Positive Negative One negative Both negative Positive

  11. Find the value of each expression. A. C. –5 B. 12

  12. Simplify each expression a.) 4(-3y) – 15y b.) 13x + (-6)(4x) -12y – 15y -27y 13x + (-24x) -11x

  13. The value of a company’s stock dropped by $1.25 per share. By what amount did the total value of the company’s stock change if the company has issued 500,000 shares of the stock? Stock Market Example 500,000 (1.25) = $625,000 DROP!!

  14. Two numbers are reciprocals if their product is 1. A number and its reciprocal are called multiplicativeinverses. To divide by a number, you can multiply by its multiplicative inverse.

  15. Evaluate the expression. Example 2 Dividing by Fractions

  16. Helpful Hint You can write the reciprocal of a number by switching the numerator and denominator. A number written without a denominator has a denominator of 1.

  17. Evaluate the expression

  18. Simplify each expression a.) b.) 3a + 2 – 12x + 8

  19. Lesson Review Simplify. a. -8 + 13 e. b. 7 – 19 f. c. -12 – (-15) g. h. d. -10 + (-36)

  20. Assignment • 2-2, 2-3 & 2-4 Study Guide/Skills Practice Worksheets (In-Class) Homework • Pages 823 – Lesson 2-2 Odds • Pages 823 – Lesson 2-3 Odds • Pages 824 – Lesson 2-4 Odds • Quiz on Sections 1-1, 1-2, 1-5, 2-2, 2-3, and 2-4 on Friday, September 18th!!!

More Related