1 / 12

Integers and Introduction to Solving Equations

Chapter 2. Integers and Introduction to Solving Equations. Introduction to Integers. 2.1. Numbers greater than 0 are called positive numbers . Numbers less than 0 are called negative numbers. Positive and Negative Numbers. -6. -5. -4. -3. -2. -1. 0. 1. 2. 3. 4. 5. 6. zero.

tdiaz
Télécharger la présentation

Integers and Introduction to Solving Equations

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 Integers and Introduction to Solving Equations

  2. Introduction to Integers 2.1

  3. Numbers greater than 0 are calledpositive numbers.Numbers less than 0 are callednegative numbers. Positive and Negative Numbers -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 zero negative numbers positive numbers

  4. Integers –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 Some signed numbers are integers. Theintegersare { …, –6, –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5, 6, …} zero negative numbers positive numbers

  5. Negative and Positive Numbers –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –3 indicates “negative three.” 3 and +3 both indicate “positive three.” The number 0 is neither positive nor negative. zero negative numbers positive numbers

  6. We compare integers just as we compare whole numbers. For any two numbers graphed on a number line, the number to theright is the greater number and the number to theleft is the smaller number. Comparing Integers < means “is less than” > means “is greater than”

  7. Graphs of Integers –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 The graph of –5 is to the left of –3, so –5 is less than –3, written as –5 < –3 . We can also write –3 > –5. Since –3 is to the right of –5, –3 is greater than –5.

  8. The absolute value of a number is the number’s distance from 0 on the number line. The symbol for absolute value is | |. Absolute Value is 2 because 2 is 2 units from 0. is 2 because –2 is 2 units from 0. –6 –6 –5 –5 –4 –4 –3 –3 –2 –2 –1 –1 0 0 1 1 2 2 3 3 4 4 5 5 6 6

  9. Helpful Hint Since the absolute value of a number is that number’s distance from 0, the absolute value of a number is always 0 or positive. It is never negative. zero a positive number

  10. Two numbers that are the same distance from 0 on the number line but are on the opposite sides of 0 are calledopposites. Opposite Numbers 5 units 5 units –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 5 and –5 are opposites.

  11. Opposite Numbers 5 is the opposite of –5 and –5 is the opposite of 5. The opposite of 4 is –4 is written as –(4) = –4 The opposite of –4 is 4 is written as –(–4) = 4 –(–4) = 4 If ais a number, then–(–a)=a.

  12. Helpful Hint Remember that 0 is neither positive nor negative. Therefore, the opposite of 0 is 0.

More Related