Efficiently adding integers and other rational numbers
This presentation is the property of its rightful owner.
Sponsored Links
1 / 17

Efficiently Adding Integers and Other Rational Numbers PowerPoint PPT Presentation


  • 63 Views
  • Uploaded on
  • Presentation posted in: General

Efficiently Adding Integers and Other Rational Numbers. When playing the Integer Game, you have 3 cards in your hand with a sum of −15. Then, you draw a (−5) card. Using addition, how would you write an equation to represent your score? What is the absolute value of 15?

Download Presentation

Efficiently Adding Integers and Other 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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Efficiently adding integers and other rational numbers

Efficiently Adding Integers and Other Rational Numbers


Efficiently adding integers and other rational numbers

  • When playing the Integer Game, you have 3 cards in your hand with a sum of −15. Then, you draw a (−5) card. Using addition, how would you write an equation to represent your score?

  • What is the absolute value of 15?

  • What is the sum of −4 + (−10)?

  • In what direction does the arrow point on a number line for a negative number?

  • What is an additive inverse of 5? What is the additive inverse of −9? What is the additive inverse of a number?


Efficiently adding integers and other rational numbers

  • 1) Represent the sum of 3 + 5 using arrows on the number line.

  • 2) How long is the arrow that represents 3?

  • 3) What direction does it point?

  • 4) How long is the arrow that represents 5?

  • 5) What direction does it point?

  • 6) What is the sum?

  • 7) If you were to represent thevii. What is the relationship between the arrow representing the number on the number line and the absolute value of the number?

  • 8) Do you think that adding two positive numbers will always give you a greater positive number? Why?


Efficiently adding integers and other rational numbers

  • 9) Represent the sum of −3 + (−5) using arrows that represent −3 and −5 on the number line.

  • 10) How long is the arrow that represents −3?

  • 11) What direction does it point?

  • 12) How long is the arrow that represents −5?

  • 13) What direction does it point?

  • 14) What is the sum?

  • 15) If you were to represent the sum using an arrow, how long would the arrow be and what direction would it point?

  • 16) Do you think that adding two negative numbers will always give you a smaller negative number? Why?


Efficiently adding integers and other rational numbers

  • What do both of these examples have in common?


Efficiently adding integers and other rational numbers

  • RULE: Add integers with the same sign by adding the absolute values and using the common sign


Efficiently adding integers and other rational numbers

  • RULE: Add integers with opposite signs by subtracting the absolute values and using the sign of the integer with the greater absolute value.


Efficiently adding integers and other rational numbers

Thinking about the problem:

Which addend has the greatest absolute value (length of the arrow)? What direction does this arrow point?

What is the length of this arrow?

What is the final sign? What is the direction of the resulting arrow?


Closure

Closure

  • What are the rules of adding numbers with opposite signs?

  • What is the sum of −3 + (−8)?

  • What do you think the rules would be for subtracting numbers with same sign?


  • Login