1 / 26

INTEGERS

INTEGERS. Unit Essential Questions. What are integers? When do we work with integers in the real world? What situations can be represented with integers? How do we add and subtract integers?. Key Vocabulary. Integers Positive Integers Negative Integers Opposites Absolute value

bdevito
Download Presentation

INTEGERS

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. INTEGERS

  2. Unit Essential Questions • What are integers? • When do we work with integers in the real world? • What situations can be represented with integers? • How do we add and subtract integers?

  3. Key Vocabulary • Integers • Positive Integers • Negative Integers • Opposites • Absolute value • Additive Inverse Property

  4. Integers • Whole numbers and their opposites are integers such as 6 and -6. • Zero is not positive or negative but is an integer. 0 -6 6 Opposites What do you notice about the opposite pairs?

  5. Positive number – a number greater than zero. 0 1 2 3 4 5 6

  6. Negative number- a numberless than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

  7. Negative Numbers can be Used to Measure Temperatures below zero.

  8. Negative Numbers Are Used to Measure places Below Sea Level.

  9. NEGATIVE NUMBERS ARE USED TO SHOW DEBT (WHAT YOU OWE.)

  10. Examples of words that can be used to represent positive and negative situations. Can you think of other words used in real life to represent a positive or negative situation?

  11. Comparing itegers The integer to the right on the number line is always larger. Greater than -2 > -17 0 < 22 Less than -247 > -400 Greater than

  12. Opposite Numbers numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 What is the opposite of 0?

  13. What do you notice about the location of the opposite pair of integers? 0 -6 6 Opposites

  14. Class discussion DISTANCE • What is distance? • What kind of numbers are used to show distance?

  15. Video • https://youtu.be/wrof6Dw63Es

  16. Absolute value Absolute value is always positive. The symbol for absolute value is The distance a number is from zero on the number line. -4 4 Absolute value does not equal opposite.

  17. Question? If |x| = 3, what is the value of x?

  18. Answer -3 or 3

  19. YOUR TURN

  20. Distance on a number line • How can you find the distance between two numbers on a number line? Practice https://schoolyourself.org/learn/algebra/distance-1d

  21. To find the distance between any two numbers on the same side of zero you need to subtract the two numbers absolute value. Examples: distance between -5 and -12 is 7 Distance between 20 and 38 is 18 To find the distance between any two numbers on opposite sides of zero you need to add the two numbers absolute value. Examples: Distance between -12 and 4 is 16 Distance between -21 and -4 is 25

  22. Workbook Volume 1 (additive inverse) p. 193 (e, f, g) p. 194 (1-8) p. 195 (1-11) p. 223-224 (distance on a number line)

More Related