1. Positive and Negative Numbers Working on the Number Line

2. Definition Positive number – a greater than zero. 0123456

3. Definition Negative number – a less than zero. 0123456-2-3-4-5-6

4. Definition Opposite Numbers – numbers that are the same distance from zero in the opposite direction 0123456-2-3-4-5-6

5. Definition Integers – are all the whole numbers and all of their opposites on the negative number line including zero. 7 opposite -7

6. Negative Numbers Are Used to Measure Temperature

7. Negative Numbers Are Used to Measure Under Sea Level 0 10 20 30 -10 -20 -30 -40 -50

8. Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5,000. When counting all their money they add in -$5.000 to show they still owe the bank.

9. Hint If you don’t see a negative or positive sign in front of a number it is positive. 9 +

10. -5 5 0 10-10 -5 5 0 10-10 -5 5 0 10-10

11. Vocabulary Greater than (>) – a symbol used to show numbers greater than another Less than (<) – a symbol used to show numbers less than another Equals (=) a symbol used to show numbers having the same value

12. Remember! The hungry alligator always eats the largest number.

13. How to compare numbers Line up the numbers Compare at highest place value If numbers are the same go to next digit to the right 12,391 8,971 13,762 12,391 8,971 13,762 12,391 8,971 13,762 123

14. Write or = 5,931 4,931 > Look at the 5 & 4

15. Write or = 941951 <

16. Write or = 1,252 1,232 >

17. Write or = 2,425 =

18. Write or = 12,349 12,449 <

19. Write or = Five thousand 50,000 <

20. Positive and negative integers can be shown on a number line. Positive integersNegative integers We can use the number line to compare integers. For example, –3–8 –3 > –8 –3 ‘is greater than’ –8 Integers on a number line

21. Ordering negative numbers Write the integers –2, 8, 2, –6, –9 and 5 in order from smallest to largest. We can also use a number line to help us write integers in order. Look at the position of the integers on the number line: –9–6–2258 So, the integers in order are: –9, –6, –2, 2, 5, and 8