1. Operations and Integers Mrs. Bryand

2. Fraction Fun

3. Were here to show you the rules! Adding Fractions Subtracting Fractions Multiplying Fractions Dividing Fractions

4. Multiplying Fractions Multiplying fractions is easy Straight Across!

5. Try some. Multiply the following:

6. Answers

7. Dividing Fractions Dividing fractions requires one more step Keep It, Change It, Flip It Called the reciprocal

8. Examples: 5 ÷ 1 8 2 1 ÷ 3 4

9. Adding Fractions Adding fractions requires a common denominator

10. Examples: 1 + 2 5 3 2 + ¼ ½

11. Subtracting Fractions Subtracting fractions requires a common denominator

12. Examples: 2 – 1/5 ¼ - 2/3

13. To add or subtract with decimals you LINE up the decimals! Ex: 2.345 + 17.4 Ex: 62.34 - 5

14. To multiply or divide with decimals you place the decimal in the answer based on the number of digits behind the decimal in each term. The decimals in the problem do NOT have to line up. Ex: 1.234 x 56.7 Ex: 4.2 ÷ 3

15. Interesting Integers!

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

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

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

19. Definition Absolute Value – The size of a number with or without the negative sign. The absolute value of 9 or of –9 is 9.

20. Negative Numbers Are Used to Measure Temperature

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

22. 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.

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

24. Integer Rules Rule #1 – If the signs are the same, Add and Keep the sign 9 + 5 = 14 -9 + -5 = -14

25. Solve the Problems -3 + -5 = 4 + 7 = (+3) + (+4) = -6 + -7 = 5 + 9 = -9 + -9 = -8 -18 14 -13 7 11

26. Integer Rules Rule #2 – If the signs are different… “Opposites Subtract” and keep the sign of the bigger number! -9 + +5 = 9 - 5 = 4 Larger abs. value Answer = - 4

27. Solve These Problems 3 + -5 = -4 + 7 = (+3) + (-4) = -6 + 7 = 5 + -9 = -9 + 9 = -2 5 – 3 = 2 0 -4 1 3 9 – 9 = 0 9 – 5 = 4 7 – 6 = 1 4 – 3 = 1 7 – 4 = 3

28. Multiplying or Dividing Integers If the signs are the same the answer is + If the signs are different the answer is – Examples: (24)(3) (-108)(-4) (24)(-3) (-108)(4)

29. Aren’t integers interesting?