1. FINDING A PERCENT OF A NUMBER

2. STANDARD: 6.RP.A.3C FIND A PERCENT OF A QUANTITY AS A RATE PER 100 (E.G., 30% OF A QUANTITY MEANS 30/100 TIMES THE QUANTITY).

3. 100 DEFINITION OF PERCENT per
PERCENT CAN BE DEFINED AS A RATIO THAT COMPARES A NUMBER TO 100 OR “PER ONE HUNDRED.”
per
100

4. PERCENTS HAVE EQUIVALENTS IN DECIMALS AND FRACTIONS
100
Do you know how to write 20% as a fraction and as a decimal

5. 20 parts out of 100 or 20 hundredths.
20 % MEANS
20 parts out of 100 or 20 hundredths. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100

6. PERCENTS HAVE EQUIVALENTS IN DECIMALS AND FRACTIONS
Simplified
Percent
Decimal
Fraction
20%
.20 20
100 1 5 = = =

7. COPY THE FOLLOWING SLIDES INTO YOUR NOTEBOOK, WHILE YOUR TEACHER READS THEM ALOUD TO YOU!

8. HOW TO FIND THE PERCENT OF A WHOLE NUMBER
THE FIRST THING TO REMEMBER IS “OF” MEANS TO MULTIPLY IN MATHEMATICS. of x =

9. HOW TO FIND THE PERCENT OF A WHOLE NUMBER
STEP 1 - WHEN YOU SEE A PERCENT PROBLEM YOU KNOW WHEN YOU READ “OF” IN THE PROBLEM YOU MULTIPLY. x
25% of 200

10. HOW TO FIND THE PERCENT OF A WHOLE NUMBER
STEP 2 – CHANGE YOUR PERCENT TO A DECIMAL AND THEN MOVE IT TWO PLACES TO THE LEFT. . .
25% x 200

11. HOW TO FIND THE PERCENT OF A WHOLE NUMBER
STEP 3 – MULTIPLY JUST LIKE A REGULAR DECIMAL MULTIPLICATION PROBLEM.
200
x . 25
1000
+400
5000

12. HOW TO FIND THE PERCENT OF A WHOLE NUMBER
STEP 4 – PLACE THE DECIMAL POINT 2 PLACES TO THE LEFT IN YOUR ANSWER.
200
x . 25
1000
+400 .
5000

13. LOOK AT THE EXAMPLE ON THE NEXT SLIDE. SEE IF YOU CAN WORK IT CORRECTLY!

14. WHAT IS THE PERCENT OF THIS NUMBER?.
20 % of 820 . x
820
x . 20
000
+1640 .
16400

15. STOP! DO NOT GO ON!!!!!

16. YOUR TURN ! SEE IF YOU CAN SOLVE THE FOLLOWING PROBLEMS AND THEN CHECK YOUR ANSWERS

17. WHAT IS THE PERCENT OF THIS NUMBER?. x
40 % of 725 . 1 2
725
x . 40
000
+2900 .
29000

18. WHAT IS THE PERCENT OF THIS NUMBER?. x
60 % of 692 . 5 1
692
x . 60
000
+4152 .
21520

19. LET’S SEE HOW WE WILL DO WITH A WORD PROBLEM

20. ON SATURDAY, ALMA MADE 70% OF THE SALES AT A STORE WHERE SHE WORKS
ON SATURDAY, ALMA MADE 70% OF THE SALES AT A STORE WHERE SHE WORKS. THE TOTAL AMOUNT OF SALES AT THE STORE ON SATURDAY WAS $910. WHAT WAS ALMA’S TOTAL AMOUNT OF SALES ON SATURDAY?

21. WHAT IS THE PERCENT OF THIS NUMBER?
910
x . 70
000
+6370 .
63700

22. PERCENTS CAN BE SOLVED BY USING A FRACTION

24. OUTSTANDING WORK! YOUR TEACHER WILL PROVIDE YOU WITH A WORKSHEET THAT INCLUDES ADDITIONAL PROBLEMS FOR YOU TO SOLVE