1. Transparency 5 Click the mouse button or press the Space Bar to display the answers.

2. Example 5-7c Objective Estimate by using equivalent fractions, decimals, and percents

3. Example 5-7c Vocabulary Compatible numbers Two numbers that are easy to divide mentally

4. Example 5-7c Math Symbols Approximately equal to 

5. Lesson 5 Contents Example 1Estimate Percents of Numbers Example 2Estimate Percents of Numbers Example 3Estimate Percents of Numbers Example 4Estimate Percents Example 5Estimate Percents Example 6Estimate Percents Example 7Estimate Percent of an Area

6. Example 5-1a Answer:  35 Estimate 48% of 70. 1/7 Write the problem 48% of 70 Round 48% to 50% 50%  70 70 is a compatible number (easy to figure) 50% represents half of something Half of 70 is 35 35

7. Example 5-1b Answer:  30 Estimate 51% of 60. 1/7

8. Example 5-2a Answer:  70 Estimate 75% of 98. 2/7 Write the problem Round 75% to either 70% or 80% 75% of 98 70% Round 98 to 100 70%  100 Multiply the non-zero digits 7  1 7 Bring down the 3 zeros 7000 Remove the % and divide by 100 100 Cancel zeros 70

9. Example 5-2b Answer:  8 Estimate 25% of 33. 2/7

10. Example 5-3a Answer:  8 Estimate 12% of 81. 3/7 Write the problem 12% of 81 Round 12% to 10% 10% Round 81 to 80 10%  80 Multiply the non-zero digits 1  8 8 Bring down the 2 zeros 800 Remove the % and divide by 100 100 Cancel zeros

11. Example 5-3b Answer:  8 Estimate 37% of 17. 3/7

12. Example 5-4a Answer:  Estimate the percent 12 out of 47. 4/7 Write the problem What % is 12 out of 47 Round 12 to 10 and put in numerator 10 Round 47 to 50 and put in denominator 50 Cancel out zeros 1 5 Divide numerator by denominator 0.20 Multiply by 100 and put % 20%

13. Example 5-4b Answer:  20% Estimate the percent 15 out of 76. 4/7

14. Example 5-5a Estimate the percent 19 out of 31. Answer:  5/7 Write the problem What % is 19 out of 31 Round 19 to 20 and put in numerator 20 Round 31 to 30 and put in denominator 30 Cancel out zeros Divide numerator by denominator 0.666... Multiply by 100 and put % 66.6%

15. Example 5-5b Estimate the percent 14 out of 47. Answer:  20% 5/7

16. Example 5-6a Estimate the percent 41 out of 200. Answer:  6/7 Write the problem What % is 41 out of 200 Round 41 to 40 and put in numerator 40 200 is compatible with 40 so put in denominator 200 Cancel out zeros Divide numerator by denominator 0.20 Multiply by 100 and put % 20%

17. Example 5-6b Estimate the percent 11 out of 100. Answer:  10% 6/7

18. Example 5-7a ART An artist creates a design on a grid. Estimate the percent of the grid that has been painted so far. Estimate how many squares are shaded 7/7 4 mostly shaded 4 + 2 partly shaded to make 1 4 + 1 +

19. Example 5-7a ART An artist creates a design on a grid. Estimate the percent of the grid that has been painted so far. 7/7 4 + 2 partly shaded to make 1 4 + 1 +4 + 1 + 1 Add the shaded and put in numerator 6

20. Example 5-7a ART An artist creates a design on a grid. Estimate the percent of the grid that has been painted so far. 7/7 4 + Count the total number of squares and put in denominator 4 + 1 +4 + 1 + 1 6 20 Divide numerator by denominator 0.30

21. Example 5-7a ART An artist creates a design on a grid. Estimate the percent of the grid that has been painted so far. 7/7 4 + Multiply by 100 and add % 4 + 1 +4 + 1 + 1 6 20 0.30 30% Answer:  30% shaded

22. Example 5-7c ART An artist creates a design on a grid. Estimate the percent of the grid that has been painted so far. Answer:  35% shaded * 7/7