IM 7.4.9 Lesson: More and Less than 1%

Determine the percentage mentally.
10 is what percentage of 50?
5 is what percentage of 50?
1 is what percentage of 50?
17 is what percentage of 50?
During one waiter’s shift, he delivered appetizers, entrées, and desserts. What percentage of the dishes were desserts? appetizers? entrées? What do your percentages add up to?
Find each percentage of 60.
30% of 60
3% of 60
0.3% of 60
0.03% of 60
What do you notice about your last 4 answers?
20% of 5,000 is 1,000 and 21% of 5,000 is 1,050. Find each percentage of 5,000 and be prepared to explain your reasoning. If you get stuck, consider using the double number line diagram.
1% of 5,000
0.1% of 5,000
20.1% of 5,000
20.4% of 5,000
15% of 80 is 12 and 16% of 80 is 12.8. Find each percentage of 80 and explain your reasoning.
15.1% of 80
15.7% of 80
To make Sierpinski's triangle,[br][list][*]Start with an equilateral triangle. This is step 1.[/*][*]Connect the midpoints of every side, and remove the middle triangle, leaving three smaller triangles. This is step 2.[/*][*]Do the same to each of the remaining triangles. This is step 3.[/*][*]Keep repeating this process.[/*][/list][img]data:image/png;base64,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[/img][br]What percentage of the area of the original triangle is left after step 2? Step 3? Step 10? 
At which step does the percentage first fall below 1%? 
The population of City A was approximately 243,000 people, and it increased by 8% in one year. What was the new population?
The population of city B was approximately 7,150,000, and it increased by 0.8% in one year. What was the new population?
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Information: IM 7.4.9 Lesson: More and Less than 1%