Presentation on theme: "The student is expected to: (B) select and use appropriate forms of rational numbers to solve real- life problems including those involving proportional."— Presentation transcript:
The student is expected to: (B) select and use appropriate forms of rational numbers to solve real- life problems including those involving proportional relationships. 8.1B Number, operation, and quantitative reasoning. The student understands that different forms of numbers are appropriate for different situations.
Proportion: A statement that shows that two ratios are equal. Ex: 1:3 students= 2:6 students Part:Total A % is ALWAYS out of 100 For example: 16% 16 part 100 total
Solving problems: When you solve problems that involve rational numbers, numbers may need to be converted from one form to another. For example, to find a percent of change, convert the percent to a decimal before multiplying. In a problem that includes both fractions and decimals, it may be helpful to convert all the numbers to either fractions or decimals.
Problem #2: A bag of color tiles contains 26% green, 34% red, 24% blue, and 16% yellow color tiles. The bag contains 250 color tiles. Write a proportion that can be used to find y, the total number of yellow color tiles in the bag. Step 1: First rewrite the __Percent_ of yellow color tiles as a fraction. ( a % is ALWAYS out of 100) %16 Y Part 100 100 250 Whole (total)
BIG REMINDER ON % A % is ALWAYS OUT OF 100 Ex: 25% is written as 25/100 It also represents a part of a total Ex: part 16 total 100
Problem #3: An electronic device counted 2,851 vehicles passing through an intersection during a 6-hour period. If the number of vehicles passing through this intersection per hour remains the same, write a proportion that can be used to find x, the number of vehicles that would be counted by the device during a 10-hour period. Step 1: First write a fraction to represent the number of vehicles passing through the intersection during a 6-hour period. number of vehicles 2851 X time period 6 10