Step by Step Percent Problem
Welcome to The Math Review, where we believe that math is not only useful but also exciting! In this video, we'll be exploring the world of discounts and sale prices, using essential math concepts like percents with discounts, percents with processing fees, and calculating discounts and sale prices. We'll also be covering how to calculate percentages, find percent off, and percent discounts, all while aligning with the Common Core State Standard 7.rp.a.3 (7rp3, 7.rp.3).
Discounts and sale prices are essential concepts in both math and everyday life. Whether you're shopping for groceries, clothes, or electronics, knowing how to calculate discounts and sale prices can help you save a lot of money in the long run. It can also help you understand how businesses set their prices and how they use discounts and sales to attract customers.
But first, let's start with the basics. What is a discount, and how do we calculate it? A discount is a reduction in the original price of an item or service, usually expressed as a percentage. For example, if an item is originally priced at $100 and is discounted by 20%, the discounted price would be $80. To calculate the discount, we multiply the original price by the percentage discount. In this case, $100 x 0.20 = $20, which is the discount amount. Then, we subtract the discount amount from the original price to get the discounted price. So, $100 - $20 = $80.
Calculating sale prices is similar to calculating discounts, but with a twist. Instead of reducing the original price by a percentage, we add a percentage markup to the cost of the item to arrive at the sale price. For example, if an item costs $100 and is marked up by 20%, the sale price would be $120. To calculate the sale price, we multiply the cost of the item by the percentage markup. In this case, $100 x 0.20 = $20, which is the markup amount. Then, we add the markup amount to the cost of the item to get the sale price. So, $100 + $20 = $120.
Now that we know how to calculate discounts and sale prices let's move on to how to calculate percentages. A percentage is a way of expressing a number as a fraction of 100. For example, 50% is the same as 50/100, which can be simplified to 1/2 or 0.5. To calculate a percentage, we divide the part by the whole and multiply the result by 100. For example, if 30 out of 100 students in a class are girls, the percentage of girls in the class is 30/100 x 100% = 30%.
Finding percent off and percent discounts is also a crucial skill. Percent off refers to the amount by which the price of an item is reduced, expressed as a percentage of the original price. For example, if an item originally costs $100 and is now priced at $80, the percent off would be 20%. To calculate the percent off, we use the same formula as calculating the discount: discount amount/original price x 100%. In this case, $20/$100 x 100% = 20%.
Similarly, a percent discount refers to the amount by which the price of an item is reduced, expressed as a percentage of the discounted price. For example, if an item is discounted by 20% and is now priced at $80, the percent discount would be 25%. To calculate the percent discount, we use the formula: discount amount/discounted price x 100%. In this case, $20/$80 x 100% = 25%.
*********************
Click Here to Subscribe to the Best Math Channel On YouTube:
/ @themathreview22
*********************
Video Breakdown:
0:00 - 2:29 - Intros and Annotations
2:30 - 4:44 - The Percent Proportion to Find Value of Discount
4:45 - 6:21 - The Butterfly Method for the Discount
6:22 - 7:32 - Finding the Value of the Discount
7:33 - 9:24 - Applying the Discount for Sales Price
9:25 - 11:25 - The Percent Proportion to Find Value of Processing Fee
11:26 - 12:45 - The Butterfly Method of the Processing Fee
12:46 - 14:42 - Finding the Value of the Processing Fee
14:43 - 16:08 - Applying the Processing Fee
16:09 - 17:36 - Final Answer and Summary
*********************
Email: [email protected]
Facebook: / themathreview
*********************
Have a fantastic day, and thanks for watching!
*********************
#themathreview
#percentproportion
#discounts
#processingfees