![]() For example, 70% means 70 out of 100, or 7 out of 10. It is often denoted using the percent sign, “%”. But what exactly is a percentage?Ī percentage is a way of expressing a number as a fraction of 100. When you hear the word “percentage,” you might think of a grade on a test or maybe your favorite player’s batting average. Percentages can be written using decimals (2.5%), fractions (2 1/2%), or even per mille (‰) notation (0.025%). It is often denoted using the percent sign, “%”, or sometimes as “pct.” For example, 45% (read as “forty-five percent”) is equal to 45100, or 0.45. What is a percentage?Ī percentage is a number or ratio expressed as a fraction of 100. In this blog post, we’ll show you how to calculate percentages using three different methods. ![]() If you need to calculate percentages, there are a few different methods you can use depending on the information you have. They’re a common way to communicate statistics and they’re also used in mathematical calculations. Plug the numbers in and see what you get.In today’s world, percentages are used in a variety of ways. The second thing you might want to do at this point is check the answer using a calculator. If you feel you need to, go back through the work again and make sure you understand what is going on. ![]() Take a minute to visually work through the process in your mind. You might want to do a few things at this point. Step 12: Finally, add up the 874, the 39,330 and the 131,100 together to get your final answer. Step 11: Take the 3 and multiply it by the 4 to get 12. Step 10: Now take the 3 and multiply it by the 3 to get 9 and add the 2 carried over from the first multiplication. Repeat the same procedure as before (3 × 7 = 21). Step 9: Take the 3 and multiply it by the 7 to get 21. Once again, in the answer we have to account for the fact that we are using a number in the hundreds column and add two zeros in the answer to start off the process. As the 3 is from the hundreds column, it can be thought of as looking at the equation below. Now do the same procedure using the 3 from the number 392. As this is the last calculation for this part, put the 3 and the 9 into the answer. Then add the 3 that was carried over to get 39. Step 8: The 9 is then multiplied by the 4 to get 36. The 3 goes in the hundreds column below the 8 and the other 3 is carried into the hundreds column to be used in the next calculation (9 × 3 + 6 = 33). We then add the 6 that was carried over to get 33. Step 7: Next multiply the 9 by the 3 to get 27. ![]() The 3 is placed in the tens column below the 7 and then carry the 6 (9 × 7 = 63). When we take the 9 and multiply it by the 7, we get 63. Step 6: Now go ahead and multiply the 9 by all three numbers in the top portion of the equation, starting with the 7. What is the product of four hundred and thirty seven times three hundred and ninety two? How do you think that would be done? The following method is used to calculate large whole numbers, and we’re going to go right to an example complete with the steps for this one as its quite the process, and we really don’t want to go through this twice. Suppose that we want to multiply large numbers together. The following explanation goes through how we tackle this issue from a mathematical viewpoint. The idea is that you memorize these time tables so that when you see small numbers being multiplied, you can just access your memory for the answer.Īlthough memorizing your times tables is great for small numbers, you still will run up against multiplying larger numbers. Take a look at the picture to the left to get and idea of what I’m talking about here. What students end up doing is using their calculator or just memorizing their “times tables.” Times tables are a list of numbers being multiplied, starting at 1 times 1 and going up to 12 times 12. Now, we don’t want to have to go through all that work of counting screwdrivers every time we multiply small numbers together. Click on the image to see it full size or refer to the Appendix A: Times Tables chapter at the back of the book for a full list. A list of times tables for the numbers 1 to 10. If we added 7 plus 7 plus 7 and so on, we would also end up with 42. If we took our calculator and plugged in 6 times 7, we would get the same answer. If we were to count them up, we would find that we have 42 screwdrivers.
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