How to Handle Dry Ice Safely

How to Handle Dry Ice Safely The solid form of carbon dioxide is called dry ice. Dry ice is the perfect ingredient for fog, smoking volcanoes, and other spooky effects! However, you need to know how to transport, store, and use dry ice safely before you get it. Here are tips to help keep you safe. How To Get and Transport Dry Ice You can obtain dry ice from some grocery stores or gas companies. Its important to be prepared to transport dry ice before you purchase it. This will help it last longer and prevent accidents. Plan to get enough dry ice. It will sublimate at the rate of  five to ten pounds each 24 hours (for pellets or chips), so if you wont be using the dry ice right away, plan for the loss of product. The rate of sublimation also depends on the exposed surface area. Dry ice pellets will convert to gas more quickly than a solid chunk of dry ice.  Bring a cooler or a cardboard box. Your goal is to insulate the dry ice from warmer temperatures. Its also helpful to have a blanket or sleeping bag to wrap around the container to protect it from temperature changes.Usually dry ice is sold in paper bags. Set the paper bag inside the box or cooler. Close the lid to insulate the dry ice, but make sure it does not seal. This is important, because dry ice sublimates from its solid form into carbon dioxide vapor. The gas builds up pressure and could cause an explosion if it doesnt have a way to escape.As sublimation occurs, the level of carbon dioxide in the vehicle will rise. Make sure new air c irculates into the vehicle to prevent carbon dioxide poisoning. Storing Dry Ice The best way to store dry ice is in a cooler. Again, make sure the cooler is not sealed. You can add insulation by double-bagging the dry ice in paper bags and wrapping the cooler in a blanket. Its best to avoid putting dry ice in a refrigerator or freezer because the cold temperature can cause your thermostat to switch the appliance off, carbon dioxide levels could build up inside the compartment, and gas pressure could force open the door of the appliance. Using Dry Ice Safely The 2 rules here are (1) dont store dry ice in a sealed container and (2) avoid direct skin contact. Dry ice is extremely cold (-109.3 °F or -78.5 °C), so touching it can cause immediate frostbite. Use gloves or tongs to handle dry ice.Be aware cold carbon dioxide sinks, so risks from too much carbon dioxide are highest close to the ground or in any enclosed space. Make sure there is good air circulation.If youre using dry ice in drinks to produce fog, be careful you dont ingest the dry ice fragment. Ingesting dry ice is a medical emergency because of the tissue damage from frost bite and the pressure buildup from the release of gas. Dry ice sinks in a glass or bowl, so the risk of ingestion normally is very low. However, do not allow intoxicated people to drink dry ice cocktails or work with dry ice. How To Treat a Dry Ice Burn Treat a dry ice burn the same way as you would treat frostbite or a burn from heat. A red area will heal quickly (day or two). You can apply burn ointment and a bandage, but only if the area needs to be covered (e.g., open blisters). In cases of severe frostbite, seek medical attention (this is extremely uncommon). More Dry Ice Safety Tips Never leave children or pets unattended around dry ice.Be aware of symptoms of carbon dioxide poisoning and make sure there is good air circulation where dry ice is used and stored. Ordinarily, slightly elevated levels of carbon dioxide dont pose a significant health risk. The levels of carbon dioxide are most likely to become too high near the ground.If youre using dry ice to chill food, youll get the best results if you put the dry ice on top of the food. This is because cold sinks.Avoid setting dry ice directly onto counter tops or placing it in empty glass containers. The temperature shock could crack the material.Some airlines will allow you to carry dry ice, but not more than 2 kilograms. Expect the dry ice to sublimate at a slightly faster rate than usual because cabin pressure may be lower than normal pressure. Pack the dry ice with crumpled paper or a blanket to reduce loss.

How to Add and Subtract Fractions 3 Simple Steps

How to Add and Subtract Fractions 3 Simple Steps SAT / ACT Prep Online Guides and Tips Adding and subtracting fractions can look intimidating at first glance. Not only are you working with fractions, which are notoriously confusing, but suddenly you have to contend with converting numerators and denominators, too. But adding and subtracting fractions is a useful skill. Once you know the vocabulary and the basics, you’ll be adding and subtracting fractions with ease. This guide will walk you through everything you need to know for adding and subtracting fractions, including some example problems to test your skills. Key Vocabulary for Adding and Subtracting Fractions Before we can get into the math for adding and subtracting fractions, you need to know the terminology. We’ll be using these terms throughout, so brush up on them to be sure you always know what part of the fraction we’re referring to. Fraction: A number that is not a whole number; a part of a whole. For our purposes, a fraction will refer to a number written with a numerator and a denominator, such as $1/5$ or $147/4$. Numerator: The top number in a fraction, reflecting the number of parts of a whole, such as the 1 in $1/5$. Denominator: The bottom number in a fraction, representing the total number of parts, such as the 5 in $1/5$. Common Denominator: When two fraction share the same denominator, such as $1/3$ and $2/3$. Least Common Denominator: The smallest denominator two fractions can share. For example, the least common denominator of $1/2$ and $1/5$ is 10, because the smallest number both 2 and 5 go into is 10. Pies make great fractions. How Do You Add and Subtract Fractions? Now that you have the vocabulary, it’s time to put that into action. You can’t simply add or subtract fractions as you would a whole number $1/4 - 1/2$ doesn’t equal $0/2$, for example. Instead, you’ll need to find a common denominator before you add or subtract. There are many ways to find a common denominator, some of which are easier or more efficient than others. One of the easiest ways to find a common denominator, though not necessarily the best, is to simply multiply the two denominators together. For example, a possible least common denominator for $1/2$ and $1/12$ would be 24, which you find by multiplying the 2 denominator by the 12 denominator. You can solve a problem using the common denominator of 24 using the steps below, but if you do, you’ll run into a problem- your fraction will need to be reduced. To eliminate the need to reduce once you’ve added or subtracted, instead try to find the least common denominator. Sometimes that will be the same as multiplying two denominators together, but it often won’t be. However, finding the least common denominator isn’t hard- you’ll just need to be familiar with your multiplication tables. For example, let’s try to find the least common denominator, rather than just a common denominator, for the same fractions we used above: $$1/2\: \and \: 1/12$$. To do this, list out a few multiples of each denominator Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 Multiples of 12: 12, 24, 36, 48, 60 Then, look at both lists of multiples and find the lowest number both share. In this case, both 2 and 12 share the multiple 12. If we kept going, we would end up with other multiples they share, such as 24, but 12 is the smallest, meaning it’s the least common multiple. You can do this with any pair of numbers, though larger numbers may present more of a challenge. For adding or subtracting, you can always return to simply multiplying one denominator by the other if you’re having trouble finding the least common denominator, but do keep in mind that you will likely have to reduce. Fractions are the tastiest part of math. How to Add Fractions - Method 1 Now that you know how to find a common denominator, you’re ready to start adding and subtracting. Let’s return to the example of $1/2$ and $1/12$- in this case, let's look at this problem: $$1/2 + 1/12$$ Remember, you can’t add straight across; $1/2 + 1/12$ does not equal $2/14$. #1: Find a Common Denominator We’ll find the least common denominator first, since that’s generally the best way to go about it. We already did the work above, but as a reminder, you’ll want to write out a series of multiples of each number until you find a match. In this case, both 2 and 12 have a multiple of 12. #2: Multiply to Get Each Numerator Over the Same Denominator Always remember that anything you do to the denominator must also be done to the numerator. So let’s take a look at these two fractions we need to get over the denominator 12. $1/12$ is easy- it’s already over the denominator of 12, so we don’t have to do anything to it. $1/2$ will need some work. What number multiplied by 2 will equal 12? To rephrase that question as a problem we can solve, $2*?=12$. Or, even simpler, we can invert the operation to get $12/2=?$, which we can easily solve. So now we know that to go from a denominator of 2 to a denominator of 12, we need to multiply by 6. Again, remember that everything you do to the denominator needs to be done to the numerator as well, so multiply the top and bottom by 6 to get $6/12$. #3: Add the Numerators, but Leave the Denominators Alone Now that you have the same denominators, you can add the numerators straight across. In this case, that will mean that $6/12 + 1/12 = 7/12$. Ask yourself if you can reduce the fraction by diving both the numerator and the denominator by the same number. In this case, you can’t, so your answer is a simple $7/12$. How to Add Fractions- Method 2 Alternatively, we could simply multiply the two denominators together to find a different common denominator. This is a different way to solve the problem, but will end up with the same answer. #1: Multiply the Denominators Together No fancy tricks here- simply multiply 2 by 12 to get 24. That will be your common denominator. #2: Multiply to Get Each Numerator Over the Same Denominator Just as we did when we found the least common denominator, we’ll need to multiply both the top and bottom number of each fraction. In this case, use inverse operations to find out what number you’ll need to multiply. If $1/2$ needs to be $?/24$, you can do $24Ã ·2$ to figure out what number you’ll need to multiply by- 12. Multiply the top and the bottom by 12 to get $12/24$. Repeat the process with $1/12$. If $1/12$ needs to be $?/24$, solve $24Ã ·12$ to get 2. Now multiply the numerator and denominator of $1/12$ by 2 to get $2/24$. #3: Add the Numerators Together Now you can simply add straight across. $$12/24 + 2/24 = 14/24$$. #4: Reduce Here’s where the extra step comes in. $14/24$ is not a fraction in its lowest form, so we’ll need to reduce it. To reduce, we need to divide both the numerator and the denominator by the same number. To do so, we’ll need to find the greatest common factor. Much like finding the least common multiple, this means listing out numbers until we find two factors that both the numerator and the denominator have in common, excluding 1, like so: 14: 2, 7 24: 2, 3, 4, 6, 8, 12 What number do they have in common? 2. That means that 2 is our greatest common factor, and therefore the number we’ll be dividing the numerator and denominator by. $14Ã ·2=7$ and $24Ã ·2=12$ giving us the answer of $7/12$. The answer is the same as when we solved using the least common multiple, and can’t be reduced any further, so that’s our final answer! If you ever find yourself writing out lots of factors without much luck, there are some quick ways to figure out potential factors. If a number is even, it can be divided by 2. If you can add a number's digits a number that is divisible by 3, the number is divisible by 3- such as 96 ($9+6=15$ and $1+5=6$, which is divisible by 3). If the number ends in a 5 or a 0, it is divisible by 5. If you’re not sure when to stop looking for factors, subtract the smaller number from the larger one. That number will be the largest possible common factor, but not the greatest common factor itself.For example, let’s take 50 and 32. Sure, we could just divide both by 2 and keep reducing from there, but if you do $50-32$ you get 18, telling us to stop looking for the greatest common factor once we hit 18.In practice, that looks like this:50: 2, 5, 1032: 2, 4, 8, 16Instead of continuing on, we know to stop when the next factor would be 18 or above, stopping us from spending more time figuring out factors we don’t need. We can see a lot quicker that the greatest common factor is 2 and move on with the problem! $1/1 - 1/? = yum$ How to Subtract Fractions Once you’ve mastered adding fractions, subtracting fractions will be a breeze! The process is exactly the same, though you’ll naturally be subtracting instead of adding. #1: Find a Common Denominator Let’s look at the following example: $$2/3-3/10$$ We need to find the least common multiple for the denominators, which will look like this: 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 10: 10, 20, 30 The first number they have in common is 30, so we’ll be putting both numerators over a denominator of 30. #2: Multiply to Get Both Numerators Over the Same Denominator First, we need to figure out how much we’ll need to multiply both the numerator and denominator of each fraction by to get a denominator of 30. For $2/3$, what number times 3 equals 30? In equation form: $$30Ã ·3=?$$ Our answer is 10, so we’ll multiply both the numerator and denominator by 10 to get $20/30$. Next, we’ll repeat the process for the second fraction. What number do we need to multiply by 10 to get 30? Well, $30Ã ·10=3$, so we’ll multiply the top and bottom by 3 to get $9/30$. This makes our problem $20/30-9/30$, which means we’re ready to continue! #3: Subtract the Numerators Just as we did with addition, we’ll subtract one numerator from the other but leave the denominators alone. $$20/30-9/30=/30$$. Since we found the least common multiple, we already know that the problem can’t be reduced any further. However, let’s say that we just multiplied 3 by 10 to get the denominator of 30, so we need to check if we can reduce. Let’s use that little trick we learned to find the greatest possible common factor. Whatever factors and 30 share, they can’t be greater than $30-$, or 19. : 30: 2, 3, 5, 6, 10, 15 Since they don’t share any common factors, the answer cannot be reduced any further. $1/10$pizza is still $10/10$ tasty. Adding and Subtracting FractionsExamples Let’s go over a few more sample problems! $$8/15-4/9$$ #1: Find a common denominator 15: 15, 30, 45, 60 9: 9, 18, 27, 26, 45 #2: Multiply to get both numerators over the same denominator $$45/15=\bo3$$ $$8Ã ·3=24$$ $$15*3=45$$ $$24/45$$ $$45Ã ·9=\bo5$$ $$4*5=20$$ $$9*5=45$$ $$20/45$$ #3: Subtract the numerators $$24/45-20/45=\bo4/\bo45$$ $$6/+3/4$$ #1: Find a common denominator : , 22, 33, 44 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44 #2: Multiply to get both numerators over the same denominator $$44Ã ·=\bo4$$ $$6*4=24$$ $$*4=44$$ $$24/44$$ $$44Ã ·4=\bo$$ $$3*=33$$ $$4*=44$$ $$33/44$$ #3: Add the numerators $$24/44+33/44=\bo57/\bo44$$ or $$\bo1 \bo13/\bo44$$ $$4/7-/21$$ #1: Find a common denominator 7: 7, 14, 21 21: 21, 42, 63 #2: Multiply to get both numerators over the same denominator $$21Ã ·7=\bo3$$ $$3*4=12$$ $$3*7=21$$ $$12/21$$ $/2$ is already over 21, so we don’t have to do anything. #3: Subtract the numerators $$12/21-/21=\bo1/21$$ $$8/9+7/13$$ #1: Find a common denominator 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 7 13: 13, 26, 39, 52, 65, 78, 91, 104, 7 #2: Multiply to get both numerators over the same denominator $$7Ã ·9=\bo13$$ $$8*13=104$$ $$9*13=7$$ $$104/7$$ $$7Ã ·13=\bo9$$ $$7*9=63$$ $$13*9=7$$ $$63/7$$ #3: Add the numerators $$104/7+63/7=\bo167/\bo7$$ What’s Next? Adding and subtracting fractions can get even more simple if you start converting decimals to fractions! If you're unsure what high school math classes you should be taking, this guide will help youfigure out your schedule to be sure you're ready for college! Now that you're an expert in adding and subtracting fractions, challenge yourself by learning how to convert Celsius to Fahrenheit!