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Common Core math will help students in grades K-8 learn how to do calculations and make meaningful inferences about patterns, quantities, and transformations. This blog post discusses the concept of "summation notation" in algebra 2 because it is similar to calculations written in order sums. It also gives some examples of how this can be used with other operations such as addition or multiplication. This blog post ends with a link to resources that will aid students in understandings this concept better and ultimately succeed on their next Common Core Algebra 2 homework assignment. SUMMATION NOTATION is a shorthand way of writing a sum. They are also called summation signs because they tell us that we can "sum" a series of numbers. The most common notation for sums is the Greek letter sigma, which has the same shape as a capital S. Sigma notation works like this: For example, if we add −5 and 2 together, we get: This can be written in Sigma notation like this: Another way to write this would be 5 sigma 2. When you add or multiply more than one number together it is best to use Sigma notation rather than writing out the whole sum. Sigma notation is useful because it helps us to think about how to add or multiply numbers without having to write down all of the steps. Look at the expression 5 sigma 2 for example. Can you tell what it means by looking at this? Sigma notation is very useful, but it can be confusing if you are not used to seeing them. Some students start multiplying anything that ends with an S by 5, then they start adding that on top of whatever else they are trying to calculate! It helps if you know how to use Sigma notation, but also if you know why it works and when you should use it. Using Sigma notation is best when there are additions or multiplications in your calculations. It isn't very practical to write your full calculations down in the exam, so you should use Sigma notation whenever you can. A SUM is when you add up a set of numbers. PEMDAS helps us to work out the order in which to do our additions and multiplications. When we are asked to add or multiply together two or more things, it is called an EXPRESSION . Remember that when PEMDAS says "Exponents before Multiplication", it means that we do multiplication before adding exponents together. For example, 82 × 12 means that we are multiplying 2 by 12 first. For example, 3 + 4 × 1 + 2 × (3 ÷ 2) = 82 ÷ 2. This means that we do the following: 1. multiply 3 by 2 and add 1 to get 5, 2. multiply 1 by 3 and add to get 6, 3. add the two numbers together to get 8 To solve a problem with a summation notation a MATRIX must be used to break up the sum into smaller sums that can then be solved individually. A MATRIX is an array or matrix of values that have been assigned a common variable name such as "x". In this section I will look at how we can create a MATRIX using PEMDAS for addition and multiplication. cfa1e77820
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