Type in your sum to see how to solve it step by step. Examples: 2+3*4 or 3/4*3 Show
DescriptionJust type in sums like these (see Order of Operations for more detail): Examples:
You will see what the calculator thinks you entered (which may be a little different to what you typed), and then a step-by-step solution. Note: there can be more than one way to find a solution. The calculator is still under development and may get things wrong, so be careful! Tree ViewPress the "tree" button to see your sum as a tree. You would do the calculations from the top down ... sometimes you have a choice which calculation to do first. All FunctionsOperators
Functions
Constants
Learning Outcomes
Simplify Expressions Using the Order of Operations We’ve introduced most of the symbols and notation used in algebra, but now we need to clarify the order of operations. Otherwise, expressions may have
different meanings, and they may result in different values. 4+3⋅74+3\cdot 7 Some students say it simplifies to 49.Some students say it simplifies to 25. 4+3⋅7 Since 4+3 gives 7.7⋅7 And 7⋅7 is 49.494+3⋅7Since 3⋅7 is 21.4 +21And 21+4 makes 25.25 \begin{array}{cccc}\qquad \text{Some students say it simplifies to 49.}\qquad & & & \qquad \text{Some students say it simplifies to 25.}\qquad \\ \begin{array}{ccc}& & \qquad 4+3\cdot 7\qquad \\ \text{Since }4+3\text{ gives 7.}\qquad & & \qquad 7\cdot 7\qquad \\ \text{And }7\cdot 7\text{ is 49.}\qquad & & \qquad 49\qquad \end{array}& & & \begin{array}{ccc}& & \qquad 4+3\cdot 7\qquad \\ \text{Since }3\cdot 7\text{ is 21.}\qquad & & \qquad 4+21\qquad \\ \text{And }21+4\text{ makes 25.}\qquad & & \qquad 25\qquad \end{array}\qquad \end{array} Imagine the confusion that could result if every problem had several different correct answers. The same expression should give the same result. So mathematicians established some guidelines called the order of operations, which outlines the order in which parts of an expression must be simplified. Order of Operations When simplifying mathematical expressions perform the operations in the following order:
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction
Students often ask, "How will I remember the order?" Here is a way to help you remember: Take the first letter of each key word and substitute the silly phrase. Please Excuse My Dear Aunt Sally.
It’s good that ‘My Dear’ goes together, as this reminds us that multiplication and division have equal priority. We do not always do multiplication before division or always do division before multiplication. We do them in order from left to right. exampleSimplify the expressions:
Solution:
try itexampleSimplify:
Show Solution try itexampleSimplify: 18÷6+4(5−2)18\div 6+4\left(5 - 2\right) . Show Solution try itIn the video below we show another example of how to use the order of operations to simplify a mathematical expression. When there are multiple grouping symbols, we simplify the innermost parentheses first and work outward. exampleSimplify: 5+23+3[6−3(4−2)]\text{Simplify: }5+{2}^{3}+3\left[6 - 3\left(4 - 2\right)\right] . Show Solution try itIn the video below we show another example of how to use the order of operations to simplify an expression that contains exponents and grouping symbols. exampleSimplify: 23+34÷3−52{2}^{3}+{3}^{4}\div 3-{5}^{2} . Show Solution try itLicenses and AttributionsCC licensed content, Shared previously
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What are the steps for simplifying an expression?Here are the basic steps to follow to simplify an algebraic expression:. remove parentheses by multiplying factors.. use exponent rules to remove parentheses in terms with exponents.. combine like terms by adding coefficients.. combine the constants.. How do you use the order of operations to simplify expressions with exponents?The order of operations can be remembered by the acronym PEMDAS, which stands for: parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right. First, simplify what is in parentheses. Then, do any exponents. Next, multiply and divide from left to right.
What are the 5 steps of the order of operations?The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Why is it important to use the order of operations to simplify an expression?The order of operations is important because it guarantees that people can all read and solve a problem in the same way.
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Use the order of operations to simplify the expression
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