<h2>{<u>How to Solve</u>}: [PEMDAS]</h2>
To solve these types of problems you need to know the basic rule of pemdas.
- (P)arentheses
- (E)xponents
- (M)ultiplication
- (D)ivision
- (A)ddition
- (S)ubtraction
Multiplication/division and addition/subtraction are in no particular order; they are solved from left to right. Knowing the rule of pemdas, you can then solve these types of problems.
I have attached a picture to hopefully help you see how these problems can be solved. I solved the problems using pemdas step-by-step. Feel free to ask any questions you have in the comments! :)
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<h2>{<u>Explanation</u>}:</h2>
(29 - 5) ÷ 2 - 6²
1. Pemdas tells you to solve inside the (p)arentheses first, so solve (29 - 5) then rewrite the expression.
(24) ÷ 2 - 6²
2. After solving inside all of the parentheses, pemdas then tells you to solve for the (e)xponents. Solve where 6 is being carried to the power of 2 and then rewrite the expression.
(24) ÷ 2 - (36)
3. The next step in pemdas is to divide before subtracting, since those are the only two operations left. Divide 24 by 2 and then rewrite your expression.
(12) - (36)
4. The last and only step is to subtract 36 from 12. After doing so you will get your final answer.
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(9 - 2)² + (20 ÷ 5)
1. Pemdas tells us to solve inside the parentheses first, so solve inside both of the parentheses and then rewrite the expression.
(7)² + (4)
2. The next step is to solve for the exponents. Solve 7 carried to the power of 2 and then rewrite the expression.
(49) + (4)
3. The last and final step is to add the two terms together, 49 and 4. After doing so you will be left with your final answer.
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(7 × 6 + 8²) + 2
1. Pemdas tells us to solve inside the parentheses first. There are multiple operations being done inside of the parentheses, so the first operation we will complete is exponents because that is what pemdas tells us to do. Solve 8 carried to the power of 2, then rewrite the expression.
(7 × 6 + 64) + 2
2. Now we can multiply 7 and 6 (because multiplication comes before addition) and then rewrite the expression.
(42 + 64) + 2
3. Solve inside the parentheses by adding 42 and 64. Then rewrite the expression.
(106) + 2
4. The fourth and final step is to add the two terms, 106 and 2, together. Then you will be left with your final answer.
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<h3>Hope this helped you! If you have any questions please feel free to ask me down in the comment section below :)</h3>
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<h2>{<u>Answers</u>}:</h2>