Solve 5² - 4² + 2²: Perfect Square Operations Practice

Solve the following exercise and circle the correct answer:

5242+22= 5^2-4^2+2^2=

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Step-by-step video solution

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00:00 Solve the following problem
00:05 Let's break down the exponents
00:27 Always solve multiplication and division before addition and subtraction
00:47 Continue to solve the expression from left to right, one operation at a time
00:54 This is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following exercise and circle the correct answer:

5242+22= 5^2-4^2+2^2=

2

Step-by-step solution

To solve the expression 5242+22 5^2 - 4^2 + 2^2 , we'll need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Here, we only have exponents and basic arithmetic.


  • First, calculate the powers:
    52=25 5^2 = 25 ,
    42=16 4^2 = 16 ,
    22=4 2^2 = 4 .

  • Now substitute the calculated values back into the expression:
    2516+4 25 - 16 + 4 .

  • Perform the subtraction and addition from left to right:
    2516=9 25 - 16 = 9 .

  • Then add 4 to 9:
    9+4=13 9 + 4 = 13 .

The final answer is 13 13 .

3

Final Answer

13

Practice Quiz

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\( 100+5-100+5 \)

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