Solve 4² ÷ 2 + 5²: Order of Operations Practice

Solve the following exercise:

42:2+52= 4^2:2+5^2=

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Step-by-step video solution

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00:00 Solve the following expression
00:05 Break down the exponents
00:17 Always solve multiplication and division before addition and subtraction
00:38 This is the solution

Step-by-step written solution

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1

Understand the problem

Solve the following exercise:

42:2+52= 4^2:2+5^2=

2

Step-by-step solution

To solve the expression 42:2+52 4^2:2+5^2 , we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This guide will help us apply the correct sequence to solve the problem.


  • Step 1: Exponents
    First, we solve the exponents in the expression. In this case, we have 42 4^2 and 52 5^2 .
    Calculate each:
    42=4×4=16 4^2 = 4 \times 4 = 16
    52=5×5=25 5^2 = 5 \times 5 = 25

  • Step 2: Division
    Next, we perform the division operation. In the expression 16:2 16 : 2 , divide 16 by 2:
    16:2=8 16 : 2 = 8

  • Step 3: Addition
    Finally, we add the results from the previous steps together:
    8+25=33 8 + 25 = 33


Thus, the value of the expression 42:2+52 4^2:2+5^2 is 33 33 .

3

Final Answer

33

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\( 100+5-100+5 \)

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