Solve 100:5² + 3²: Order of Operations Challenge

100:52+32= 100:5^2+3^2=

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00:00 Solve the following problem
00:03 Calculate the exponents
00:06 Always solve multiplication and division before addition and subtraction
00:09 This is the solution to the question

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1

Understand the problem

100:52+32= 100:5^2+3^2=

2

Step-by-step solution

To solve the expression 100:52+32= 100:5^2+3^2= , we 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 have division, exponentiation, and addition to work with.

Step 1: Calculate the exponentiation first.

  • Calculate 52 5^2 : 5×5=25 5 \times 5 = 25 .
  • Calculate 32 3^2 : 3×3=9 3 \times 3 = 9 .

So, the expression becomes 100:25+9 100:25+9 .

Step 2: Perform the division next, which comes before addition.

  • Divide 100 100 by 25 25 : 100÷25=4 100 \div 25 = 4 .

Now the expression simplifies to 4+9 4 + 9 .

Step 3: Perform the addition.

  • Add 4 4 and 9 9 : 4+9=13 4 + 9 = 13 .

Therefore, the final result of the expression 100:52+32 100:5^2+3^2 is 13 13 .

3

Final Answer

13

Practice Quiz

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What is the result of the following equation?

\( 36-4\div2 \)

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