Solve the Expression: (25+25)÷10 Using Basic Arithmetic

Order of Operations with Fraction Division

25+2510= \frac{25+25}{10}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this expression together.
00:08 First, calculate the top part, then divide.
00:19 Break fifty into five times ten.
00:24 Simplify when possible.
00:27 Here's how we solve it!

Step-by-step written solution

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1

Understand the problem

25+2510= \frac{25+25}{10}=

2

Step-by-step solution

To solve the equation 25+2510= \frac{25+25}{10}= , 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)). In this problem, we will tackle the following steps:

  • Parentheses: Solve any operations inside the parentheses first. Here, we have a simple addition 25+2525 + 25.
  • So, 25+25=5025 + 25 = 50.
  • Next, we address the division, which comes after addition:
  • Compute the division of the result by 10: 5010\frac{50}{10}.
  • The result is 55.

Thus, the value of 25+2510 \frac{25+25}{10} is 55.

3

Final Answer

5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Follow PEMDAS - solve parentheses first, then division
  • Technique: Calculate 25+25=50 25 + 25 = 50 , then divide by 10
  • Check: Verify 5010=5 \frac{50}{10} = 5 by multiplying 5 × 10 = 50 ✓

Common Mistakes

Avoid these frequent errors
  • Dividing before adding inside parentheses
    Don't divide 25 ÷ 10 = 2.5 first and then add = wrong answer 27.5! This ignores the parentheses which group the addition together. Always complete operations inside parentheses before dividing.

Practice Quiz

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\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why can't I just divide 25 by 10 first?

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The parentheses (or numerator) tell you to add first! In 25+2510 \frac{25+25}{10} , the addition must happen before division because of order of operations.

What does PEMDAS mean again?

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Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Always follow this order!

Is this the same as (25+25)÷10?

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Yes! 25+2510 \frac{25+25}{10} and (25+25)÷10 are exactly the same. The fraction bar acts like parentheses around the numerator.

How do I check if 5 is really the right answer?

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Substitute back: Does 5×10=50 5 × 10 = 50 ? And does 25+25=50 25 + 25 = 50 ? If both are true, then 5 is correct!

What if I got 2.5 as my answer?

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You probably divided 25 ÷ 10 = 2.5 first, then added 25. Remember: the numerator (25+25) must be calculated completely before dividing by the denominator.

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