Solve 25(5+0): Order of Operations Practice Problem

Order of Operations with Basic Multiplication

25(5+0)= 25(5+0)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Always solve parentheses first
00:08 Use long multiplication
00:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

25(5+0)= 25(5+0)=

2

Step-by-step solution

According to the order of operations, we will first solve the expression in parentheses:

5+0=5 5+0=5

Now we will get the expression:

25×5= 25\times5=

Let's solve the expression vertically:

25×5 25\\\times5

We will be careful to solve the expression in the correct order, ones with ones and then ones with tens

And we will get:

125 125

3

Final Answer

125 125

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve parentheses first, then multiply from left to right
  • Technique: First solve 5+0=5, then calculate 25×5=125 25 \times 5 = 125
  • Check: Verify by substitution: 25(5)=25×5=125 25(5) = 25 \times 5 = 125

Common Mistakes

Avoid these frequent errors
  • Multiplying before solving parentheses
    Don't multiply 25 × 5 first and then add 0 = wrong answer of 125! This violates PEMDAS order and gives incorrect results. Always solve what's inside parentheses first, then multiply the result.

Practice Quiz

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\( 140-70= \)

FAQ

Everything you need to know about this question

Why can't I just multiply 25 × 5 first since 0 doesn't change anything?

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Even though adding 0 doesn't change the value, you must still follow PEMDAS order! The parentheses tell you to solve 5+0 first, then multiply. This builds good habits for harder problems.

What does PEMDAS stand for again?

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

How do I multiply 25 × 5 without a calculator?

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Think of it as 25 × 5 = (20 + 5) × 5. So:

  • 20 × 5 = 100
  • 5 × 5 = 25
  • 100 + 25 = 125

What if there were more operations inside the parentheses?

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You'd still solve everything inside the parentheses first using PEMDAS within the parentheses, then multiply by 25. Parentheses always come first!

Is there a shortcut for problems like this?

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The best 'shortcut' is to always follow PEMDAS. It prevents mistakes and works for every problem. Consistency is more important than speed!

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