Solve 19×(20-4×5): Order of Operations Practice

Order of Operations with Zero Result

19×(204×5)= 19\times(20-4\times5)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's solve this math problem.
00:12 First, focus on the numbers inside the parentheses.
00:16 Remember, multiplication and division come before addition and subtraction.
00:21 Now, calculate the values inside the parentheses.
00:25 Any number times zero is always zero.
00:29 And that gives us our solution! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

19×(204×5)= 19\times(20-4\times5)=

2

Step-by-step solution

First, we solve the exercise in the parentheses

(204×5)= (20-4\times5)=

According to the order of operations, we first multiply and then subtract:

2020=0 20-20=0

Now we obtain the exercise:

19×0=0 19\times0=0

3

Final Answer

0

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve parentheses first, then multiply/divide left to right
  • Inside Parentheses: Multiply before subtract: 4×5=20 4\times5=20 , then 2020=0 20-20=0
  • Final Check: Any number multiplied by zero equals zero: 19×0=0 19\times0=0

Common Mistakes

Avoid these frequent errors
  • Solving left to right without following order of operations
    Don't calculate 19×20 first or 20-4 first = wrong answer like 361 or 1520! This ignores the multiplication inside parentheses that must happen before subtraction. Always follow PEMDAS: solve what's inside parentheses completely first, doing multiplication before subtraction.

Practice Quiz

Test your knowledge with interactive questions

Solve the following problem:

\( 187\times(8-5)= \)

FAQ

Everything you need to know about this question

Why can't I just work from left to right like reading?

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Mathematics has a specific order that prevents confusion! Without PEMDAS, the expression 19×(204×5) 19\times(20-4\times5) could have multiple meanings. Following the rules ensures everyone gets the same answer.

What if I get zero as my final answer - is that wrong?

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Zero is a perfectly valid answer! Don't assume it's wrong just because it seems too simple. In this problem, the parentheses simplify to zero, making the entire expression equal zero.

Do I always need to solve everything inside parentheses first?

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Yes, always! Parentheses are the highest priority in PEMDAS. Even if there are multiple operations inside, complete all operations within parentheses before moving to what's outside.

How do I remember the order of operations inside parentheses?

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Use PEMDAS within the parentheses too! So in (204×5) (20-4\times5) , multiply 4×5=20 4\times5=20 first, then subtract: 2020=0 20-20=0 .

What's the most common mistake students make here?

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Students often calculate 19×20=380 19\times20=380 first, then try to subtract. This completely ignores the parentheses and gives wrong answers. Always respect the parentheses!

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