Solve 8×(7×1): Order of Operations with Simple Multiplication

Order of Operations with Parentheses First

8×(7×1)= 8\times(7\times1)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's begin by solving the problem.
00:09 Remember, always start with the parentheses.
00:13 Next, let's follow the correct order of operations.
00:17 And there you have it, that's how you find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

8×(7×1)= 8\times(7\times1)=

2

Step-by-step solution

According to the order of operations, we must first solve the expression inside of the parentheses:

7×1=7 7\times1=7

Resulting in the following expression:

8×7=56 8\times7=56

3

Final Answer

56

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve expressions inside parentheses first before other operations
  • Technique: Calculate 7×1=7 7\times1=7 first, then 8×7=56 8\times7=56
  • Check: Work left to right after parentheses: parentheses gave 7, then 8×7 = 56 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and working left to right
    Don't calculate 8×7×1 = 56×1 = 56 by accident! This seems right but skips the parentheses step. Always solve what's inside parentheses first, even if it gives the same final answer.

Practice Quiz

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\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why do I need to solve the parentheses first if 7×1 is just 7?

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Great question! Even when parentheses contain simple calculations like 7×1=7 7\times1=7 , you must always follow the order of operations. This builds the correct habit for harder problems where parentheses really matter.

What if there are multiple sets of parentheses?

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Solve each set of parentheses from left to right, or work from the innermost parentheses outward if they're nested inside each other.

Can I just multiply all three numbers together since multiplication is commutative?

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While 8×7×1=56 8\times7\times1=56 gives the same answer, you must respect the parentheses in the original expression. The parentheses tell you the intended order of operations.

How do I remember the order of operations?

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Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Parentheses always come first!

What if I get a different answer?

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Double-check that you solved 7×1=7 7\times1=7 first, then 8×7=56 8\times7=56 . If you're still getting a different answer, show each step to find where the mistake happened.

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