Solve the Multiplication Expression: 8×(5×1) Using Order of Operations

Q: Why do I need to solve the parentheses first when I get the same answer anyway?

Great observation! In this case $ 8\times(5\times1) $ and $ 8\times5\times1 $ both equal 40, but this won't always happen. Following PEMDAS builds correct habits for more complex problems where order really matters!

Q: What if there are multiple sets of parentheses?

Work from the innermost parentheses outward. For example, in $ 2\times(3\times(4+1)) $, solve (4+1) first, then (3×5), finally 2×15.

Q: Does multiplication always come before addition?

Yes! In PEMDAS, Multiplication and Division come before Addition and Subtraction. So $ 2+3\times4 = 2+12 = 14 $, not 20.

Q: What's the easiest way to remember PEMDAS?

Try "Please Excuse My Dear Aunt Sally" for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Just remember MD and AS work left-to-right!

Order of Operations with Nested Multiplication

$8\times(5\times1)=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's solve this problem together!

00:07 First, solve everything inside the parentheses. Then, move on to the next steps.

00:13 And here is how we find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$8\times(5\times1)=$

Step-by-step solution

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

$5\times1=5$

Now we multiply:

$8\times5=40$

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Always solve expressions inside parentheses first
Technique: Calculate $5\times1=5$ , then $8\times5=40$
Check: Work left-to-right without parentheses: $8\times5\times1=40$ ✓

Common Mistakes

Avoid these frequent errors

Multiplying all numbers left-to-right without following parentheses
Don't calculate 8×5×1 = 40 by ignoring parentheses! This accidentally gives the right answer but teaches wrong method. Always solve (5×1) first, then multiply by 8 to follow proper order of operations.

Practice Quiz

Test your knowledge with interactive questions

$$ 100+5-100+5 $$

FAQ

Everything you need to know about this question

Why do I need to solve the parentheses first when I get the same answer anyway?

Great observation! In this case $8\times(5\times1)$ and $8\times5\times1$ both equal 40, but this won't always happen. Following PEMDAS builds correct habits for more complex problems where order really matters!

What if there are multiple sets of parentheses?

Work from the innermost parentheses outward. For example, in $2\times(3\times(4+1))$ , solve (4+1) first, then (3×5), finally 2×15.

Does multiplication always come before addition?

Yes! In PEMDAS, Multiplication and Division come before Addition and Subtraction. So $2+3\times4 = 2+12 = 14$ , not 20.

What's the easiest way to remember PEMDAS?

Try "Please Excuse My Dear Aunt Sally" for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Just remember MD and AS work left-to-right!

Can I use a calculator for order of operations?

Yes, but make sure your calculator follows algebraic order! Some basic calculators work left-to-right only. When in doubt, use parentheses to make your intended order crystal clear.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Order of operations for beginners questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

Solve the Multiplication Expression: 8×(5×1) Using Order of Operations

Order of Operations with Nested Multiplication

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I need to solve the parentheses first when I get the same answer anyway?

What if there are multiple sets of parentheses?

Does multiplication always come before addition?

What's the easiest way to remember PEMDAS?

Can I use a calculator for order of operations?

🌟 Unlock Your Math Potential

More Questions

All Operations in the Order of Operations

Solve: (3/2) × 1 × (1/3) - Step-by-Step Fraction Multiplication

Solve 18 - 1 × 0.1: Order of Operations with Decimals

Solve 1×(1/2)÷2: Mixed Operations with Fractions

Solve Decimal Expression: 0.5 - 0.1 ÷ 0.2 Using Order of Operations

Special Cases (0 and 1, Inverse, Fraction Line)

Solve the Expression: 6 + 8.4 × 1 Using Order of Operations

Solve Mixed Operation: Calculate 7×1 + 1/2 Step-by-Step

Solve '20-0÷4×3+1': Order of Operations Practice

Solve 20·4:5·(3+0·7-1): Order of Operations Practice

Parentheses in advanced Order of Operations

Solve: 0.6 × (1+2) - Order of Operations with Decimals

Solve 2×(√36 + 9): Order of Operations with Square Root

Solve 17-(3×5-4×2+2×3): Order of Operations Practice

Solve: 1/4 × (1/3 + 1/2) - Mixed Fraction Operations

Parentheses in simple Order of Operations

Solve: 1/3 + (2-1) Using Order of Operations

Solve the Expression: 7 - 1 + ½ Step-by-Step

Solve (90-15-3)÷8: Step-by-Step Expression Evaluation

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