Solve the Expression: 34 × 8 - 13 - 54

Q: Why can't I just work from left to right?

Mathematics has a specific order of operations (PEMDAS) that everyone follows. Multiplication comes before subtraction, so you must calculate 34 × 8 first, regardless of its position in the expression.

Q: After I do 34 × 8 = 272, how do I handle the two subtractions?

Once you have 272 - 13 - 54, work from left to right: first calculate 272 - 13 = 259, then subtract 54 to get 205.

Q: How can I double-check my multiplication?

Break down 34 × 8: 30 × 8 = 2404 × 8 = 32240 + 32 = 272 ✓ This confirms your multiplication is correct!

Q: What if I got a different answer?

Go back and check each step carefully: Step 1: 34 × 8 = 272, Step 2: 272 - 13 = 259, Step 3: 259 - 54 = 205. Make sure you followed PEMDAS!

Order of Operations with Mixed Arithmetic

$34 \times 8 - 13 - 54 =$

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Understand the problem

$34 \times 8 - 13 - 54 =$

Step-by-step solution

First, perform the multiplication: $34 \times 8 = 272$

Next, perform the subtraction: $272 - 13 = 259$

Finally, subtract 54: $259 - 54 = 205$

Final Answer

$205$

Key Points to Remember

Essential concepts to master this topic

Rule: Follow PEMDAS order - multiplication before subtraction operations
Technique: Calculate $34 \times 8 = 272$ first, then subtract sequentially
Check: Verify final calculation: $272 - 13 - 54 = 205$ ✓

Common Mistakes

Avoid these frequent errors

Performing operations from left to right without following PEMDAS
Don't calculate 34 × 8 - 13 - 54 as (34 × 8 - 13) - 54 = wrong order! This ignores order of operations and gives incorrect results. Always complete all multiplication first, then handle subtraction from left to right.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

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

Mathematics has a specific order of operations (PEMDAS) that everyone follows. Multiplication comes before subtraction, so you must calculate 34 × 8 first, regardless of its position in the expression.

What does PEMDAS stand for again?

Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Remember: multiplication and division have equal priority!

After I do 34 × 8 = 272, how do I handle the two subtractions?

Once you have 272 - 13 - 54, work from left to right: first calculate 272 - 13 = 259, then subtract 54 to get 205.

How can I double-check my multiplication?

Break down 34 × 8:

30 × 8 = 240
4 × 8 = 32
240 + 32 = 272 ✓

This confirms your multiplication is correct!

What if I got a different answer?

Go back and check each step carefully: Step 1: 34 × 8 = 272, Step 2: 272 - 13 = 259, Step 3: 259 - 54 = 205. Make sure you followed PEMDAS!

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