Solve the Expression: 8 × 2 - 5 Step by Step

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

Mathematical expressions have a specific order of operations (PEMDAS) that must be followed. Working left to right ignores this rule and gives incorrect results!

Q: What if there were parentheses around part of the expression?

Parentheses always come first in PEMDAS! Calculate everything inside parentheses before applying other operations.

Q: How can I remember to do multiplication first?

Remember: Multiplication and Division are stronger operations than Addition and Subtraction. Think of × and ÷ as having higher priority!

Q: Is there a way to double-check my work?

Yes! Work through the expression step-by-step: $ 8 \times 2 - 5 $ → $ 16 - 5 $ → $ 11 $. Each step should follow PEMDAS rules.

Order of Operations with Mixed Operations

$8 \times 2 - 5 =$

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Understand the problem

$8 \times 2 - 5 =$

Step-by-step solution

To solve the expression $8 \times 2 - 5$ , use the order of operations, which in this case is multiplication followed by subtraction.

$8 \times 2$ equals $16$ .
Subtract $5$ from $16$ : $16 - 5 = 11$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication comes before subtraction in order of operations
Technique: First calculate $8 \times 2 = 16$ , then subtract 5
Check: Verify by working left to right: 16 - 5 = 11 ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following PEMDAS
Don't calculate 8 × 2 - 5 as (8 × 2) - 5 = 16 - 5 but then subtract first = wrong answer of 35! This ignores the order of operations. Always do multiplication before subtraction using PEMDAS.

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?

Mathematical expressions have a specific order of operations (PEMDAS) that must be followed. Working left to right ignores this rule and gives incorrect results!

What does PEMDAS stand for?

Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Multiplication comes before subtraction!

What if there were parentheses around part of the expression?

Parentheses always come first in PEMDAS! Calculate everything inside parentheses before applying other operations.

How can I remember to do multiplication first?

Remember: Multiplication and Division are stronger operations than Addition and Subtraction. Think of × and ÷ as having higher priority!

Is there a way to double-check my work?

Yes! Work through the expression step-by-step: $8 \times 2 - 5$ → $16 - 5$ → $11$ . Each step should follow PEMDAS rules.

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