Solve: 16 + 48 ÷ 8 × 3 Using Order of Operations

Q: Why don't I just work from left to right like I read?

Mathematics has a special order of operations (PEMDAS) that's like traffic rules - everyone must follow the same rules to get the same answer! Division and multiplication always come before addition and subtraction.

Q: What if I get 24 instead of 34?

You likely calculated $ 16 + 48 = 64 $ first, then $ 64 \div 8 \times 3 = 24 $. Remember: ignore addition until after you finish all multiplication and division!

Q: Do I multiply or divide first when they're together?

When multiplication and division appear together, work left to right. In $ 48 \div 8 \times 3 $, division comes first on the left, so do $ 48 \div 8 = 6 $, then $ 6 \times 3 = 18 $.

Q: How can I remember PEMDAS?

Use the memory trick: "Please Excuse My Dear Aunt Sally"ParenthesesExponentsMultiplication and Division (left to right)Addition and Subtraction (left to right)

Q: What's the most important thing to remember?

Always do multiplication and division BEFORE addition and subtraction, no matter where they appear in the problem. This is the key rule that prevents most mistakes!

Order of Operations with Mixed Division Multiplication

What is the result of the following equation?

$16 + 48 \div 8 \times 3$

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Understand the problem

What is the result of the following equation?

$16 + 48 \div 8 \times 3$

Step-by-step solution

First, perform the division: $48 \div 8 = 6$ .

Next, perform the multiplication: $6 \times 3 = 18$

Finally, perform the addition: $16 + 18 = 34$

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Division and multiplication happen before addition, left to right
Technique: Calculate $48 \div 8 = 6$ , then $6 \times 3 = 18$
Check: Final step should be $16 + 18 = 34$ ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following order of operations
Don't calculate 16 + 48 first = 64 ÷ 8 × 3 = 24! This ignores the order of operations and gives the wrong answer. Always do division and multiplication before addition, working left to right for operations of equal priority.

Practice Quiz

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$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

Why don't I just work from left to right like I read?

Mathematics has a special order of operations (PEMDAS) that's like traffic rules - everyone must follow the same rules to get the same answer! Division and multiplication always come before addition and subtraction.

What if I get 24 instead of 34?

You likely calculated $16 + 48 = 64$ first, then $64 \div 8 \times 3 = 24$ . Remember: ignore addition until after you finish all multiplication and division!

Do I multiply or divide first when they're together?

When multiplication and division appear together, work left to right. In $48 \div 8 \times 3$ , division comes first on the left, so do $48 \div 8 = 6$ , then $6 \times 3 = 18$ .

How can I remember PEMDAS?

Use the memory trick: "Please Excuse My Dear Aunt Sally"

Parentheses
Exponents
Multiplication and Division (left to right)
Addition and Subtraction (left to right)

What's the most important thing to remember?

Always do multiplication and division BEFORE addition and subtraction, no matter where they appear in the problem. This is the key rule that prevents most mistakes!

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