Solve: 90 + 18 ÷ 6 × 5 Using Order of Operations

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

Mathematics has a specific order called PEMDAS that ensures everyone gets the same answer. Without it, $ 90 + 18 \div 6 \times 5 $ could have multiple different results!

Q: Do I multiply or divide first when both are in the problem?

When you have both multiplication and division, work from left to right. In this problem, division comes first: $ 18 \div 6 $, then multiplication: $ 3 \times 5 $.

Q: What if I got 95 as my answer?

You likely calculated $ 90 + 18 = 108 $ first, then $ 108 \div 6 = 18 $, then $ 18 \times 5 = 90 $. Remember: division and multiplication come before addition!

Q: How can I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Try the phrase "Please Excuse My Dear Aunt Sally" to remember!

Order of Operations with Mixed Operations

Determine the result of this operation:

$90 + 18 \div 6 \times 5$

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Understand the problem

Determine the result of this operation:

$90 + 18 \div 6 \times 5$

Step-by-step solution

First, perform the division: $18 \div 6 = 3$ .

Next, perform the multiplication: $3 \times 5 = 15$

Finally, perform the addition: $90 + 15 = 105$

Final Answer

105

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Division and multiplication are performed from left to right
Technique: First $18 \div 6 = 3$ , then $3 \times 5 = 15$
Check: Substitute back: $90 + 15 = 105$ matches our answer ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following PEMDAS
Don't calculate 90 + 18 = 108 first = wrong order of operations! This ignores that division and multiplication must be done before addition. Always complete division and multiplication operations before doing any addition.

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 like reading?

Mathematics has a specific order called PEMDAS that ensures everyone gets the same answer. Without it, $90 + 18 \div 6 \times 5$ could have multiple different results!

Do I multiply or divide first when both are in the problem?

When you have both multiplication and division, work from left to right. In this problem, division comes first: $18 \div 6$ , then multiplication: $3 \times 5$ .

What if I got 95 as my answer?

You likely calculated $90 + 18 = 108$ first, then $108 \div 6 = 18$ , then $18 \times 5 = 90$ . Remember: division and multiplication come before addition!

How can I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Try the phrase "Please Excuse My Dear Aunt Sally" to remember!

What happens if I forget to follow the order?

You'll get the wrong answer! For example, doing addition first gives 115 instead of 105. Always double-check that you followed PEMDAS correctly.

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