Solve the Expression: 121 ÷ 11 + 7 × 4 Using Order of Operations

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

Mathematics has a universal order that everyone follows! Without PEMDAS, the expression $ 121 \div 11 + 7 \times 4 $ could have multiple answers, creating confusion.

Q: Do I really need to do division and multiplication first?

Yes! In this problem, if you add first, you get $ 121 \div 18 \times 4 = 26.89... $ which is completely wrong. Always follow the order: $ 11 + 28 = 39 $.

Q: What if there were parentheses in the expression?

Parentheses come first in PEMDAS! You would solve everything inside parentheses before applying division, multiplication, or addition to the rest of the expression.

Q: How can I remember to check my work?

Try working the problem a second time or use a calculator to verify each step. For $ 121 \div 11 + 7 \times 4 $, confirm: 11 + 28 = 39 ✓

Order of Operations with Mixed Arithmetic

Solve for the value of the expression:

$121 \div 11 + 7 \times 4$

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Understand the problem

Solve for the value of the expression:

$121 \div 11 + 7 \times 4$

Step-by-step solution

First, perform the division: $121 \div 11 = 11$ .

Next, perform the multiplication: $7 \times 4 = 28$

Finally, perform the addition: $11 + 28 = 39$

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Division and multiplication come before addition in order
Left-to-Right: Calculate $121 \div 11 = 11$ and $7 \times 4 = 28$ first
Check: Verify that $11 + 28 = 39$ matches the correct answer ✓

Common Mistakes

Avoid these frequent errors

Adding and multiplying from left to right without following PEMDAS
Don't solve $121 \div 11 + 7 \times 4$ as $(121 \div 11 + 7) \times 4 = 72$ ! This ignores order of operations and gives completely wrong results. Always complete all division and multiplication operations before doing any addition or subtraction.

Practice Quiz

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$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

Why can't I just solve from left to right like reading?

Mathematics has a universal order that everyone follows! Without PEMDAS, the expression $121 \div 11 + 7 \times 4$ could have multiple answers, creating confusion.

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!

Do I really need to do division and multiplication first?

Yes! In this problem, if you add first, you get $121 \div 18 \times 4 = 26.89...$ which is completely wrong. Always follow the order: $11 + 28 = 39$ .

What if there were parentheses in the expression?

Parentheses come first in PEMDAS! You would solve everything inside parentheses before applying division, multiplication, or addition to the rest of the expression.

How can I remember to check my work?

Try working the problem a second time or use a calculator to verify each step. For $121 \div 11 + 7 \times 4$ , confirm: 11 + 28 = 39 ✓

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