Solve the Arithmetic Expression: 11×3+7

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

Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Without this order, everyone would get different answers for the same problem!

Q: What if I forget the order of operations?

Remember the phrase "Please Excuse My Dear Aunt Sally" for PEMDAS. Always do multiplication and division first, then addition and subtraction from left to right.

Order of Operations with Mixed Operations

$11\times3+7=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Always solve multiplication and division before addition and subtraction

00:06 Continue solving according to proper order of operations from left to right

00:10 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$11\times3+7=$

Step-by-step solution

In this exercise, it is not possible to use the substitution property, therefore we solve it as is from left to right according to the order of arithmetic operations.

That is, we first solve the multiplication exercise and then we add:

$11\times3=33$

$33+7=40$

Final Answer

$40$

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication comes before addition in order of operations
Two-Step Process: First calculate $11\times3=33$ , then add 7
Verify Answer: Check that 33+7=40 matches the correct answer choice ✓

Common Mistakes

Avoid these frequent errors

Calculating left to right without following order of operations
Don't solve 11×3+7 by doing 11+7=18 first, then 18×3=54! This ignores the order of operations and gives a completely wrong answer. Always do multiplication before addition according to PEMDAS.

Practice Quiz

Test your knowledge with interactive questions

$74+32+6+4+4=\text{?}$

FAQ

Everything you need to know about this question

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

Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Without this order, everyone would get different answers for the same problem!

What if I forget the order of operations?

Remember the phrase "Please Excuse My Dear Aunt Sally" for PEMDAS. Always do multiplication and division first, then addition and subtraction from left to right.

How do I know which operation to do first in this problem?

Look for multiplication (×) and addition (+) signs. Since multiplication comes before addition in PEMDAS, do $11\times3$ first, then add 7 to that result.

What would happen if I added first instead?

If you did 11+(3+7)=11+10=21, you'd get the wrong answer! The order matters because multiplication has higher priority than addition in mathematical expressions.

Are there any shortcuts for problems like this?

No shortcuts needed! Just follow PEMDAS step by step:

Step 1: $11\times3=33$
Step 2: $33+7=40$

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