Solve the Expression: 12×13+14 Using Basic Arithmetic

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

Mathematics has a specific order of operations (PEMDAS) that must be followed. Multiplication comes before addition, regardless of which appears first when reading left to right.

Q: How do I remember to multiply first?

Think of multiplication as grouping. The expression $ 12\times13+14 $ means 'twelve groups of thirteen, plus fourteen more'. You need to find the groups first!

Q: What if there were parentheses around 13+14?

Then you would calculate (13+14) first because parentheses come before everything else in PEMDAS. So $ 12\times(13+14) = 12\times27 = 324 $.

Q: Is 12×13 hard to calculate in my head?

Break it down: $ 12\times13 = 12\times10 + 12\times3 = 120 + 36 = 156 $Or use: $ 12\times13 = (10+2)\times13 = 130 + 26 = 156 $

Q: How can I double-check my work?

Use the reverse operation! Since $ 170-14=156 $ and $ 156÷12=13 $, your answer of 170 is correct.

Order of Operations with Mixed Arithmetic

$12\times13+14=$

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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 We'll continue solving according to proper order of operations from left to right

00:09 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

$12\times13+14=$

Step-by-step solution

According to the order of operations, we start with the multiplication exercise and then with the addition.

$12\times13=156$

Now we get the exercise:

$156+14=170$

Final Answer

$170$

Key Points to Remember

Essential concepts to master this topic

Rule: Always follow PEMDAS - multiplication before addition operations
Technique: Calculate $12\times13=156$ first, then add 14
Check: Verify final answer: $156+14=170$ ✓

Common Mistakes

Avoid these frequent errors

Adding before multiplying
Don't calculate 13+14=27 first and then multiply by 12 = 324! This ignores the order of operations and gives a completely wrong result. Always multiply 12×13 first, then add 14.

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?

Mathematics has a specific order of operations (PEMDAS) that must be followed. Multiplication comes before addition, regardless of which appears first when reading left to right.

What does PEMDAS stand for?

Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). This ensures everyone gets the same answer!

How do I remember to multiply first?

Think of multiplication as grouping. The expression $12\times13+14$ means 'twelve groups of thirteen, plus fourteen more'. You need to find the groups first!

What if there were parentheses around 13+14?

Then you would calculate (13+14) first because parentheses come before everything else in PEMDAS. So $12\times(13+14) = 12\times27 = 324$ .

Is 12×13 hard to calculate in my head?

Break it down: $12\times13 = 12\times10 + 12\times3 = 120 + 36 = 156$
Or use: $12\times13 = (10+2)\times13 = 130 + 26 = 156$

How can I double-check my work?

Use the reverse operation! Since $170-14=156$ and $156÷12=13$ , your answer of 170 is correct.

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