Solve the Expression: 2+3-15÷3×4+6 Using Order of Operations

Order of Operations with Mixed Arithmetic

Complete the exercise:

2+3−15:3×4+6= 2+3-15:3\times4+6=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Division and multiplication precede addition and subtraction
00:03 Start with division - from left to right
00:12 Now perform multiplication - before addition and subtraction
00:22 Addition and subtraction - solve from left to right

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete the exercise:

2+3−15:3×4+6= 2+3-15:3\times4+6=

2

Step-by-step solution

According to the rules of the order of arithmetic operations, we must first place multiplication and division exercises inside of parentheses:

2+3−(15:3×4)+6= 2+3-(15:3\times4)+6=

We then solve the exercise within the parentheses from left to right:

15:3=5 15:3=5

5×4=20 5\times4=20

After which we are left with the following exercise:

2+3−20+6= 2+3-20+6=

Lastly we solve the exercise from left to right:

2+3=5 2+3=5

5−20=−15 5-20=-15

−15+6=−9 -15+6=-9

3

Final Answer

-9

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Division and multiplication first, left to right
  • Technique: Group operations: 15÷3×4 becomes (15÷3)×4 = 5×4 = 20
  • Check: Final calculation 2+3-20+6 = 5-20+6 = -15+6 = -9 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following order of operations
    Don't solve 2+3-15÷3×4+6 as (2+3-15)÷3×4+6 = -10÷3×4+6 = wrong answer! This ignores PEMDAS and gives incorrect results. Always do division and multiplication first, then addition and subtraction from left to right.

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?

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Mathematics has a specific order that prevents confusion! If everyone solved differently, we'd get different answers. PEMDAS ensures everyone gets the same correct result.

Do I really need to do 15÷3 before ×4?

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Yes! Division and multiplication have equal priority, so you work left to right. In this case: 15÷3=5, then 5×4=20.

What if I get a different negative answer?

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Double-check your arithmetic! The most common error is sign mistakes when subtracting 20. Remember: 5-20=-15, then -15+6=-9.

Should I use parentheses to help me?

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Absolutely! Writing 2+3−(15÷3×4)+6 2+3-(15÷3×4)+6 can help you visualize which operations to do first. This is a great strategy!

How do I remember PEMDAS?

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Try "Please Excuse My Dear Aunt Sally" - Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Practice makes it automatic!

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