Solve the Expression: 4-5×7+3 Using Order of Operations

Order of Operations with Mixed Arithmetic

Complete the exercise:

45×7+3= 4-5\times7+3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Remember, multiplication and division come first before addition and subtraction.
00:16 Use the commutative rule to rearrange numbers for easier solving.
00:21 Add and subtract in order from left to right, since they're at the same level.
00:31 And that's how you find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete the exercise:

45×7+3= 4-5\times7+3=

2

Step-by-step solution

According to the rules of the order of arithmetic operations, we must first solve the multiplication exercises.

We place them inside of parentheses to avoid confusion during the solution:

4(5×7)+3= 4-(5\times7)+3=

We then solve the multiplication exercises:

435+3= 4-35+3=

Lastly we solve the rest of the exercise from left to right:

435=31 4-35=-31

31+3=28 -31+3=-28

3

Final Answer

28 -28

Key Points to Remember

Essential concepts to master this topic
  • Rule: Follow PEMDAS - multiplication comes before addition and subtraction
  • Technique: Calculate 5×7=35 first, then work left to right: 4-35+3
  • Check: Verify each step: 4-35=-31, then -31+3=-28 ✓

Common Mistakes

Avoid these frequent errors
  • Working from left to right without following order of operations
    Don't solve 4-5×7+3 as (4-5)×7+3 = -1×7+3 = -4! This ignores the rule that multiplication comes first. Always do multiplication before addition and subtraction, regardless of position.

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 solve from left to right like reading?

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Mathematics has a special order called PEMDAS that ensures everyone gets the same answer. If we solved left to right, 45×7+3 4-5\times7+3 would give different results depending on how we group operations!

What does PEMDAS stand for again?

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Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Remember: Please Excuse My Dear Aunt Sally!

Should I add parentheses like the explanation shows?

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Adding parentheses like 4(5×7)+3 4-(5\times7)+3 is a great visual helper! It doesn't change the math, but it clearly shows which operation to do first. Very helpful for avoiding mistakes!

What if I get confused with negative numbers?

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Take it one step at a time: First 5×7=35 5\times7=35 , then 435=31 4-35=-31 , finally 31+3=28 -31+3=-28 . Write each step separately to avoid confusion!

How do I remember to multiply first?

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Think of multiplication as stronger than addition/subtraction - it always goes first! You can also remember: My Dear (Multiplication/Division) comes before Aunt Sally (Addition/Subtraction) in PEMDAS.

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