Solve Order of Operations: 4×7×2÷4-1×9 Step-by-Step

Order of Operations with Mixed Arithmetic

Complete the exercise:

4×7×2:41×9= 4\times7\times2:4-1\times9=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's first simplify the expression.
00:23 Next, multiply the numbers, and then subtract.
00:32 Finally, complete solving the equation. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete the exercise:

4×7×2:41×9= 4\times7\times2:4-1\times9=

2

Step-by-step solution

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

(4×7×2:4)(1×9)= (4\times7\times2:4)-(1\times9)=

We then proceed to solve the exercise in parentheses from left to right:

4×7=28 4\times7=28

28×2=56 28\times2=56

56:4=14 56:4=14

We obtain the following exercise:

149=5 14-9=5

3

Final Answer

5

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Multiplication and division from left to right first
  • Technique: Group operations: (4×7×2÷4) - (1×9) = 14 - 9
  • Check: Verify each step: 28×2÷4 = 56÷4 = 14 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following PEMDAS
    Don't solve 4×7×2÷4-1×9 as ((((4×7)×2)÷4)-1)×9 = 252! This ignores order of operations and treats subtraction like grouping. Always complete all multiplication and division first, then handle addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

\( 8 + 3 \times 2 = \)

FAQ

Everything you need to know about this question

Why don't I just work from left to right?

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Order of operations (PEMDAS) requires multiplication and division before addition and subtraction! Working strictly left to right ignores these rules and gives wrong answers.

Do I need parentheses to solve this?

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The parentheses in the explanation are just for showing which operations to do first. You don't need to write them - just remember multiplication and division come before subtraction.

What does the colon (:) symbol mean?

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The colon (:) means division, just like the ÷ symbol. So 56:4 56:4 is the same as 56÷4=14 56 ÷ 4 = 14 .

How do I remember to multiply 4×7×2 before dividing by 4?

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Multiplication and division have equal priority and are solved left to right. So: 4×7=28, then 28×2=56, then 56÷4=14.

Why is the answer positive when we subtract 9?

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We get 14 - 9 = 5 because the multiplication and division part equals 14, which is larger than the 9 we're subtracting. Always complete grouped operations first!

Can I use a calculator for this?

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Yes, but make sure your calculator follows order of operations! Some basic calculators work left to right, which would give the wrong answer. Scientific calculators typically follow PEMDAS correctly.

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