Solve the Expression: 6 + 8.4 × 1 Using Order of Operations

Order of Operations with Decimal Multiplication

6+8.4×1= 6+\text{8}.4\times1=

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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 Any number multiplied by 1 equals itself
00:09 Now let's continue solving
00:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

6+8.4×1= 6+\text{8}.4\times1=

2

Step-by-step solution

According to rules of the order of operations , we must first place the multiplication exercise inside of parentheses:

6+(8.4×1)= 6+(8.4\times1)=

Let's now proceed to solve the said expression:

8.4×1=8.4 8.4\times1=8.4

We should obtain the following exercise:

6+8.4=14.4 6+8.4=14.4

3

Final Answer

14.4

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Multiplication always comes before addition in expressions
  • Technique: Calculate 8.4×1=8.4 8.4 \times 1 = 8.4 first, then add 6
  • Check: Verify 6+8.4=14.4 6 + 8.4 = 14.4 matches your final answer ✓

Common Mistakes

Avoid these frequent errors
  • Adding before multiplying
    Don't add 6 + 8.4 first to get 14.4 × 1 = 14.4! This ignores order of operations and sometimes gives wrong answers. Always multiply first, then add according to PEMDAS rules.

Practice Quiz

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\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

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

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Mathematics has specific rules called PEMDAS that tell us the correct order. Going left to right works for some problems, but not when multiplication and addition are mixed together!

What does 8.4 × 1 equal anyway?

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Any number multiplied by 1 equals itself! So 8.4×1=8.4 8.4 \times 1 = 8.4 . This is called the multiplicative identity property.

How do I remember the order of operations?

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Use the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Many students remember it as "Please Excuse My Dear Aunt Sally."

What if there were parentheses in this problem?

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Parentheses always come first! If you saw (6+8.4)×1 (6 + 8.4) \times 1 , you'd solve inside the parentheses first to get 14.4×1=14.4 14.4 \times 1 = 14.4 .

Do I need to show my work for simple problems like this?

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Yes! Showing each step helps you avoid mistakes and proves you understand order of operations. Write: 8.4×1=8.4 8.4 \times 1 = 8.4 , then 6+8.4=14.4 6 + 8.4 = 14.4 .

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