Solve: 0.4 × (3+1) Using Order of Operations

Order of Operations with Decimal Multiplication

0.4×(3+1)= 0.4 \times (3+1) =

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

0.4×(3+1)= 0.4 \times (3+1) =

2

Step-by-step solution

First, calculate the expression inside the parentheses: 3+1 3 + 1 equals 4 4 .

Then multiply 0.4 0.4 by 4 4 to get 1.6 1.6 .

3

Final Answer

1.6

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve parentheses first, then multiplication
  • Calculate Step-by-Step: (3+1)=4 (3+1) = 4 , then 0.4×4=1.6 0.4 \times 4 = 1.6
  • Verify Answer: Check that 0.4×4=1.6 0.4 \times 4 = 1.6 matches your final result ✓

Common Mistakes

Avoid these frequent errors
  • Multiplying 0.4 by 3 first instead of solving parentheses
    Don't multiply 0.4 × 3 = 1.2, then add 1 to get 2.2! This ignores the parentheses and breaks the order of operations. Always solve what's inside parentheses first, then multiply.

Practice Quiz

Test your knowledge with interactive questions

\( 20\div(4+1)-3= \)

FAQ

Everything you need to know about this question

Why can't I just multiply 0.4 by 3 first?

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The parentheses tell you what to calculate first! In 0.4×(3+1) 0.4 \times (3+1) , you must solve (3+1)=4 (3+1) = 4 before multiplying by 0.4.

How do I multiply 0.4 by 4 without a calculator?

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Think of 0.4 as 4 tenths! So 0.4×4 0.4 \times 4 means 4 tenths × 4 = 16 tenths = 1.6. Or use: 4×4=16 4 \times 4 = 16 , then move decimal one place left.

What does PEMDAS mean again?

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Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Always do operations in this order!

Can I write this problem differently?

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Yes! 0.4×(3+1) 0.4 \times (3+1) is the same as 0.4(3+1) 0.4(3+1) or (3+1)×0.4 (3+1) \times 0.4 . The parentheses still come first in all versions.

Why is my answer 2.2 wrong?

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You probably calculated 0.4×3+1=1.2+1=2.2 0.4 \times 3 + 1 = 1.2 + 1 = 2.2 . But the parentheses change everything! (3+1)=4 (3+1) = 4 first, then 0.4×4=1.6 0.4 \times 4 = 1.6 .

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