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

Solve the following equation:

\( 25 - (8 + 5) = \)

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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