Solve: 0.6 × (1+2) - Order of Operations with Decimals

Order of Operations with Decimal Multiplication

0.6×(1+2)= 0.6\times(1+2)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following expression
00:03 Always solve the parentheses first
00:11 Continue to solve the remaining expression
00:14 Here is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

0.6×(1+2)= 0.6\times(1+2)=

2

Step-by-step solution

The problem to be solved is 0.6×(1+2)= 0.6\times(1+2)= . Let's go through the solution step by step, following the order of operations.


Step 1: Evaluate the expression inside the parentheses.
Inside the parentheses, we have 1+21+2. According to the order of operations, we first solve expressions in parentheses. Thus, we have:

1+2=3 1 + 2 = 3

So, the expression simplifies to 0.6×3 0.6\times3 .


Step 2: Perform the multiplication.
With the parentheses removed, we now carry out the multiplication:

0.6×3=1.8 0.6 \times 3 = 1.8

Thus, the final answer is 1.8 1.8 .

3

Final Answer

1.8

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve parentheses first, then multiplication
  • Technique: Evaluate (1+2) = 3, then calculate 0.6 × 3
  • Check: Verify 0.6 × 3 = 1.8 by multiplying step by step ✓

Common Mistakes

Avoid these frequent errors
  • Multiplying before solving parentheses
    Don't multiply 0.6 × 1 = 0.6 first, then add 2 = 2.6! This ignores order of operations and gives the wrong answer. Always solve expressions in parentheses first, then multiply the result.

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 0.6 by each number inside the parentheses?

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You actually can use the distributive property: 0.6×(1+2)=0.6×1+0.6×2=0.6+1.2=1.8 0.6 \times (1+2) = 0.6 \times 1 + 0.6 \times 2 = 0.6 + 1.2 = 1.8 . Both methods give the same answer!

How do I multiply a decimal by a whole number?

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Multiply as if both were whole numbers, then count decimal places. For 0.6×3 0.6 \times 3 : multiply 6 × 3 = 18, then place the decimal one position from the right to get 1.8.

What if I forgot PEMDAS and got 2.6 as my answer?

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That's a common mistake! You likely multiplied 0.6×1=0.6 0.6 \times 1 = 0.6 first, then added 2. Remember: Parentheses always come first in the order of operations.

Is there an easy way to remember the order of operations?

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Yes! Use PEMDAS:

  • Parentheses
  • Exponents
  • Multiplication and Division (left to right)
  • Addition and Subtraction (left to right)

Can I check my answer by working backwards?

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Absolutely! If your answer is 1.8, divide by 0.6: 1.8÷0.6=3 1.8 ÷ 0.6 = 3 . This should equal what's in parentheses: 1+2=3 1 + 2 = 3 . It matches, so you're correct!

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