Calculate the Sum: 0.85 + 0.67 Decimal Addition Problem

Decimal Addition with Carrying Operations

0.850.67+

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's locate the decimal point
00:06 First, let's combine the smallest digits
00:09 Calculate and place the ones, remember 1 above
00:17 For this calculation add 1
00:27 Calculate and place the ones, remember 1 above
00:33 For this calculation add 1, calculate and place
00:45 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

0.850.67+

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Align the given decimal numbers by the decimal point.
  • Step 2: Add the numbers from rightmost digit to leftmost, handling carrying if necessary.
  • Step 3: Compare the computed answer with the provided choices.

Now, let's work through each step:

Step 1: Align the decimals:

+0.85+0.67 \begin{array}{c} \phantom{+} 0.85 \\ + 0.67 \\ \hline \end{array}

Step 2: Begin adding from the rightmost side (hundredths place):

  • Hundredths place: 5+7=12 5 + 7 = 12 . Write 2, carry over 1 to the tenths place.
  • Tenths place: 8+6=14 8 + 6 = 14 . Including the carry over, 14+1=15 14 + 1 = 15 . Write 5, carry over 1 to the next whole number place (ones place).
  • Ones place: 0+0=0 0 + 0 = 0 . Including the carry over, 0+1=1 0 + 1 = 1 . Write 1.

The calculated sum is 1.52.

Step 3: Compare with answer choices:

  • The options are: 1.52, 0.152, 1.052, and 1.152.
  • The calculated sum of 1.52 matches the choice labeled 1: 1.52.

Therefore, the solution to the problem is 1.52 1.52 .

3

Final Answer

1.52

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before adding numbers
  • Technique: Add right to left: 5+7=12, write 2 carry 1
  • Check: Verify 0.85 + 0.67 = 1.52 by estimation: 1+1≈2 ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't just line up the rightmost digits without considering decimal placement = wrong place values! This puts tenths in hundredths place and creates incorrect sums. Always align the decimal points vertically first, then add column by column.

Practice Quiz

Test your knowledge with interactive questions

\( \text{0.6+0}.5= \)

+=

FAQ

Everything you need to know about this question

Why do I need to line up the decimal points?

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Aligning decimal points ensures you're adding like place values: tenths with tenths, hundredths with hundredths. Without proper alignment, you'll get the wrong answer!

What does 'carry over' mean in decimal addition?

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When a column sum is 10 or more, you write the ones digit in that column and carry the tens digit to the next column left. For example: 5+7=12, so write 2 and carry 1.

How can I check if my decimal addition is correct?

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Use estimation! Round each decimal to the nearest whole number and add: 0.851 0.85 ≈ 1 and 0.671 0.67 ≈ 1 , so 1+1=2 1 + 1 = 2 . Your answer 1.52 is close to 2 ✓

What if the decimals have different numbers of digits?

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Add zeros as placeholders! For example, 0.8 + 0.67 becomes 0.80 + 0.67. This makes alignment easier and ensures you don't miss any place values.

Do I always need to carry when adding decimals?

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Only when needed! You carry when any column sum equals 10 or more. In this problem, both 5+7=12 and 8+6+1=15 required carrying, but simpler problems might not.

Why is 1.52 correct and not 1.152?

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Count the decimal places! Both 0.85 and 0.67 have 2 decimal places, so the sum should also have 2 decimal places. 1.152 has 3 decimal places, making it incorrect.

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