Solve Decimal Addition: 0.85 + 7.61 + 2.3

Decimal Addition with Mixed Decimal Places

0.85+7.61+2.3= 0.85+7.61+2.3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:08 We will use long addition to calculate the first addition
00:16 This is the sum of the first addition
00:27 We will use long addition to calculate the addition
00:39 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

0.85+7.61+2.3= 0.85+7.61+2.3=

2

Step-by-step solution

According to the order of operations, we will solve the exercise from left to right.

We will first calculate the addition exercise in the vertical column, since it contains two numbers after the decimal point:

0.85+7.61=8.46 0.85+7.61=8.46

Now we will get the exercise:

8.46+2.3= 8.46+2.3=

Let's remember that:

2.3=2.30 2.3=2.30

We will calculate in the vertical column and get:

10.76 10.76

3

Final Answer

10.76

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically for accurate addition
  • Technique: Add zeros to match decimal places: 2.3 becomes 2.30
  • Check: Count decimal places: 0.85 + 7.61 + 2.30 = 10.76 ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't line up the rightmost digits like whole numbers = wrong place values! This makes 2.3 + 7.61 become 23 + 761 instead of 2.30 + 7.61. Always align decimal points vertically and add placeholder zeros when needed.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to add a zero to 2.3?

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Adding zeros helps you align columns properly. When you write 2.3 as 2.30, it's easier to see that the 0 lines up with the 1 in 7.61, preventing addition errors.

Can I just add from left to right without writing vertically?

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While possible, vertical alignment is much safer for decimal addition! It helps you avoid place value mistakes and makes it easier to track your decimal point placement.

What if the decimals have different numbers of places?

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No problem! Just add zeros to the right of shorter decimals. For example: 0.85, 7.61, and 2.30 all have two decimal places after adding the zero to 2.3.

How do I know where to put the decimal point in my answer?

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The decimal point in your answer goes in the same column as the decimal points you aligned in the problem. If you line them up correctly, your answer's decimal point will line up too!

Should I solve this left to right or can I add all three at once?

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Both ways work! You can add all three numbers in one vertical calculation, or add two first then add the third. The vertical method with all three is often faster and less error-prone.

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