Decimal Addition: Calculate Total Money Given to Nicolas ($4.7) and Daniel ($8.1)

Decimal Addition with Money Context

A father gives his son Nicolas $4.7 4.7 and his son Daniel $8.1 8.1 .

How much does he give his sons in total?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:11 Let's use long addition to solve this problem. Step by step, we'll add the numbers together.
00:20 After each addition, we'll calculate the sum and substitute it back into the equation.
00:31 And there you go, that's the solution to our problem! Great job!

Step-by-step written solution

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1

Understand the problem

A father gives his son Nicolas $4.7 4.7 and his son Daniel $8.1 8.1 .

How much does he give his sons in total?

2

Step-by-step solution

In order to determine how much money the father gave to Daniel and Nicolas, we'll add up the various amounts in the vertical format as follows:

4.7+8.1 4.7\\+8.1

We'll add from left to right as follows:

12.8 12.8

3

Final Answer

$12.8 12.8

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically when adding
  • Technique: Add column by column: 4.7 + 8.1 = 12.8
  • Check: Count decimal places: both numbers have one, answer has one ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't write numbers randomly like 4.7 + 8.1 without lining up the decimal points = wrong calculation! This makes you add wrong place values together. Always align decimal points vertically before adding.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to line up the decimal points?

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Lining up decimal points ensures you're adding the same place values together - tenths with tenths, ones with ones. Without proper alignment, you'll get the wrong answer!

What if one number has more decimal places than the other?

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You can add trailing zeros to make them the same length. For example, treat 4.7 as 4.70 when adding to 8.15, but it's not necessary for this problem.

How do I know my decimal addition is correct?

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Check that your answer makes logical sense. Here, 4.7+8.1=12.8 4.7 + 8.1 = 12.8 is reasonable since it's between 12 and 13, which is what we'd expect!

Can I add decimals without the vertical format?

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Yes, but the vertical format helps prevent mistakes, especially with longer decimal numbers. It's the safest method for beginners!

What does the dollar sign mean in this problem?

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The dollar sign shows we're working with money, but the math is the same as any decimal addition. Just remember to include the $ in your final answer!

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