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

Follow each step carefully to understand the complete solution
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

Test your knowledge with interactive questions

Are they the same numbers?

\( 0.1\stackrel{?}{=}0.10 \)

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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