Decimal Addition: Calculate the Sum of $1.5 and $3.2

Decimal Addition with Money Values

Jacob's mother gives him $1.5 1.5 and his brother Patrick $3.2 3.2 .

How much does she give to Jacob and Patrick in total?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's solve this problem step by step.
00:12 First, we'll use long addition to calculate.
00:17 We'll add the numbers carefully. Subtract where needed.
00:27 Remember to place the decimal point correctly.
00:31 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Jacob's mother gives him $1.5 1.5 and his brother Patrick $3.2 3.2 .

How much does she give to Jacob and Patrick in total?

2

Step-by-step solution

In order to determine the total amount that the mother gave Jacob and Patrick, we'll add the numbers vertically as follows:

1.5+3.2 1.5\\+3.2

We'll add from right to left accordingly and obtain the following:

4.7 4.7

3

Final Answer

4.7 4.7

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points before adding vertically
  • Technique: Add column by column: 5 + 2 = 7, then 1 + 3 = 4
  • Check: Verify decimal point placement: 1.5+3.2=4.7 1.5 + 3.2 = 4.7

Common Mistakes

Avoid these frequent errors
  • Misaligning decimal points during addition
    Don't line up the rightmost digits like whole numbers = wrong answer 4.5! This ignores place value and gives incorrect results. Always align decimal points vertically before adding each 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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Decimal points must align to ensure you're adding the correct place values together - tenths with tenths, ones with ones. Without proper alignment, you'll get the wrong answer!

What if one decimal has more digits than the other?

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Add zeros to the shorter decimal to make them equal length. For example, treat 1.5 as 1.50 when adding to 3.25.

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

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The decimal point in your answer goes directly below the aligned decimal points in the problem. This keeps all place values properly organized!

Can I add decimals without writing them vertically?

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Yes, but vertical alignment is much safer for beginners! It helps you avoid place value errors and makes checking your work easier.

What if I forget to include the dollar sign in my answer?

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Always read the problem carefully! Since Jacob and Patrick received money, your final answer should include the dollar sign: $4.7

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