Mathematical Format Selection: Identifying Correct Notation Forms

Decimal Addition with Proper Alignment

Choose the correct format:

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Step-by-step written solution

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1

Understand the problem

Choose the correct format:

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Step-by-step solution

To correctly set up a vertical addition of decimal fractions, it is crucial to align the numbers by their decimal points. Let's break down the choices:

  • Choice 1 presents the numbers in the proper format. The decimal points of 15.5604 15.5604 and 4.32 4.32 align vertically, ensuring accurate addition.

  • Choice 2 misaligns the decimal points, incorrectly starting 4.32 4.32 further to the left than necessary.

  • Choice 3 also misaligns the decimals, wanting to begin 4.32 4.32 even further than choice 2.

Thus, the correct choice is Choice 1, since it correctly aligns the numbers by their decimal points, facilitating accurate addition of the values involved.

Therefore, the correct format choice is Choice 1.

3

Final Answer

15.56044.32+

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Always line up decimal points vertically in column addition
  • Technique: Position 4.32 4.32 under 15.5604 15.5604 with decimals aligned
  • Check: Verify decimal points form straight vertical line in setup ✓

Common Mistakes

Avoid these frequent errors
  • Aligning numbers by their left edges instead of decimal points
    Don't line up 15.5604 and 4.32 by their first digits = incorrect sum! This misaligns place values and gives wrong answers. Always align the decimal points vertically to ensure each digit is in its correct place value column.

Practice Quiz

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FAQ

Everything you need to know about this question

Why can't I just line up the numbers from the left like whole numbers?

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Because with decimals, the decimal point determines place value, not the first digit! Lining up from the left puts digits in wrong columns, like adding tenths to hundredths.

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

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That's fine! Just align the decimal points and imagine invisible zeros at the end of the shorter decimal. For example, treat 4.32 4.32 as 4.3200 4.3200 when adding to 15.5604 15.5604 .

How do I know which format shows correct alignment?

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Look for the decimal points forming a straight vertical line. In the correct format, the decimal point in 4.32 4.32 should be directly under the decimal point in 15.5604 15.5604 .

Does it matter where I position the shorter number?

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Yes! The shorter number should be positioned so its decimal point aligns with the longer number's decimal point. Don't just center it or put it anywhere convenient.

What happens if I use the wrong alignment?

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You'll get the wrong answer! Misaligned decimals mean you're adding wrong place values together, like adding tens to ones or tenths to hundredths.

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