Decimal Subtraction Format: Is 25.754 - 3.13 Properly Aligned?

Is the following written in the correct format?

25.7543.13-

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine what is the correct writing format?
00:04 We will use long subtraction to find the correct way
00:10 We will write so that the decimal points are one above the other
00:16 And likewise each digit should be one above the other accordingly
00:22 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Is the following written in the correct format?

25.7543.13-

2

Step-by-step solution

When setting up a subtraction problem with decimals, it is crucial that the decimal points in both numbers directly align. This ensures that each digit is correctly placed in its respective place value column (units, tenths, hundredths, etc.) to facilitate accurate subtraction.

In this problem, the number 25.75425.754 is aligned vertically with 3.133.13. Upon inspection, both decimals are indeed arranged vertically so that the decimal points are in the same column. The digits following the decimal in 3.133.13 are tenths and hundredths, leaving the thousandths position empty, which is acceptable as we can treat the missing place value as zero for alignment purposes (i.e., treat 3.133.13 as 3.1303.130).

Therefore, the numbers are set up correctly for vertical subtraction, where:

25.7543.130\begin{array}{c} 25.754 \\ -\,3.130 \\ \hline \end{array}

This alignment confirms that the subtraction operation can reliably proceed as the format is correct.

Therefore, the correct answer to the problem is Yes.

3

Final Answer

Yes

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