Decimal Addition Format: Is 7.462 + 2.13 Properly Aligned?

Question

Is the following written in the correct format?

7.4622.13+

Video Solution

Step-by-Step Solution

To determine if the addition of decimals is set up correctly, follow these steps:

  • Step 1: Check the alignment of the decimal points in both numbers.
  • Step 2: Ensure each corresponding place value (units, tenths, hundredths, etc.) is aligned vertically.
  • Step 3: Look at the layout provided:
    7.462+.2.13 \begin{array}{c} 7.462 \\ +\phantom{.}2.13 \\ \hline \end{array}

The first number, 7.4627.462, has three decimal places, whereas the second number, 2.132.13, has two decimal places. The decimal point in 2.132.13 should be directly below the decimal point in 7.4627.462. However, it appears that the digits in the tenths and hundredths place of 2.132.13 are not properly aligned with 7.4627.462. Hence, the addition is not aligned correctly as the decimal points are not vertically aligned.

Therefore, the addition layout is incorrect, and the solution to the problem is:

No

Answer

No