Decimal Addition Check: Verifying 312.54 + 1203.22 Alignment

Question

Determine whether the exercise is correctly written or not.

The position of the decimal point corresponds.

312.54+1203.22

Video Solution

Solution Steps

00:00 Determine if the decimal point placement is correct?
00:03 We'll use long addition to find the position of the decimal point
00:10 In long addition, the decimal points must be aligned one above the other
00:26 In our exercise, the decimal points are not aligned one above the other
00:34 Therefore, the decimal point placement is incorrect
00:37 And this is the solution to the question

Step-by-Step Solution

To determine if the addition problem is set up correctly, we need to analyze how the numbers are aligned.

The given numbers for addition are 312.54312.54 and 1203.221203.22. When aligning these numbers for addition:

312.54+1203.22\begin{array}{r} 312.54 \\ +1203.22 \\ \hline \end{array}

We examine how the decimal points are positioned. For a correct setup, the decimal points should be aligned vertically. However, in the visual provided:

  • The decimal point in 312.54312.54 is positioned one place to the right compared to the decimal in 1203.221203.22.

  • The alignment should have appeared as amp;00312.54amp;+1203.22 \begin{aligned} &\phantom{00}312.54 \\ &+1203.22 \end{aligned} to be correct, but it does not.

Since the decimal points are not vertically aligned, the addition is set up incorrectly.

Therefore, the statement regarding the positioning of the decimal points is Not true.

Answer

Not true