Question

Find the standard decimal form of:
2×1+2×
1
10
+1×
1
100

Answer 1

To find the standard decimal form of the expression \( 2 \times 1 + 2 \times \frac{1}{10} + 1 \times \frac{1}{100} \), we will calculate each term separately:

1. \( 2 \times 1 = 2 \)
2. \( 2 \times \frac{1}{10} = \frac{2}{10} = 0.2 \)
3. \( 1 \times \frac{1}{100} = \frac{1}{100} = 0.01 \)

Now, we can add these values together:

\[
2 + 0.2 + 0.01
\]

To perform the addition, it helps to align the decimal points:

\[
\begin{array}{r}
2.00 \\
0.20 \\
0.01 \\
\hline
\end{array}
\]

Now, we can add them column by column:

- In the hundredths place: \( 0 + 0 + 1 = 1 \)
- In the tenths place: \( 0 + 2 + 0 = 2 \)
- In the units place: \( 2 + 0 + 0 = 2 \)

Thus, adding them together gives:

\[
2.21
\]

Therefore, the standard decimal form of the expression is:

\[
\boxed{2.21}
\]