Question

What number does this expanded form represent?
(1×10) + (1x1) +(3x0.1) + (4 x 0.01) + (9x0.001)

Answer 1

To find the number represented by the expanded form \((1 \times 10) + (1 \times 1) + (3 \times 0.1) + (4 \times 0.01) + (9 \times 0.001)\), we can calculate each term separately:

1. \(1 \times 10 = 10\)
2. \(1 \times 1 = 1\)
3. \(3 \times 0.1 = 0.3\)
4. \(4 \times 0.01 = 0.04\)
5. \(9 \times 0.001 = 0.009\)

Now we sum these values:

\[
10 + 1 + 0.3 + 0.04 + 0.009
\]

Calculating step by step:

\[
10 + 1 = 11
\]

\[
11 + 0.3 = 11.3
\]

\[
11.3 + 0.04 = 11.34
\]

\[
11.34 + 0.009 = 11.349
\]

So, the number represented by the expanded form is \(\boxed{11.349}\).