Question

Write the following number in Standard Form:

(3 x 100) + (1 x 10) + (2 x 1) + (4 x 1/10)

Answer 1

To write the given expression in Standard Form, we first need to simplify it.

The expression is:

\[
(3 \times 100) + (1 \times 10) + (2 \times 1) + (4 \times \frac{1}{10})
\]

Calculating each term:

- \(3 \times 100 = 300\)
- \(1 \times 10 = 10\)
- \(2 \times 1 = 2\)
- \(4 \times \frac{1}{10} = 0.4\)

Now, we can add these values together:

\[
300 + 10 + 2 + 0.4 = 312.4
\]

Next, we convert \(312.4\) into Standard Form. Standard Form (often referred to as scientific notation) is expressed in the form:

\[
a \times 10^n
\]

where \(1 \leq a < 10\) and \(n\) is an integer.

For \(312.4\):

\[
312.4 = 3.124 \times 10^2
\]

Thus, the number in Standard Form is:

\[
\boxed{3.124 \times 10^2}
\]