Question

Rewrite using scientific notation: 338


A: 3.38 × 10^1
B:3.38 × 10^2
C:3.38 × 10^3
D:3.38 × 10^4

Answer 1

See, when we multiply and divide some number by same number, then its value does not change.

Answer 2

3.38 x 10^2 = 338
by moving the decimal to the right twice.

Answer 3

For example :

\[5 \]

Multiply and divide it by 10:

\[5 \times \frac{10}{10}\] = \(5\) only

Answer 4

Coming to your problem, you have \(338\)..

You want to shift decimal point from right to left, so we can divide and multiply by \(100\) here.

Answer 5

\[338 \times \frac{100}{100} = \frac{338}{100} \times 100\]

Answer 6

We can use \(100\) for division there;\[\implies 3.38 \times 100 = \color{green}{3.38 \times 10^2}\]