1. ## Scientific Notation

WRITE THE COLORED NUMBER IN SCIENTIFIC NOTATION

THE HUMAN BODY RESPONDS TO WARMTH AND COLD WITHIN 0.1 TO 0.2 SECONDS.

HOW DO YOU WRITE NUMBERS IN SCIENTIFIC NOTATION?

2. ## scientific notation

Here are a few examples of scientific notation. Let me know if it makes sense.
$\displaystyle 1 * 10^{-1} = 0.1$
$\displaystyle 2 * 10^{-1} = 0.2$
$\displaystyle 2 * 10^{-3} = 0.002$
$\displaystyle 2 * 10^{3} = 200$

3. I Understand It Now, Thanks!

4. Originally Posted by Math Help
Here are a few examples of scientific notation. Let me know if it makes sense.
$\displaystyle 2 * 10^{3} = 200$
it should be $\displaystyle 2\cdot10^3=\bold{2000}$

First of all, release your CapsLock.
All upper-case letters is impolite . . . it's shouting.

How do you write numbers in scientific notation?

A quantity in scientific notation is a number $\displaystyle n,\;1 \leq n < 10,$ times a power of 10.

Examples

. . $\displaystyle (a)\;238,000 = 2.38 \times 10^5$

. . $\displaystyle (b)\;0.00057 \,= \,5.7 \times 10^{-4}$

In example (a), $\displaystyle 238,000$ was transformed to $\displaystyle 2.38$
. . by moving the decimal point (far right) five places to the left.
In effect, we have divided by $\displaystyle 100,000$
. . so we multiply by $\displaystyle 100,000 = 10^5$

In example (b), $\displaystyle 0.00057$ was transformed to $\displaystyle 5.7$
. . by moving the decimal point four places to the right.
In effect, we have multiplied by $\displaystyle 10,000$
. . so we divide by $\displaystyle 10,000$ ... or multiply by $\displaystyle \frac{1}{10,000} = 10^{-4}$

6. Originally Posted by Soroban