Big Ideas Math: Modeling Real Life, Grade 8
BI
Big Ideas Math: Modeling Real Life, Grade 8 View details
6. Scientific Notation
Continue to next subchapter

Exercise 22 Page 353

Move the decimal according to the exponent of 10.

0.00027

Practice makes perfect

A number written in scientific notation usually expresses a very large or very small number. It writes the value of that number as a product of 10 to some power. Let's look at some examples.

Scientific Notation Standard Notation
5 * 10^(10) 5 0 000 000 000
5 * 10^5 5 00 000
5 * 10^1 5 0
5 * 10^0 5
5 * 10^(- 1) 0.5
5 * 10^(- 5) 0.00005
5 * 10^(- 10) 0.0000000005
To change from scientific notation to standard form, move the decimal of the given number according to the exponent of 10.

2.7* 10^(- 4) In this case, the exponent is negative4. Therefore, we should move the decimal four places to the left.

The standard form of 2.7* 10^(- 4) is 0.00027. Scientific Notation:& 2.7* 10^(- 4) Standard Form:& 0.00027