Scientific Notation

Standard

6.N.1 Demonstrate an understanding of positive integer exponents, in particular, when used in powers of ten, e.g., 102, 105.

Cluster
C5

Vocabulary

Scientific Notation- a number written in the form of c x 10 n Where c is a number greater than 1 and less than 10. and n is a positive or negative ingteger.

Objective

To write large number in scientific notation

 

 

The Lesson

To Change from Standard Form to Scientific Notation:

(1) Place decimal point such that there is one non-zero digit to the left of the decimal point.

(2) Count number of decimal places the decimal has "moved" from the original number. This will be the exponent of the 10.

(3) If the original number was less than 1, the exponent is negative; if the original number was greater than 1, the exponent is positive.

Examples:

Given: 4,750,000
use: 4.75 (moved 6 decimal places)
answer: 4.75 X 106  

The original number was greater than 1 so the exponent is positive.

Given:  0.000789
use:    7.89 (moved 4 decimal places)
answer:  7.89 x 10-4   
The original number was less than 1 so the exponent is negative.

 

 

Practice

If you need more practice you can click on the Text Book

Then: Click on Hint and homework help

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