Ms. Spooner

Powers and Exponents

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

Factor- when whole numbers other than zero are multiplied. Each number is a factor.

Power- a product that has a repeated factor

Base- the repeated factor

Exponent- the number of times that a factor is being repeated

Objective

To find the value of powers

Lesson 

 What are Exponents?

Exponents are sometimes referred to as powers and means the number of times the 'base' is being multiplied. In the study of algebra, exponents are used frequently. In the example to the right, one would say: Four to the power of 2 or four raised to the second power or four to the second. This would mean 4 x 4 or (4) (4) or 4 · 4 . Simplified the example would be 16.

If the power/exponent of a number is 1, the number will always equal itself. In other words, in our example if the exponent 2 was a 1, simplified the example would then be 4

Practice

If you need more practice, click the Online Tutorial that is used with our Text Book

Click on: eTutorial

Then: Lesson 3

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Scientific Notation

Standard

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