M8N1.j.Express and use numbers in scientific notations

Scientific notations is simply a method for expressing, and working with, very large or very small numbers. It is a short hand methods for writing number, and as easy methods for calculations. Number in scientific notation are made of three parts : the coefficient,the base, and the exponent.

Example #1

5.67 x 105

This is scientific notation for the standard number, 567,000. Now look at the number again with the three parts lableled.

Example #2

5.67 x 10

cofficient base exponent

In order for a number to be in correct scientific notation, the following conditions must be true:

1. The coefficent must be greater than _> or equal to 1 and < less than 10.
2. The base must be 10.
3. The exponent must show the number of decimal places that the decimal needs to be moved to changed the number to standard notation. A negative exponent means that the decimal is moved to the left when changing to standard notation.

M8A4.c.Graph equations of the form y=mx+b

*y=mx+b is the slope formula*


 

y= -3x + 4

Form  y=-3x+4

Slope -3

y-intercept 4

Example #2



y= 2x+6

Form  y=2x+6

Slope 2

y-intercept 6

1. when graphing equations you look at your y-intercept
2. you look at your slope and see if its positive or negetive slope
3. do rise/run from your y-intercept
4. identifiy your slope & y-intercept
5. draw your line threw your points

Example #1

M8N1. f. Estimate square roots of postive numbers

What is an square root ? A divisor of a quantity that when squared gives the quantity. For example, the square roots of 25 are 5 and −5 because 5 × 5 = 25 and (−5) × (−5) = 25.

What is estimate square root ? A number that is the closet to a square root. For example, the square root of 69 is 8 somn.

Example 1

<----8----6----4----2---0---2---4---6---8----> 

so you have an number line....say if they ask the estimate of 35 you would pick six because the square root six is 36 therefore 35 if closer to six then any other numbe.!

Example 2

what is the estimate of 17?

<----8----6----4----2---0---2---4---6---8----> 

so the estimate square root would be 4, because the square root of 4 is 16.!