Name ____________________________
Chapter 1 Lesson 8
Math 8 Topic: Scientific Notation DO IT:
What you have to leave
here knowing:
1) How to express a
number in scientific
notation.
2) How to convert from
scientific notation to a
standard numeral.
3) SWRL….. Scientific
Notation (broken into
parts)
1) Perform the indicated operation and express in
simplest form:
1) -9 + 2
2) -8 – (-4)
3) 4 ⋅ (-4)
4) 52
5) -52
6) (-5)2
2) Simplify: a) 5x2(-3x7)
b)
!"! ! ! !
!! ! ! !
7) (-5)3
c) (2n4)3
SELECT HOMEWORK ANTZAS:
1) Number of zeroes matches number of exponents. Homework will be collected and
graded while we do today’s lesson. We will then review common mistakes.
TODAY’S LESSON
Scientific Notation ……. Numerical shorthandJ.
[# between 1 & 10] x 103 places you move the decimal
One Form
3,400,000
705,000
7,245,000,000
10,000
3.1 x 103
7.002 x 108
7.2 x 105
1 x 107
3.5 x 10-3
7.002 x 10-5
7.2 x 10-4
1 x 10-7
Other Form
PRACTICE
1) The distance from the earth to the moon is 180,000 miles. Express this distance as
scientific notation.
2) I am not sure what the distance is between molecules of water. But let’s just say
that they are 0.000000000081 meters apart. Express that distance in scientific
notation.
Available Internet Resources:
Khanacademy.com
My website:
http://pages.pmschools.org/sites/rlindquist/Mr._Lindquists_Math_Land/Daily_Math_Blo
g/Daily_Math_Blog.html
HOMEWORK:
Simplify each:
1) -5 + 9
2) -2 – (-7)
5) (5ab5c4)(-4a2b5c)
3) -2 ⋅ (-7)
4) -45x ÷ 9x
6) (3x3)2(5xy)
7)
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!!"
Complete the missing part of the table below:
One Form
3,400
3.9 x 1011
7,000,025,000,000
100,000
3.1 x 10-4
7.002 x 10-7
7.2 x 105
Other Form
8) Write an expression for the volume of a cube whose edge can be expressed as 3d3.
9) QUIZ REVIEW
A) Which choice has the largest value?
a) -3 + -9
b) -3 – (-9)
c) -3 ⋅ 9
1) ___________
d) -3÷(-9)
2) Simplify: 3w2 + 7w2 – w2
2) ___________
3) What is the product: (-3x3y)(4x5y2)
3) ___________
4) Reduce to lowest terms:
!!"! !
4) ___________
!! !
5) Use the order of operations to simplify:
5) ___________
8 - 4(15 – 3⋅7)
6) The rectangular prism below has the dimensions shown. In your answers, make
sure you include the correct units!
4 ft
3 ft
11 ft
a) What is the perimeter of the front face of the rectangular prism?
b) What is the area of the front face of the prism?
c) What is the volume of the prism?