Chapter Review
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Write down this problem on your
COMMUNICATORBe prepared to defend your answer
if you are called on.
64 college teams play in March Madness. Single elimination, only winners proceed. Warren Buffet offers $1billion to anyone who selects in advance who the winning team will be. What are the chances Mr. Buffet will lose $1 billion?
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i-can get my questions answered & be ready for the test!
12( )32 12( )16 12( )8 12( )4 12( )2 ¿12( )63¿1
263¿ 19.2𝑥 1018
¿ 19,200,000,000,000,000,000
1 in 9.2 quintillion
12( )
1
ITEMS of BUSINESS
• Chapter 13 Test is Wed/Thurs March 18 & 19.
There are no retakes, so please study well.
• End of Term Test is Fri/Mon March 20 & 23. Also no retakes, so make sure you do the review worksheet and get questions answered.
• End of Term is March 27th.
Practice B4 Quiz
4.8 x 108
3.2 • 1.5 • 102+6
(5.1 x 105)
( 5 x 103)
= 1.02 x 105-3
= 1.02 x 102
(2.38 x 104) + (1.7 x 104)
(2.38 + 1.7) • (104) = 4.08 x 104
(3.2 x 102)(1.5 x 106)
RULE: (scalar • scalar)(10a+b) RULE: 10a-b
RULE 10a(scalar ± scalar)
Practice B4 Quiz
Rewrite in Scientific Notation:
524 x 10100
= 5.24 x 102 x 10100
= 5.24 x 10102
Have your homework out on your desk.
RE- Try this CHALLENGE question:
Simplify and write the answer in scientific notation.
(3.9 x 10652) + (7.3 x 10650)
= (390 + 7.3) x 10650
= (397.3) x 10650
= (3.973 x 102) x 10650 = 3.973 x 10652
= [(3.9 x 102) + (7.3)] x 10650
NO GROUPS TODAY.
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get my questions answered & be ready for the test!
Questions I still have:
Write them down on your 3x5 card.
9s
Chapter 13’s Big Ideas
Remember It’s worth
An extra 1% on your test!
Know WHAT gets repeated
#1
-72 = -7•7
(-7)2 = -7•-7
5c3 = 5ccc
(5c)3 = 5c•5c•5c
5c3a = 5ccca
Know anything to the zero is 1
#2
90 = 1
(-9)0 = 1
(5c)0 = 1
(blah blah blah)0= 1
6a0 = 6•1
= 6
Know what a negative power means.#3
23=1•2•2•2
2-3=1÷2÷2÷2
Repeated multiplicaton
Repeated division
=8
=123
=18
Gets Bigger
Gets Smaller
Know how to deal with a negative power#3
2-3 =
y-7 =
4y-7=
=
=
=
-3m-2
a
-3m2a-3
7a-4
-5b-3
123
1y7
4y7
-3am2
-3ma3
2
7b3
-5a4
Know product, quotient & power rules.#4
Product Rule a8a5 =a8+5 =a13
ADD exponents
Quotient Rule =a8-5 =a3
SUBTRACT exponentsa8
a5
Power to Power RuleMULTIPLY exponents
(a8)5 =a8•5 =a40
Be care when subtracting exponents.#4
=m5
m7
m-2
1 = 1m2
=b-7
b4
b-7-4
1 =b-11
1
=-5m9
m15
-5m9-15
1 =-5m-61
=a7c5
a2c11
a5c-6
1 =a5
c6
=a2c3
a9c-2
a-7c3- -2
1= c5
a7=1
b11
=-5m6
Know how to DISTRIBUTE the product & quotient rules.#5
(a6b9)3=a18b27
(3y4)2= 32y8
(23c5)7=221c35
43 3= 49
m7 m21
y4 -5= y-20
z2 z-10
= z10
y20
Know how to SIMPLIFY using all the previous rules.#6
If all else fails,MOVE NEGATIVE
EXPONENTS, EXPAND, CANCEL, & SIMPLIFY.
=a0b-3cc-1
-5b-2
=6b20a8
5b7a-9
6b20-7a8- -9
5= 6b13a17
5
=a0b2c-5b3c1 = 1•bbc
-5bbbc 1
-5b
Recognize Scientific Notation.
#7
3.9 x 108 vs. .39 x 108
3.9 x 100
vs. 3.9 x 5-83.9 x 10-8
vs. 3.9
X
X x 100
Make a wish.Mark the dot.
Then count right.
Go from Standard Notationto Scientific Notation
#8
7,581 = 7.581 x 103
+3
Make a wish.Mark the dot.
Then count left.
Go from Standard Notationto Scientific Notation
#8
.7581 = 7.581 x 10-1
-1
Go from Scientific to Standard
#8
= 61000000.
MOVE the DECIMALthe direction the exponent tells you to
6.1 x 107
6.1 x 10-7 = .00000061
+7
-7
Multiply, Divide & AddScientific Numbers
#9
4.8 x 108
3.2 • 1.5 • 102+6
(5.1 x 105)
( 5 x 103)
= 1.02 x 105-3
= 1.02 x 102
(2.38 x 104) + (1.7 x 104)
(2.38 + 1.7) • (104) = 4.08 x 104
(3.2 x 102)(1.5 x 106)
RULE: (scalar • scalar)(10a+b) RULE: 10a-b
RULE 10a(scalar ± scalar)
Practice Test
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