Mscc8 Ws 1000a Docx Blue Solutions 10-PDF Free Download

mscc8 ws 1000a docx blue solutions 10

2019 | 2 views | 0 downloads | 32 Pages | 920.45 KB

* + , - ( . / & # 0 ( 1 # % " ( + 2 3 & *! " # $ % & ' ( ) * + * , & ' * - . / 0 1 * 2 / 0 % 3 & 3 ' 4 * 2 2 ! ... ! " # $ % & ' ( ) * + * , & ' * - . / 0 1 * 2 / 0 % ...




Chapter 10
2 a The large cube is made up of 3 3 3 small cubes 2 0 3 0 3 0 3 0 3 x x
Because each small cube contains 3 the total amount Because 0 3 is used as a factor 4 times its exponent is 4
of money in the large cube is 3 3 3 3 34 Because x is used as a factor 2 times its exponent is 2
So 0 3 0 3 0 3 0 3 x x 0 3 x 2
There is 81 in the large cube
3 54 5 5 5 5 625
3 a 1026 100 000 000 000 000 000 000 000 000
The diameter of the observable universe is 1 1 1 1 1
100 000 000 000 000 000 000 000 000 meters 6 6 6 6 216
b 1021 1 000 000 000 000 000 000 000
5 33 27 27 27 1 1
The diameter of the Milky Way Galaxy is
1 000 000 000 000 000 000 000 meters
6 9 25 0 5 9 32 0 5 9 16 7
This can be written as one sextillion meters
c 1016 10 000 000 000 000 000 7 The diameter is 1 8 meters so the radius is 0 9 meter
The diameter of the solar system is Inner sphere V pr
10 000 000 000 000 000 meters 3
This can be written as ten quadrillion meters
d 107 10 000 000
The diameter of Earth is 10 000 000 meters 3
This can be written as ten million meters 0 972p
e 106 1 000 000 9
Outer sphere p 4 5p
The length of the Lake Erie shoreline is 2
1 000 000 meters The volume of the inflated space is
This can be written as one million meters 4 5p 0 972p 3 528p or about 11 08 cubic meters
f 105 100 000 10 1 Exercises pp 414 415
The width of Lake Erie is 100 000 meters Vocabulary and Concept Check
This can be written as one hundred thousand meters
1 34 is the negative of 34 so the base is 3 the exponent
is 4 and its value is 81 3 has a base of 3 an
4 Wives 71
Sacks 7 7 7 2 exponent of 4 and a value of 81
Cats 7 7 7 73 2 The second one does not belong because it is an incorrect
statement about the expression The power is the entire
Kits 7 7 7 7 7 4
expression 53
5 You can use exponents to write the product of repeated
Practice and Problem Solving
Sample answer The formula for the volume of a cube
V s 3 is an example of how exponents are used in real Because 3 is used as a factor 4 times the exponent is 4
life Exponents are also used in measuring astronomical So 3 3 3 3 34
10 1 On Your Own pp 412 413
Because 6 is used as a factor 2 times the exponent is 2
1 So 6 6 6
Because is used as a factor 5 times its exponent is 5
1 1 1 1 1 1
4 4 4 4 4 4
302 Big Ideas Math Blue Copyright Big Ideas Learning LLC
Worked Out Solutions All rights reserved
Chapter 10
1 1 1 17 The negative sign is not part of the base
2 2 2 62 6 6 36
Because is used as a factor 3 times the exponent is 3 18 675
So 5 5 9 3
2 2 2 2 5 5 3 3 3
1 1 1 The prime factorization of 675 is 5 5 3 3 3
3 3 3 or 52 33
Because is used as a factor 3 times the exponent is 3 1 1 1 1
3 3 3 3 Because is used as a factor 4 times the exponent is 4
7 p p p x x x x 1 1 1 1 1
Because p is used as a factor 3 times the exponent is 3 4 4 4 4 4
Because x is used as a factor 4 times the exponent is 4
So p p p x x x x p 3 x 4 20 The largest doll is 12 inches and the other 3 are the
8 4 4 4 y y 7
height of the next larger doll Use as a factor 3 times
Because 4 is used as a factor 3 times the exponent is 3 So an expression for the height of the smallest doll is
Because y is used as a factor 2 times the exponent is 2 7 7 7 7
So 4 4 4 y y 4 y
3 2 10 10 10 10
9 6 4 6 4 6 4 6 4 b b b 12 12 4 116
Because 6 4 is used as a factor 4 times the exponent is 4
Because b is used as a factor 3 times the exponent is 3 The height of the smallest doll is 4 116 inches
So 6 4 6 4 6 4 6 4 b b b 6 4 b3
21 5 3 23 5 3 8 5 24 29
10 t t t t t
2 7 9 2 63 65
Because t is used as a factor 5 times the exponent is 5
So t t t t t t
23 132 12 2 5 169 144 5 25 5 5
11 52 5 5 25
4 6 32 12 64 6 9
12 11 11 11 11 1331
1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 5
2 2 2 2 2 2 2 64
7 53 12 7 125 12 132 66 66
12 12 12 144
1 1 1 1 1 16
1 1 1 1 1 2 4 8 16 8 1
9 9 9 9 729
Copyright Big Ideas Learning LLC Big Ideas Math Blue 303
All rights reserved Worked Out Solutions
Chapter 10
27 h 1 2 Section 10 2
10 2 Activity pp 416 417
2h 1 21 1 1 22 1 3
2h 1 21 1 20 1 2 2 1 21 2 Product
Multiplication Form
h 3 4 22 24 2 2 2 2 2 2 26
2h 1 23 1 7 24 1 15 3 3 3
2h 1 2 3 1 2 2 4 2 2 8 3
73 7 2 7 7 7 7 7 75
h 5 5 1 5 1 5 1 5 1
5 11 5 16 5 17
5 1 5 1 5 1
2h 1 25 1 24 16
You should choose getting paid 2 h 1 dollars because 10 10 10 10
103 105 108
when you work more than 1 hour you will get paid more 10 10 10 10
than the other option
28 a C 100 0 99988 100 0 99988
t 4 5 5 10
99 95 1 1 2 2 2 2 2 1
After 4 years the amount of carbon 14 remaining is 2 2 2
about 99 95 grams
amount remaining b To find the product of two powers with the same base
b percent remaining
original amount add their exponents
99 95 am an am n
c 2 2 24 22 4 26
After 4 years 99 95 of the carbon 14 remains
29 a To travel from A 440 to A it takes 12 notes 73 7 2 73 2 75
b F 440 1 0595
440 1 0595
880 5 11 5 16 5 11 6 5 17
The frequency of A is about 880 vibrations per
103 105 103 5 108
c Sample answer For a 12 note increase the frequency
5 5 5 5 10
approximately doubles 1 1 1 1
Fair Game Review
Using the rule to simplify the products results in the
30 The statement 8 x x 8 represents the
values in the third column of the table in part a
Commutative Property of Multiplication
31 The statement 2 10 x 2 10 x represents the
Associative Property of Multiplication
32 The statement 3 x 1 3 x represents the Identity
5 17 89 741 1
Property of Multiplication
18 27 108 100 000 000
304 Big Ideas Math Blue Copyright Big Ideas Learning LLC
Worked Out Solutions All rights reserved
Chapter 10
32 10 2 On Your Own p 419
2 a 3 3 3 3 3 3 36
1 62 64 62 4 66
22 2 2 2 2 2 2 2 2 28
c 7 7 7 7 7 7 7 6
d y y y y y y y y y y 9
3 z z12 z1 12 z13
e x x x x x x x x x8
4 44 3 412
General Rule a m a m n
5 y 2 4 y8
2 3 2 3 2 3 2 3 2 3
2 5 2 5 2 5 2 2 6 4 3 2
5 4 5 4 5 4 5 4 53 43
7 54 y 4 625 y 4
6a 6a 6a 6a 6a 64 a 4
3 x 3 x 3 x 3 x
9 0 52 m 2 n 2 0 25m 2 n 2
General Rule a b
Total number Number of bytes Number of
4 a For 3 5 2 x 2 y 23 25 8 32 256 10
of bytes in a gigabyte gigabytes
There are 256 pennies in the stack 230 16
b 2 x 2 y 32 230 24
2 x y 32 230 4
The stacks that have 32 pennies are the locations in The computer has 234 bytes of free storage space
which the sum x y equals 5
10 2 Exercises pp 420 421
Vocabulary and Concept Check
1 4 5 1 Use the Product of Powers Property to multiply powers
2 3 5 with the same base
3 2 5 2 no The bases are not the same
4 1 5 Practice and Problem Solving
3 32 32 32 2 34
The locations 1 4 2 3 3 2 and 4 1 have
32 pennies in their stacks 4 810 84 810 4 814
c The tallest stack is located at 8 8
5 7 5 7 12
2 2 2 2 256 256 65 536
The value of a penny is 0 01 So there is 6 a 3 a 3 a 3 3 a 6
0 01 65 536 655 36 in the tallest stack
7 h 6 h h 6 1 h 7
d From part c the tallest stack has 65 536 pennies
So the height of the tallest stack is 2 6 2 6 8
65 536 0 06 3932 16 inches 2 2 2 2
5 If the same pattern holds true for every example you
encounter then you can use inductive reasoning to write
a general rule stating that the pattern is always true
Copyright Big Ideas Learning LLC Big Ideas Math Blue 305
All rights reserved Worked Out Solutions
Chapter 10
8 9 8 9 17 4 4
5 5 5 5 1 1 1
9 26 16 x 16 x 4 16 x 4 x 4
7 7 7 7 2 2 16
10 2 9 2 9
27 52 53 52 52 53 2
11 54 3 512
12 b12 3 b36
13 3 83 4 3 812 28 highest altitude 3 lowest altitude
The highest altitude of an altocumulus cloud is about
15 The bases should not be multiplied
52 59 52 9 511
16 You should multiply the exponents instead of adding 29 a V p abc
r 6 4 r 24 4
17 63 g 3 216 g 3
3v 3 v5 243v5
2 2 The volume of the egg is 16p 50 27 cubic inches
5 5 25 b a 2 22
1 24 m 4 2 0736m 4
21 r12t12 V p abc
p 22 22 32
22 p p3 p3 3
23 No They are not equal
32 33 35 243 but 32 33 9 27 36 p 24 9
24 a V s 3 3w
An expression for the volume of the case is 3w
b 33 w3 27 w3
The volume of the egg is 192p 603 19 cubic inches
Because 16p 12 192p the volume is 12 times
25 2 4 25 22 24 5 2 2 2 greater than the volume in part a
306 Big Ideas Math Blue Copyright Big Ideas Learning LLC
Worked Out Solutions All rights reserved
Chapter 10
30 Because the side lengths of the base increase by 50 or Section 10 3
0 5 the lengths increase by a factor of 150 of 1 or 1 5
10 3 Activity pp 422 423
1 Quotient Repeated Multiplication Form Power
1 24 2 2 2 2
1 52 b 2 h
2 25 b 2 h
0 75b 2 h or b 2 h
Total pieces
Amount delivered Number of
of mail each second seconds 1 1
7 7 7 7 74
3 5 4 2 2 73
216 34 54 1 1 1
The United States Postal Service delivers 2 16
4 4 1 1 1 1 1
pieces of mail in 6 days 8 5 8 5 8 5 8 5 8 5
32 a 25 2 x 256 8 59 8 5 8 5 8 5 8 5
5 x 8 8 56 8 5 8 5 8 5 8 5
25 x 28 8 5 8 5
Because 5 3 8 x 3 1 1
2 x 1 1 1 1 1
b 10 10 10 10 10
3 3 729 10 8
10 10 10 103
10 10 10 10 10
3 3 3 1 1 1 1 1
3 3 3 3 3 3 3 3
Because 2 4 6 x 4 3 3 3 3 3 3 38
Fair Game Review 1 1 1 1
4 4 4 5 5 5 25 1 1 1 1 1
33 4 34 25
4 1 5 1 5 5 5 5 5
2 3 3 8 6 6 6 5 5 5 5 5
35 3 36 6 1 1 1 1 1
n 2 180 8 2 180 114 11 11 11 11
n 8 111 11
Each angle measures 135
Copyright Big Ideas Learning LLC Big Ideas Math Blue 307
All rights reserved Worked Out Solutions
Chapter 10
b To find the quotient of two powers with the same 10 3 On Your Own pp 424 425
base subtract their exponents
am 1 9 7 4 93
c 24 2 22 2 4 26 5 4 21 4 2
8 59 6 8 53
8 56 215 215 215
8 5 3 5 8 215 8 27
312 6 8 d 5 1 d 9 8 d 4 d 1 d 4 1 d 5
312 4 38 d d
2 7 59 4 55 2 55 53 58
People per Population in 2030
114 1 113 square kilometer Land area
Using the rule to simplify the quotients results in the
values in the third column of the table in part a 217
2 Larger 2
Volume Volume
Volume 2 25 221 17
of Smaller of Larger Answer
Cube Cube Smaller 2 25 24
There will be about 36 people per square kilometer in
Alabama in 2030
b 33 36 33
33 10 3 Exercises pp 426 427
62 Vocabulary and Concept Check
c 63 66 63
63 1 To divide powers means to divide out the common
106 factors of the numerator and denominator To divide
103 powers with the same base subtract their exponents
The volume of the smaller cube equals the number of 2 The third quotient does not belong because it is a quotient
smaller cubes that will fit inside the larger cube of powers with different bases whereas the other three
are quotients of powers with the same bases
3 To divide two powers that have the same base subtract
their exponents Practice and Problem Solving
Sample answer 25 3 22 3 610 4 66 4 89 7 82
7 9 1 7 8 3
71 5 6 4 55 3 4 52
308 Big Ideas Math Blue Copyright Big Ideas Learning LLC
Worked Out Solutions All rights reserved
Chapter 10
644 63 w 63
8 644 3 641 64 24 2 w 63 2 w 61 w 6 w
5 a 3 b 4 54 b 4 54
a 3 b 4 2 5 4 1
10 a 3 b 2 53
7 9 125a 3b 2
512 c10 d 2 512 c10
11 59 c9 59 c
512 9 c10 9 d 2
12 p 11 7 p 4 13 b 24 11 b13
p7 b11 125cd 2
n18 x15 y 9 x15 y9
14 n18 7 n11 27 8 3
8 3 x15 8 y 9 3 x 7 y 6
n7 x y x y
15 When dividing powers you subtract exponents instead of m10 n 7 m10 n 7
28 1 6 m10 1 n 7 6 m9 n1 m9 n
dividing them mn1 6
615 5 610 24
65 29 a 24 2 22 4
75 73 75 3 78 MP3 Player D has 22 4 times more memory than
2 2 78 2 7 6
7 7 7 MP3 Player B
219 25 219 5 2 24 270
17 12 3 15 224 15 29 240
Price dollars
1 1 0 4 8 12 16 20 24 28 32 36 x
M emory GB
no The graph is not a line so memory and price do
not show a linear relationship
19 18 4 22 p 30 22 p 8
p 18 p 4 p p 30 a Sample answer To satisfy the equation the difference
m n must equal 2 When m 4 and n 2 the
c 22 c 22 c 22 difference m n 4 2 is 2
20 8 8 9 17 c 22 17 c 5
b infinitely many solutions Any two numbers that
13 17 satisfy the equation m n 2 are solutions
21 11 k 13 5 k 17 11 k 8 k 6 k 8 6 k 14
22 1014 6 108
The sound of a jet at takeoff is 108 times more intense
than the sound of a normal conversation
x 5 x 48 5 x 43 64 x
Copyright Big Ideas Learning LLC Big Ideas Math Blue 309
All rights reserved Worked Out Solutions
Chapter 10
Number of Number of stars in the Universe Section 10 4
galaxies Number of stars in the Milky Way Galaxy 10 4 Activity pp 428 429
10 1010 Quotient of
Quotient Power
24 Powers Property
24 53 3 50
1024 11 62 2 60
There are about 1013 galaxies in the Universe
83 x 2 x 1 89
83 x 2 x 1 89 53 125 62 36
8 x 1 89 5 125 6 36 81
For the equation to be true the value of x 1 must 4
equal 9 1 They are all equal to 1
c Because all the expressions in part b simplify to 1
1 1 you can equate the powers in the last column of the
x 10 table in part a to 1 So based on these results you
So x 10 can conclude that a 0 1 where a 0
Fair Game Review 2 a
Product of
33 4 5 4 5 9 Product Power
Powers Property
34 23 15 23 15 8 30 3 4 30 4 34
35 33 28 33 28 61 82 80 82 0 82
36 18 22 18 22 4 2 2 2 2
37 B 2 x x 90 1 1 1 1
3 x 90 3 3 3 3
x 30 b yes Each product is equal to the value of the number
with the nonzero exponent This implies that the
numbers with the zero exponents are equal to 1 So
based on these results you can conclude that a 0 1
310 Big Ideas Math Blue Copyright Big Ideas Learning LLC
Worked Out Solutions All rights reserved
Chapter 10
3 a 45 4 3 45 3 42
Product of 6 4 2 2 40 1
Product Power 42 42 42
Powers Property
5 3 53 5 3 3 50 7 8x 2
62 6 2 62 2 60 1 1
8 b 0 b 10 1 10
9 z6 9 z 3
15 z 9 15 15 15 z 3
b They are all equal to 1 1
10 3600 5 5 3600
c From the Multiplicative Inverse Property you know
that the product of a number and its reciprocal is 1 1
d Because each product is equal 1 you can conclude
that the numbers in the product are reciprocals So 3600
a n is equal to the reciprocal of a n or n
4 a The exponents decrease by 1 1 152
ones 10 So 1 152 liters of water leak from the faucet in 1 hour
tenths 10 10 4 Exercises pp 432 433
hundredths 10 2 Vocabulary and Concept Check
thousandths 10 3 1 no For any nonzero number a the value of a 0 1
b 3452 867
3 103 4 102 5 101 2 100 2 Rewrite 10 3 as or
8 10 1 6 10 2 7 10 3
3 1000 4 100 5 10 2 1 3 The numbers in order from least to greatest are 5 5 50
1 1 1 and 54
10 100 1000
3000 400 50 2 0 8 0 06 0 007 4 The last statement does not belong
5 Any nonzero number with an exponent of 0 is equal to 1
Any nonzero number with a negative integer exponent 1 1 1
can be written as the reciprocal of the nonzero number 3 3 3
with its positive integer exponent
Practice and Problem Solving
10 4 On Your Own pp 430 431
1 1 1 1 5 87 7 80 1
6 50 53 50 3 53 125
3 3 8 94 9 4 9 90 1
1 1 1 1 1 1 1 1 1
5 4 7 7 4 3 9 6 2 10 1580 1
5 5 125 62 36
Copyright Big Ideas Learning LLC Big Ideas Math Blue 311
All rights reserved Worked Out Solutions
Chapter 10
43 1 1 8 x3 8 4
11 4 3 5 4 2 2 24 x 3 9 4 x 6 6
45 4 16 2 x9 2 x
3 1 1 25 3d 4 4d 4 3 4 d 4 d 4
3 12 d 4 4
13 4 2 4 5 4 5 12 1
1 26 m 2 n 3 n3 2
1 3 2 k 0 w0 3 2 1 1 w6 w6
1 1 28 Sample answer
14 3 3 3 2 3 3 2 3 5
1 1 1 1 1 1 1 2 16 4 16
15 3 3 6 3
5 3 5 6 5 56 5 5 125
decimeter 10 1 m
29 10 1 3 10 2 100
millimeter 10 3 m
16 There are 100 millimeters in a decimeter
1 5 2 1 5 4 2 4
1 5 2 centimeter 10 2 m
30 10 2 6 10 4 10 000
micrometer 10 6 m
1 5 There are 10 000 micrometers in a centimeter
millimeter 10 3 m
31 10 3 9 10 6 1 000 000
1 nanometer 10 9 m
17 The negative sign goes with the exponent not the base There are 1 000 000 nanometers in a millimeter
43 64 micrometer 10 m
1000 grams 1 gram of sand 100
18 10 kilograms 10 6
1 kilogram 10 3 gram
104 103 1 000 000
10 7 There are 1 000 000 micrometers in a meter
There are about 107 or 10 000 000 grains of sand 1 10 1
33 a 10 micrometer
10 000 10 000 1000
19 For any nonzero number a a 0 1 So 20 1 and
100 1 10 6
1000 1000 106
20 6 y 4 21 8 2 a 7 1000 1 000 000
5b 2 1 000 000 000
22 9 c 3 4 9 c 7 23 5b 2 3 5b
c 4 b 3 0 000000001 or 10 9
The length of the virus is 10 9 meter
312 Big Ideas Math Blue Copyright Big Ideas Learning LLC
Worked Out Solutions All rights reserved
Chapter 10
b 1 nanometer 10 9 meter Study Help
1 Available at BigIdeasMath com
Quiz 10 1 10 4
meter 1 5 5 5 5
1 000 000 000
0 000000001 meter Because 5 is used as a factor 4 times the exponent is 4
The answer to part a is equal to one nanometer So 5 5 5 5 5
34 a 500 103 mm 3 2 7 7 m m m
Because 7 is used as a factor 2 times the exponent is 2
The donation is 500 103 cubic millimeters Because m is used as a factor 3 times the exponent is 3
500 103 104 500 103 4 So 7 7 m m m 7 2 m3
500 10 000 000 3 54 5 5 5 5 625
5 000 000 000
2 2 2 2 2 2 2 64
There are about five billion white blood cells in the
4 8 4 8 4 8 4 8 1
b 500 10 5 10
500 5 10 103 6
2500 103 6 54 1 1
6 5 4 7 5 3 3
2500 109 57 5 125
2500 1 000 000 000
7 38 3 38 1 39
2 500 000 000 000
There are about two trillion five hundred billion red 8 a5 3 a15
blood cells in the donation
c The ratio of red blood cells to white blood cells is 3c
9 34 c 4 81c 4
2 500 000 000 000 500
There are about 500
5 000 000 000 1 2 2
times more red blood cells than white blood cells 10 p p2 p
35 Sample answer Write the power as 1 divided by the
power and use a negative exponent a n a n
1 11 87 4 83
1 63 6 7 63 7 610
36 If you substitute 0 for a you get Zero raised to any 12 2 610 2 68
nonzero exponent is 0 Because division by 0 is
undefined the rule for negative exponents does not p 15 p 15 p 15
apply when a 0 13 3 9 12 p 15 12 p 3
Fair Game Review t13 t 8
14 6 t13 5 t 8 6 t 8 t 2 t 8 2 t10
37 103 106 103 6 109 t5 t
38 102 10 102 1 103 8
39 108 4 10 4 12 x 5 3
10 4 16 3 x 5 7 3 x 2 2
40 D A stem and leaf plot orders numerical data and shows
how they are distributed
Copyright Big Ideas Learning LLC Big Ideas Math Blue 313
All rights reserved Worked Out Solutions
Chapter 10
1000 103 4 A 2 100 2
17 a 1000 10 6 6
103 6 10 3
10 106 The unit that is most appropriate for a door height of 2
The length of the dinoflagellate is 10 3 meter is meters
1000 mm 1m B 1 6 104 16 000
1000 1000 The unit that is most appropriate for a volcano height
1 of 16 000 is feet
1 mm m 0 001 m
1000 C 1 4 102 140
So the length of the dinoflagellate is 1 millimeter The unit that is most appropriate for a pen length of
140 is millimeters
18 107 2 105 D 6 3 10 1 0 63
The unit that is most appropriate for a steel ball
An earthquake of magnitude 8 0 is 105 times stronger
bearing diameter of 0 63 is centimeters
than an earthquake of magnitude 3 0
E 7 5 101 75
Section 10 5 The unit that is most appropriate for a beach ball
10 5 Activity pp 436 437 circumference of 75 is inches
1 2 000 000 000 5 Numbers that are written in scientific notation are
3 000 000 000
represented by the product of a factor that is at least 1 and
6 000 000 000 000 000 000
less than 10 and a power of 10 This type of notation is
6 0 is a factor of 6 000 000 000 000 000 000 and E 18 called scientific notation because it is used in scientific
represents how many places the decimal point is from fields of study Scientific notation is important because
the number in standard form you can use the notation to easily write very large or very
small numbers
The calculator did not show the answer in standard form
because the calculator screen is not large enough to 10 5 On Your Own p 439
display the number
1 The factor is greater than 10 So the number 12 104
2 0 000000002 is not written in scientific notation
0 000000003
0 000000000000000006 2 6 107 60 000 000
6 0 is a factor of 0 000000000000000006 and E 18 7
represents how many places the decimal point is from
The number in standard form is 60 000 000
the number in standard form
3 A This picture appears to have been taken about 3 9 9 10 5 0 000099
1 centimeter or 0 01 meter away from the frog 5
so this picture matches with 10 2 meter The number in standard form is 0 000099
B This picture appears to have been taken about
100 meters away from the frog so this picture 4 1 285 10 4 12 850
matches with 102 meters 4
C This picture appears to have been taken very far away The number in standard form is 12 850
from the frog about 100 000 meters So this picture
matches with 105 meters 5 Water 1 0 103 1000
D This picture appears to have been taken about Lead 1 14 104 11 400
10 centimeters or 0 1 meter away from the frog
Lead is denser than water so it will sink
so this picture matches with 10 1 meter
E This picture appears to have been taken very close to 6 1 4 10 5 75 0 000014 75 0 00105
the frog about 0 00001 meter away So this picture
The fleas consume about 0 00105 liter or 1 05 milliliters
matches with 10 5 meter of blood per day
F This picture appears to have been taken about 1 meter
away from the frog So this picture matches with
314 Big Ideas Math Blue Copyright Big Ideas Learning LLC
Worked Out Solutions All rights reserved
Chapter 10
10 5 Exercises pp 440 441 16 8 10 3 0 008
Vocabulary and Concept Check 3
1 Scientific notation uses a factor of greater than or equal The number in standard form is 0 008
to one but less than 10 multiplied by a power of 10
A number in standard form is written out with all the 17 5 102 500
zeros and place values included 2
2 The expression 10 9 2 13 does not belong because it is The number in standard form is 500
not written in scientific notation the factor is not less
than 10 and the power is not a power of 10 whereas the 18 2 7 10 4 0 00027
other three expressions are written in scientific notation 4
Practice and Problem Solving The number in standard form is 0 00027
3 5 600 000 000 000
19 4 4 10 5 0 000044
4 0 00000000021 5
5 87 300 000 000 000 000
The number in standard form is 0 000044
6 The factor is greater than or equal to 1 and less than 10 20 2 1 103 2100
The power of 10 has an integer exponent So the number 3
1 8 109 is written in scientific notation The number in standard form is 2100
7 The factor is greater than or equal to 1 and less than 10
21 1 66 109 1 660 000 000
The power of 10 has an integer exponent So the number
3 45 1014 is written in scientific notation 9
The number in standard form is 1 660 000 000
8 The factor is less than 1 So the number 0 26 10 25 is
not written in scientific notation 22 3 85 10 8 0 0000000385
9 The factor is greater than 10 So the number 10 5 1012
is not written in scientific notation The number in standard form is 0 0000000385
23 9 725 106 9 725 000
10 The factor is greater than 10 So the number 46 10 17
is not written in scientific notation 6
The number in standard form is 9 725 000
11 The factor is greater than or equal to 1 and less than 10
The power of 10 has an integer exponent So the number 24 Because the exponent is negative the decimal point
5 10 19 is written in scientific notation should be moved to the left not to the right
12 The factor is greater than or equal to 1 and less than 10 4 1 10 6 0 0000041
The power of 10 has an integer exponent So the number 6
7 814 10 36 is written in scientific notation The number in standard form is 0 0000041
13 The factor is less than 1 So the number 0 999 1042 is 25 a 2 7 108 3 270 000 000 3 810 000 000
not written in scientific notation There are 810 000 000 platelets in 3 milliliters of
14 The factor is greater than or equal to 1 and less than 10
The power of 10 has an integer exponent So the number b 5 L 5000 mL
6 022 1023 is written in scientific notation
2 7 108 5000 270 000 000 5000
15 7 107 70 000 000 1 350 000 000 000
7 There are about 1 350 000 000 000 platelets in an
adult body
The number in standard form is 70 000 000
Copyright Big Ideas Learning LLC Big Ideas Math Blue 315
All rights reserved Worked Out Solutions


Related Books

PRACTICAL EXPERIENCE OF THE EFQM MODEL IMPLEMENTATION IN ...

PRACTICAL EXPERIENCE OF THE EFQM MODEL IMPLEMENTATION IN

b) assessment by applying a questionnaire method, c) assessment by means of the RADAR card. The RADAR card is used for application of the EFQM model. The RADAR card was created in 1999 and it represents a demanding but also objective self-assessment tool. The term RADAR stands for Results Approach Deployment Assessment & Review.

CT Scan Parameters and Radiation Dose: Practical Advice ...

CT Scan Parameters and Radiation Dose Practical Advice

CT Scan Parameters and Radiation Dose: Practical Advice for Radiologists Siva P. Raman, MD, Mahadevappa Mahesh, MS, PhD, Robert V. Blasko, BS, RT(R)(CT), Elliot K ...

10 - EFQM Rollout Strategy

10 EFQM Rollout Strategy

validate and extend our findings through the RADAR assessment. However, the development and roll out of the change programme in Quarter 4 2016 precluded this. 9 Now that the majority of the programme relating to the relocation of work has been completed we are in a position to undertake the next part of the EFQM assessment, the RADAR assessment.

AN OVERVIEW OF THE EFQM EXCELLENCE MODEL

AN OVERVIEW OF THE EFQM EXCELLENCE MODEL

Overview of the EFQM Excellence Model 6 The RADAR The RADAR logic is a dynamic assessment framework and powerful management tool that provides a structured approach to questioning the performance of an organisation. At the highest level Radar logic states that an organisation should:

Datasheet for FibeAir IP-20G (ANSI)

Datasheet for FibeAir IP 20G ANSI

Radio Specifications Capacity and Maximum Number of DS1s Notes: For full specifications, please contact your Ceragon sales representative. Capacity (Mbps) Capacity De-Dup Max. No. of DS1s Capacity (Mbps) Capacity De-Dup Max. No. of DS1s Capacity (Mbps) Capacity De-Dup Max. No. of DS1s Modulation 5 MHz 10 MHz 14 MHz 20 MHz

Datasheet for FibeAir IP-20G (ETSI)

Datasheet for FibeAir IP 20G ETSI

Page 5 of 7 Radio Specifications Capacity and Maximum Number of E1s Notes: For full specifications, please contact your Ceragon sales representative.

Datasheet for FibeAir IP-20C (ETSI) - Connect Data

Datasheet for FibeAir IP 20C ETSI Connect Data

Radio Specifications Capacity Notes: For full specifications, please contact your Ceragon sales representative. Capacity (Mbps) Capacity De-Dup Capacity (Mbps) Capacity De-Dup Capacity (Mbps) Capacity De-Dup Modulation 3.5 MHz 7 MHz 14 MHz QPSK 3-4 4-13 8-10 9-32 19-24 20-74 8 PSK - - 13 -16 13 -48 29 -36 31 -112

ANCDS Hardin Notes

ANCDS Hardin Notes

Kathryn Hardin, MA CCC -SLP, CBIST University of Colorado School of Medicine Disclosures Financial: Ms. Hardin is a salaried faculty member at the University of Colorado School of Medicine. Her work at the Marcus Institute for Brain Health is privately funded through a gift from the Marcus Foundation to the University of Colorado.

Mind/Body Awareness Writing Exercises

Mind Body Awareness Writing Exercises

honest and brave in your mind/body exploration through this writing process. If you approach this process with curiosity and openness, you will discover much more about yourself and experience far more benefit. In writing, describe your authentic feelings and let go of trying to ?do it right.? Allow the emotions to run freely in your writing.

MANAGEMENT CASE STUDY NOVEMBER 2018 EXAM ANSWERS Variant 5

MANAGEMENT CASE STUDY NOVEMBER 2018 EXAM ANSWERS Variant 5

MANAGEMENT CASE STUDY NOVEMBER 2018 EXAM ANSWERS Variant 5 receive credit. Section 1 Capital rationing The lack of finance is an example of capital rationing. Grapple has Z$30m and the investment projects approved by the board require more cash than this. The projects are not mutually exclusive. This means that any of them may be undertaken at the same time. Project 4 should not be undertaken ...