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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.

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