Answers. Chapter 1. Chapter 2

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1 Answers Chapter Worksheet.,.,. 7,.,7. twenty-seven thousand, four hundred ninety-five. forty-eight thousand, two hundred thirty 7. eighty-four thousand. ninety thousand, six hundred five.,.,.,.,.,. 7,.,,,.,,, 7.,7,,. 7,,,. 7,,,,.,,,,.,,.,,. tens. hundreds. thousands. ten thousands 7..,...,. 7,. ten thousands.. thousands,,. 7.,,,.,7,, 7.,7,, 7.,7,, 7.,7,7 Rule: Add,..,, Rule: Subtract,..,,7 Rule: Subtract,. Worksheet,;,. 7,.,.,.,..., 7. 7,,,. 7,7.,.,.,.,7 7,7 Rule: Subtract,..,7,77 Rule: Add,.. 7, 7, Rule: Subtract. Worksheet. a. ; ; b. ; ; ; c. ; ; ; d. ; ; ;. a. ; ; b. ; ; ; c. ; ; ; d. ; ; ;. a. ; ; b. ; ; ;, c. ; ; ;, d. ; ; ;,. a.,7 b.,7 c. 7, d.,. a. 7, b., c.,7 d.,. a. ; b. ; 7. a. ; b. ; c. ; d. 7; 7. a. ; ; ; b. ; ; ; ; c. ; ; ; ; d. ; ; ; ; ;, e. ; ; 7; ; ; f. ; ; ; ; ;,. a., b., c. 777 d. 7 e., f., g., h., i., j., Chapter Worksheet. 7; ; ; 7; 7; Yes. ; ; ; ; ; Yes. 7,;,;,; 7,; Yes.,;,;,;,; Yes.,,, Reteach A

2 .,, 7, 7. ; 7 ; is close to, so the answer is reasonable..,;,,,;, is close to,, so the answer is reasonable..,7;,,,;,7 is close to,, so the answer is reasonable.. 7; ; ; Yes. ; 7; ; Yes. ; ; is close to, so the answer is reasonable.. ; ; is close to, so the answer is reasonable.. The answer is reasonable.. The answer is reasonable The answer is reasonable. 7. An exact answer is needed. $ $ $ $ $ left Ms. Katy has enough money to buy all these things. She will have $ left.. An exact answer is needed. 7 ml ml 7 ml They drink 7 milliliters of milk in the afternoon.. An estimate is needed. $. is about $. $. is about $ $. $. is about $. $ $ $ $ Caithlin spent about $ in all. Worksheet. ;,. ;,,. ; ;,,. ; ;,,. R ; No; No. ; Yes; Yes 7. ; Yes; Yes. The factors of are,,,,,,, and.. 7 The factors of are,,,,,, 7, and The factors of 7 are,,,,,,,,,,, and The factors of are,,,,,,,, 7,,,.. ; 7 R ; No. ; ; Yes. R ; ; No. :,, 7, :,,, 7,, The greatest common factor is 7.. :,,,,, :,,,, 7,,, The greatest common factor is. 7. :,,,,,,,,, 7:,,,,,,,,,,, 7 The greatest common factor is..,,,, The greatest common factor is. Answers

3 .,,, 7 The greatest common factor is.., 7 7,,, The greatest common factor is..,, The greatest common factor is..,,,, and 7., and 7. and 7. The factors of are and. So, is a prime number.. The factors of are,, and. So, is not a prime number. 7. The factors of are and. So, is a prime number.. The factors of are,,, and. So, is not a prime number.. The factors of are,,,,, and. So, is a composite number.. The factors of are and. So, is not a composite number.. 7 The factors of are,, 7,,, and. So, is a composite number.. The factors of are and. So, is not a composite number..,. A prime number has only different factors. has only different factors, and. So, is a prime number. has only different factors, and. So, is a prime number. Worksheet. ; ; ; ; ; ; ;,,,,,,, and. ; ; ; ; ; ; ;,,,,,,, and... 7, 7., 7,, 7 7. ) Yes, is the eighth multiple of.. 7 ) No, is not a multiple of. It cannot be divided exactly by.. ) Yes, is the twelfth multiple of.. ;., ;. :,,,,,,,,, :,,, The least common multiple is.. :,,,,, :,, 7,, The least common multiple is..,,, Reteach A

4 ., 7 7,, 7.,,, 7.,,, Worksheet. a. b. c. 7. a. b.. a. ; ; ; ; ; ; ; b. ; ; ; ; ; ; 7;. a. ; 7; ; ; 7; ; b. ; ; ; ; ; ; c. ; ; ; ; ; ; d. ; ; ; ; ; ;. a. ; ; ; ; ; ; 7 b. ; ; ; ; ; ; c. ; ; ; 7; ; ;. a. b. c. d. e. Chapter Worksheet..,.,,.,.,,.,, 7.,,.,,.,. ; ;, ; ;,,,. ; ;, ; ; ;,,,,,. ; ;,, ; ;,, ;,, 7,.,, ; ;,, ;, ; ;,, ;,,,.,, ; ;,, 7,, 7; ;,,, ; ;,, ;,7, 7 7, 7.. 7,, 7., 7,,., 7,,,.. 7,., 7, 7 7,, 7,, 7 7 7,, 7,., 7,, Answers

5 Worksheet......, 7. ; ;. ; ;. ;,. ;,. ;,., ;,. 7, ; ;. 7,, ;, ;,., ;,, ;,. 7, ;,, ;, ,,,,.. 7 7, 7,. 7, 7,. 7, 7,, 7 7,, 7, , is about,.. 7, 7 is about,.., 77 is about,..,, is about,. 7.,;,, is close to,, so the answer is reasonable. 7,,.,7;,,7 is close to,, so the answer is reasonable. 7,, 7.,;,; reasonable 7,,.,;,; reasonable 7,,,. 7,7;,; reasonable 7, 7 7, 7, 7.,;,; reasonable 7 7,,, Worksheet.,, ;, ;, ) Reteach A

6 ., ;, ;,,, ; ). ) ) ). ) ) 7. ) 7 7 ) ). ) ). ) ) Worksheet., 7 ),,. ), 7, ) 7 7. ) 7, 7, R., R 7), 7,,,. 7 is closer to than to 7. So, is about.., 7,, is closer to 7, than to,. So,, is about 7,. Answers

7 . 7,,,;,, reasonable, 7 R ) 7,,,,.,, ;, reasonable R ), 7, Worksheet. 7 7,7 They pack,7 boxes of pears in days... Sam Tony a. unit units Tony has marbles. b. R He has full boxes. c. marbles are not packed in a full box. Boys Girls a. Number of girls Number of boys and girls There are students in the school. b. There are students in each class.. computer mobile phones $7 $ a. $7 $ $, The total cost of all the items is $,. b. units $, units $, $ The computer costs $.. table chairs $,7 $ a. $,7 $ $, The total cost is $,. b. units $, unit $, $ The cost of each chair is $. $ $, The chairs cost $,. Chapter Worksheet.,7,7.,,7,. a. //. /. //// //// 7. ///. Type of Pet Dog Cat Hamster Fish Others Number. 7 groups of. cows... Sport Tally Number of Students Basketball /// Volleyball // Cycling // Soccer / Reteach A

8 . Number Shown Number of times tossed. One Two Three Four Five Six The number cube was tossed times. Country Number of Participants. USA France Kenya Singapore Russia Favorite Number of Tally Fruit Students apple //// /// pear //// // 7 orange //// apricot //// plum // 7. January. May. cm cm cm. April, June. 7 cm. February. Number of Participants School A School B School C School D School E School. dolls. more dolls than monkeys were sold. Answers. fewer airplanes than dolphins were sold. 7. more cars must be sold to equal the number of dolls sold.. 7 A total of 7 toys were sold during the month of March. Worksheet. W77, P, Q. T, S7, P. T. S7 or Y. guavas. 7.. apples Mode of Transportation Number of Students Bus Taxi Walk Cycle 7. Taxi. 7. Day Number of Green Apples Number of Red Apples Total Number of Apples Monday Tuesday Wednesday 7 Thursday 7 Friday Total. Friday. Tuesday 7. Red apples. Monday. 7 Worksheet. cents $ Jerry buys mangoes..,.,,, liters. a. Friday, Saturday b.,,, liters

9 .,,, liters The family uses, liters of water from Monday through Sunday.,, liters Each family member uses, liters of water. 7. grams. grams. centimeters. centimeters Chapter Worksheet. 7 7 ml ml The average volume of the containers is millimeters.. Total distance 7,7 km Average distance,7 km The average distance traveled is kilometers.. Total volume of milk 7, ml The total volume of milk is, milliliters.. $ $, She spent $,.. Total distance Mary walked in days 7,7 m She walked,7 meters in days cm The total length of their arms is 7 centimeters. 7. a. 7 The total score for the four tests is. b. 7 7 Joe s score for the third test is.. Washington. games. games. $ $7 $ $ He paid $ altogether.. $ $ The average price of a kilogram of nuts is $. Worksheet. a. b.... a., b. Mean m The median is meters.. 7 cm, cm, cm, cm, cm, cm Mean cm The median height is centimeters.. a. b. c. 7. a. 7 Number of Leaves b. c.,. a. 7 kg b. kg c. The range of mass lifted kg 7 kg kg. ribbons have a length of cm cm ribbons have a length of cm cm ribbons have a length of cm cm Total length of all the ribbons cm Mean cm The mean length of the ribbons is centimeters.. 7 Number of Marbles bags has marbles each bags have marbles each bags have 7 marbles each 7 bags have marbles each 7 bags have marbles each 7 Total number of marbles Mean 7 The mean number of marbles is 7. Reteach A 7

10 . 7 The range of the number of people living in the houses is.... Total number of people 7 Total number of houses Mean The mean of the number of people living in each house is.. The modes are and. Worksheet..., 7,,,, 7,,,,. Number of Rolls Stem Leaves 7 7. a. b. c. d.. a.,, b. Range lb lb lb c. pounds 7. a. b. c. d. e. cm The range of the lengths is centimeters. f. Median cm The median length of the snakes is centimeters.. a. Answers Amount of Money Stem Leaves 7 b. There is no mode as all the amounts appear the same number of times. c. Range $7 $ $7 The range of the amount of money collected is $7. d. The middle number is. So, the median amount of money collected is $. e. $ $ $ $ $ $ $ $7 $7 $ A total of $ was collected. f. $ $ The average amount of money collected by each stall is $. Worksheet. more likely. equally likely. a. more likely b. less likely. a. certain b. impossible. yellow or green; equally likely. green or yellow; less likely 7. green; impossible. a. b. a. Y Y Y Y Y Y Y Y. B B B B Y Y Y Y. B B B B B B B B Worksheet. Odd numbers:,, Number of favorable outcomes Probability of landing on an odd number The probability of landing on an odd number is.. Numbers less than :,,, Number of favorable outcomes Number of possible outcomes Probability of landing on a number less than The probability of landing on a number less than is.. Number more than :,, Number of favorable outcomes Number of possible outcomes Probability of landing on a number greater than

11 The probability of landing on a number greater than is. ; equally likely. ; less likely. 7_ ; more likely 7. _ ; impossible. ; less likely. 7_ ; more likely. ; equally likely. ; certain. _ ; impossible Worksheet. Total income of workers $, $, Income of workers $, Income of the th worker $, $, $, The income of the th worker is $,.. Cost of toys $ $ Cost of toys $ $ Cost of toys $ $ $7 Cost of the remaining toys $7 $7 $ Mean cost of the toys $ $ The mean cost of the remaining toys is $.. Total mass of the goat and sheep 7 kg kg units Total mass kg kg kg kg unit 7 kg The mass of the goat is 7 kilograms. 7 kg kg kg The mass of the sheep is kilograms.. a. Number of roses delivered to florists Number of roses delivered to Florist F Total number of roses The number of roses he delivered to Florist F is. b. Range 7 The range of the number of roses delivered is 7. c. d. The numbers ordered from least to greatest:,,,,, The middle numbers are and. Mean The median of the set of data is.. a. Longest distance m m 7 m The longest distance the javelin was thrown is 7 meters. b. Total distance 7 m m The missing data m m 7 m m 7 m 7 m The missing data is 7 meters. c. The distances ordered from least to greatest:,, 7, 7, 7 The median distance is 7 meters.. a. Total amount Amount of money deposited in months $ $ $ $ $7 $ $ $ $ $ $ $7 $7 The missing data in stem 7 is $7. b. $ c. Mean $ $ $ The median of the set of data is $. d. $7 $ $ 7. a. b. c. lb lb lb lb lb lb lb lb 7 lb lb lb lb lb lb Total weight lb Total cost $ $7 The total cost of all the watermelons is $7.. a. i. less likely ii. less likely iii. more likely iv. certain b. i. Number of favorable outcomes Number of possible outcomes Probability of drawing a red marble Reteach A

12 The probability that a red marble is drawn is _. ii. Number of favorable outcomes Number of possible outcomes Probability of drawing a red, blue, or green marble The probability that Tyron draws a red, blue, or green marble is _. Chapter Worksheet.... ;. _ ;. ; 7.. _ _. _ _ _ _ Answers

13 Worksheet _. _ _ 7. _ _ _ _ 7 7 _ 7.. _ 7 7 Reteach A

14 Worksheet. _. _ Worksheet _ fifths fifths fifths. Exercises, and 7:... Worksheet ; ; ; _. 7_ 7_. _ ; ; 7; 7. ; ;.. Exercises, and : 7. ; ;.. 7. _ sixths sixths sixths _. ;. ; ). quarters 7) 7 _ quarters quarters _. ninths ninths ninths _ Check ) Check ) R _ R 7. ; ; ; ;. ; ; ; ;. _ _ Answers

15 ... 7 _ Check There are halves in. Check 7 7 There are 7 sixths in 7 _.. _ 7 _ 7 _. 7 7_ 7. _ Check 7 7 There are ninths in... _.. 7_ Worksheet.. 7_ 7 _. _ 7 _ Reteach A

16 7. Worksheet ; 7. _ _ 7 The total weight of the fruit salad was pounds. 7 7_ 7. Sam spent of his time playing computer games.... units fruits unit unit unit. or. ;. units unit units So, of.. ; ; ;. ; ; 7; ; 7; 7.. Worksheet.. _ They bought _ 7 pounds of dried fruit altogether. 7 7 She used _ kilograms of flour altogether... Latoya kept of the pizza for her grandmother. 7 liters of mixed juice was left in the jug. 7. a. ;. Elan gives away of his marbles. b. of the marbles are left. She cuts off of the ribbon. of the ribbon is left. Answers

17 . Method 7 units $ unit $ units $ $ $ $ $ Winton had $ left. Method 7 of $ 7 $ $ 7 $ He spent $. $ $ $ Winton had $ left.. Method units m unit m units m m 7 m He planted tulips on 7 square meters of land. Method of m m, m m 7 m He planted tulips on 7 square meters of land.. Method units unit There are economy-class seats. Method of There are economy-class seats.. They eat of the pear altogether.. Mr. Lee prepared liters of orange juice altogether. Worksheet. Length of Leaves Tally Number of Leaves cm / cm / cm //// cm //// cm //// / cm /// 7 cm // cm / 7 Length of Leaves (cm). a. Bus b. Answers vary. c. Bicycle d. Answer vary. e. more children go to school by bus than by bicycle. Reteach A

4 Convert 5/8 into a percentage 62.5% Write down a fraction between 1/3 and 1/2

$4 Convert 5/8 into a percentage 62.5% Write down a fraction between 1/3 and 1/2$ / = Five sixths add seven ninths 0 / Explain why % is less than / / equals.% which is greater than % Convert / into a percentage.% Increase by %.0 Write down a fraction between / and / Decrease m by %