Chapter 2. 2a

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0 Marshall Cavendish Education Pte Ltd Chapter a,000,000 + 00,000 + 0,000 +,000 + 00 + 0 + ; Three million, eight hundred forty-five thousand, nine hundred thirty-two b hundred thousands = 00,000 ten

1 0 Marshall Cavendish Education Pte Ltd Chapter a,000, , ,000 +, ; Three million, eight hundred forty-five thousand, nine hundred thirty-two b hundred thousands = 00,000 ten thousands = 0,000 thousands =,000 0 hundreds = 0 ten = 0 ones =,000, , ,000 +, Seven million, eight hundred ninety-two thousand, sixteen c,0,0 <,0,0 d,,00,,00,,0,,00,0,,0, Answers will vary e 0,00 0,00; The numbers are increasing by 00,000.,00,00,00,00; The numbers are decreasing by 0,000.,00,00; The numbers are increasing by 00. f,0,0; The numbers are increasing by,00. 0,0,; The numbers are decreasing by,00. Answers will vary Answers will vary g,000,000;,000 0,000 +,000;,000,000,000;,000,000,000,000; 0,000,000; 0,000,000 h $0, $00, $,000, $,000, $,000, $,000, $,000, $,000, $,000, $,000, $,000, $,000, $,0,000 th $,0,000 i Answers will vary Chapter a Singapore Math Fact Fluency Grade

2 b $, No, Jacqueline needs $ more. $,00 months c d? $,0 Number of bricks in each bag =,0 = 0 There were 0 bricks in each bag. White House Sydney Opera House $, Number of bricks Mark used for the White House =,0 =,0 Number of bricks Mark used for the Sydney Opera House =,0 =,0 Mark used,0 bricks for the White House, and,0 bricks for the Sydney Opera House.,0;,00;,000 0,0; 0,00;,0,000??,0?,0 e 00 = ( ) 00 = 00 =,00 So, 00 =,00 00 = ( ) 00 = 00 =,00 So, 00 =, = (0 ) 00 = = 0,000 So, 0 00 = 0,000 f 0,0 pennies $0.0 0,00 pennies $0 Total amount raised = $0.0 + $0 + $00. = $,00. Number of paperback books = $,00. $0 = 00. The fifth-grade classes can buy 00 paperback books altogether. g 0 = (0 0) = 00 = 00 0 = (0 0 0) =,000 =,000 0 = (0 0) = 00 =,00 0 = (0 0 0) =,000 =,000 0 = (0 0) = 00 =, = 0 (0 0 0) = 0,000 = 0,000 00,00,000 0,000 0 Marshall Cavendish Education Pte Ltd Singapore Math Fact Fluency Grade

h,00,00 0,00 k,,,0,,00 l,000 0 Marshall Cavendish Education Pte Ltd i,000 0,000,000 0; ; 00 ; 0; Number of yards Sahil walks each day =,00 =,00 Number of yards Sahil walks each way =,00 = 0 Sahil

3 h,00,00 0,00 k,,,0,,00 l,000 0 Marshall Cavendish Education Pte Ltd i,000 0,000,000 0; ; 00 ; 0; Number of yards Sahil walks each day =,00 =,00 Number of yards Sahil walks each way =,00 = 0 Sahil walks 0 yd each way. Number of days =,000,000 0,000 = 00 Maria will take 00 days. m There will only be 00,000 people telling the story instead of,000,000 people. There will only be,000,000 people hearing the story instead of 0 (or 0,000,000) people. j = ( 0) + ( ) =,0 + =, = ( 0) + ( ) =,0 + =,,, Answers will vary n R R o R R 0 R 0 0 R Singapore Math Fact Fluency Grade

4 0 R Number of pages Charity will need = = R Charity will need pages. p q + = + = = + = 0 ( + ) = ( ) = ( ) + ( ) = ( + ) = ( + ) ( + ) = r ( + ) = Each friend got pieces of sea glass. a ( ) + = There were shells in each bag in the end. b =, or + ( ) = Devin had shells in all. s Answers will vary Answers will vary Answers will vary Chapter a b Answers will vary. Sample: = Answers will vary. Sample: = 0 c Equivalent:, 0,, 0 Simplest form: Equivalent:,, Simplest form: 0 Marshall Cavendish Education Pte Ltd Singapore Math Fact Fluency Grade

5 0 Marshall Cavendish Education Pte Ltd Equivalent: 0 00, 0, 0 Simplest form: 0 Equivalent:,,, Simplest form: Equivalent:, 0,, 0 d e Simplest form: 0 0 f g h 0 i Singapore Math Fact Fluency Grade

6 0 j = = = Answers will vary. Sample: Space the squash and lettuce filled = + Squash Radish Tomatoes Lettuce Tomatoes Peppers Carrots = of a plot The squash and lettuce filled of a plot. Squash + Radish + Peppers + Carrots, or Tomatoes + Lettuce k Answers will vary Answers will vary Answers will vary Chapter a a,00 b Number of days =,00 0 = 0 Number of school days in a week = Number of weeks = 0 = 0 The cleaning wipes would last 0 weeks. b c 0 0 Marshall Cavendish Education Pte Ltd Singapore Math Fact Fluency Grade

7 0 Marshall Cavendish Education Pte Ltd 0 d Method :! (! ) = (! ) = = Method :! =! = Method :! (! ) = (! ) = 0 = = Method :! =! = = e Method : = ( ) + ( ) = + = Method : = =! = Method : f = ( ) + ( ) = + = 0 Method : = 0 g 0 oz =! = 0 Singapore Math Fact Fluency Grade

8 g h 0 i = There are groups of in wholes. = There are groups of in wholes. 0 j 0 k Yes, I agree. Answers will vary. Sample: = = Chapter a Answers will vary. Sample: + 0 = Answers will vary. Sample: = Answers will vary. Sample: ( ) = ( ) Answers will vary. Sample: = (0 ) + ( ) Answers will vary. Sample: 0 = 0 0 Marshall Cavendish Education Pte Ltd 0 b Steps: Rewritten problem: multiply and divide and add and add and + add and Answers will vary c g g + Singapore Math Fact Fluency Grade d m + w

0 Marshall Cavendish Education Pte Ltd r r + y t y 0 + n + (r + ) e = = 0 = 0 + = + 0 0 = + 0 = 0 = 0 f years The difference in the ages increased in multiples of.

9 0 Marshall Cavendish Education Pte Ltd r r + y t y 0 + n + (r + ) e = = 0 = 0 + = = + 0 = 0 = 0 f years The difference in the ages increased in multiples of. g 00 Accept any answers except 0 h () + = x = () = x = (0) = x = 0 () + = x = + = 0 x = () + = x = i Answers will vary Chapter a b! ;! ; 0 Singapore Math Fact Fluency Grade

10 c Method : + = = Method :! = Method : = Method :! = d e Length of the garage = + + = ft Breadth of the garage = + + = 0 ft The dimensions of the garage are ft 0 ft. Area of the garage = 0 = ft The area of the garage is ft. No. Answers will vary. Sample: He would just have to double the car space instead of the garage space. f Answers will vary. Sample: Step : Combine the two triangles to form a square. Step : Area of the square = = in. Step : Area of the rectangle = = in. Step : Area of the figure = + = 0 in. Chapter a Answers will vary. Sample: Product =,0 (Accept any multiple of,0) Answers will vary. Sample: I found the least common multiple of,,, and, which was,0. Then I worked backwards to get the answers to the other blocks. b Marshall Cavendish Education Pte Ltd 0 Singapore Math Fact Fluency Grade

11 0 Marshall Cavendish Education Pte Ltd c ; ; ; ; ; ; Answers will vary. Sample: 0 = ; = ; = d,,0,0 =,00 There are,00 spectators altogether in sold-out games. e 0 0, R R f = ; = = ; =,00 =,;, =,00,0 = R ; =,;, + =,0 g,0 yd,,,000 gallons, 0, 0 0 h Corn 00 ft 00 ft Lettuce Cucumbers Sunflowers Corn: 0,000 ft Cucumbers: 0,000 ft Lettuce: 0,000 ft Sunflowers: 0,000 ft i Number of pillows produced in a -day work week =,0 =,00 Number of boxes needed =,00 =,00 It takes,00 boxes to ship all the pillows. Amount of foam needed =,0 =,0 oz,0 oz of foam are needed. Amount of polyester needed =,00 =,00 lbs The factory would use,00 lbs of polyester. j Number of days it will take =, = (rounded to the nearest day) It will take Josiah s family days to get to Seattle. Amount of gas needed =, = gallons (rounded to the nearest gallon) They will need gallons of gas to drive the entire distance. Singapore Math Fact Fluency Grade

12 Number of times needed at least = = (rounded to the nearest whole number) Josiah s family will need to fill the tank at least times. Amount of money it will cost = = $ It will cost Josiah s family $. k Answers will vary Chapter a b c = = = = 00 = = = 00 = 0 0. Rewrite: Rewrite: 0. Rewrite: 0. Rewrite: d = 0! 0 = 0 = = 0! 0 = 0 = = 00! 00 = 00 0 Marshall Cavendish Education Pte Ltd Singapore Math Fact Fluency Grade

13 0 Marshall Cavendish Education Pte Ltd 0.0 Rewrite: 0. Rewrite: 0. Rewrite:. Rewrite: e Total amount raised = $0. + $.00 + $0. + $.0 + $. = $.0 The total amount raised was $.0. f.0 kg. kg Maximum weight allowed per rider = =. kg =,.0 kg A fifth rider with the maximum weight will exceed the bridge s capacity of, kg. So, the greatest number of riders with the maximum weight that can be on the bridge at any one time is. g Answers will vary Chapter a 0;,00;,000 0;,00;,000 0;,00;,000 0;,00;,000 b 0 ; 0; 00 ; ; 00; 0; 0 0; ; 0 c Ones d ;. ; ; Tenths Singapore Math Fact Fluency Grade

14 e 0. 0; 00;,000 0.; ; 0 0.0; 0.; f, g 0. h Answers will vary i 0.; 0.0; Marshall Cavendish Education Pte Ltd 0.0.; 0.; ; 0.0; 0.0 j , Singapore Math Fact Fluency Grade

15 0 Marshall Cavendish Education Pte Ltd k l 0. km m 0,00,000 kg,000 metric tons The Empire State Building weighs more than thirty times the Eiffel Tower. 0 0,00 = 0,000 is smaller than,000. m $.; $.0; $.; $. Sonya, Jacquie and Anna raised the most money. n cm wide by. cm long I found the width by multiplying. by 0, and I found the length by multiplying the. by. o Answers will vary Answers will vary Answers will vary Chapter 0 0a Sonya Mario Jacquie Anna 0 0b c Singapore Math Fact Fluency Grade

16 0d Yes No; 0 Yes Yes No; 0e 0f 0g 0h ; +; +; ; + ; ; + +; ; + +; ; Chapter a less likely equally likely more likely b 0 0 impossible equally likely certain c Total amount of water d. = ( ) + ( ) + ( ) + ( ) = 0 cups 0 0 Marshall Cavendish Education Pte Ltd Singapore Math Fact Fluency Grade

17 e x 0 y 0 0 Marshall Cavendish Education Pte Ltd f A = (, ) B = (, ) C = (0, ) D = (, ) E = (, ) Answers will vary g y = x x 0 y 0 i y = x j y = 0x The car traveled 0 miles per hour. 0 m/h 0 0 = 00 m k x (cups) y (oz) x (h) y (m) h y = x + x (yr) 0 y (yr) Number of combinations = = l Singapore Math Fact Fluency Grade

18 = Veronica, Claire Veronica, Lydia Veronica, Anne-Marie Veronica, Monika = Chapter a b c 0 0 d = ; = ; e No, Debby does not have enough vinegar and water. Amount of vinegar she will need = () = oz Amount of water she will need = 0 = 0 oz Amount of plaster left over = ( ) = lb 0 Marshall Cavendish Education Pte Ltd Singapore Math Fact Fluency Grade

19 0 Marshall Cavendish Education Pte Ltd Baking Soda: lb Vinegar: oz Plaster: lb Water: oz f Oatmeal: cup Butter: cup Water: cup Milk: cup Whole wheat flour: cup Shredded cheese: cup Beef stock: tablespoon bag of biscuits; bags of biscuits; bags of biscuits; bags of biscuits; bags of biscuits; bags of biscuits; bags of biscuit Chapter a,0,0,0 b c = 0 0 ; I divided 0 by to obtain 0. Accept all answers such that m! a + m! b + m! c = 0 d The measures of! x and! z are equal. They are vertically opposite angles, and vertically opposite angles are equal. e m! p = 0 = m! q = 0 = Total measure = = 0 Total measure = = 0 Total measure = = 0 f ; 0 Singapore Math Fact Fluency Grade

20 g m! ABC = 0 ; m! ADC = 0 m! ACD = ; m! BAC = m! DAC = Sum of the angle measures = = 0 m! RST = 0 ; m! TWR = 0 m! RTW = 0 ; m! TRW = 0 m! SRT = 0 Sum of the angle measures = = 0, or h 0 ; 0 Sum of the angle measures = = 0 The sum of angles in a quadrilateral is 0. Answers will vary i Perimeter = =. ft,00 j 0;.0 ; ; k Dimension: ft ft, or ft ft Number of s: l 0 0 m Answers will vary Chapter a Marshall Cavendish Education Pte Ltd 0 Singapore Math Fact Fluency Grade

21 0 Marshall Cavendish Education Pte Ltd b = = = 0 c =,,,,,,,,, 00,,, d ft e ft Yes. The length of drawers is ft. in. f 0 l = in.; w =. in.; h = in. Volume =. in. l = cm; w = cm; h = 0 cm g Volume = cm ft ft ft ft ft Volume of the top solid = = 0 cm Volume of the bottom solid = = 0 cm Total volume of the solid = = 0 cm Each represents sunflower plant. h Singapore Math Fact Fluency Grade

22 i Volume = = 0 =,000 cm Volume = = = in. Volume = = = m Volume = = 0. = 0.0 yd j ( ) = ( ) = (0 ) = 0 ( ) = 0 (0. ) = ( 0.) = ( ) = ( ) = (.) = ( ). =. k No. The volume of the luggage is, in., which is less than the space Martell s clothing takes up. Suitcase A:, in. Suitcase B:,00 in. She should choose Suitcase B as it will give her the greatest volume. l,000 cm Circle the pans with dimensions cm cm cm, cm cm cm, and cm cm cm These pans have volumes that are greater than the volume required by the recipe. m Answers will vary Repeated Practice Repeated Practice Marshall Cavendish Education Pte Ltd Singapore Math Fact Fluency Grade

23 0 Marshall Cavendish Education Pte Ltd Repeated Practice Repeated Practice Repeated Practice Singapore Math Fact Fluency Grade

24 0 0 0 Repeated Practice Repeated Practice Marshall Cavendish Education Pte Ltd Singapore Math Fact Fluency Grade

25 0 Marshall Cavendish Education Pte Ltd 0 0 Repeated Practice Repeated Practice Repeated Practice Singapore Math Fact Fluency Grade

26 0 0 Repeated Practice Repeated Practice Repeated Practice Marshall Cavendish Education Pte Ltd Singapore Math Fact Fluency Grade

27 0 0 Marshall Cavendish Education Pte Ltd Repeated Practice Singapore Math Fact Fluency Grade

Unit 1 : Numbers to 10,000. Friendly Notes

Unit 1 : Numbers to 10,000. Friendly Notes Unit : Numbers to 0,000 Friendly Notes Thousands, Hundreds, Tens, and Ones. Count the thousands, hundreds, tens, and ones in this chart.,000,000 00 00 0 0 0 00 00 00 00 0 0 0 0 0 2,000 + 600 + 80 + 5 =