Acme Mathematics-4 1Approved by the Government of Nepal, Ministry 4of Education, Science and Technology, Curriculum Development Centre, Sanothimi, Bhaktapur as an additional material.
2 Acme Mathematics-4Publisher : Sundar Pathshala Prakashan Pvt. Ltd.Anamnagar, Kathmandu, NepalLayout Design : Sundar Pathshala Prakashan DesktopEdition : 2063 (First)2067 (Second)2080 (Third)2083 (Fourth) Revised & UpdatedPrinted in Nepal
Acme Mathematics-4 3I feel proud to present this edition of Mathematics book. It is based on the latest syllabus, formed by Curriculum Development Centre (CDC). I have emphasized the theoretical as well as the numerical aspects of the mathematics course. The underlying concepts have been gradually and systematically developed.In each chapter, all the results and concepts of a particular topic have been put together. These are followed by a large quantity of solved examples. Quite a large number of problems have been given as exercises.I am thankful to Sundar Pathshala Prakashan Pvt. Ltd. for its contribution in bringing out this series in such a splendid form as well as thankful to staff who contributed in bringing out this series like as computer designer, art worker, etc. I also wish to thank all teachers and students who have given creative suggestions. I look forward to hearing from both teachers and students' opinions and valuable suggestions that will help improve the book in next edition.Author3rd Bhadra 2082Preface
4 Acme Mathematics-4ContentGeometry (Working hour 25) 71.1 Line and Angles1.2 Triangle and Quadrilaterel1.3 SolidsArithmetic (Working hour 60) 392.1 Number system2.2 Basic Operation2.3 Fraction2.4 Decimal2.5 PercentageMeasurement (Working hour 25) 173 3.1 Time3.2 Money3.3 Distance3.4 Weight3.5 Capacity3.6 Perimeter3.7 Area
Acme Mathematics-4 5Statistics (Working hour 15) 2304.1 Bill4.2 Budget4.3 Simple Bar GraphAlgebra (Working hour 25) 2575.1 Box Notation and its value5.2 Variable and Constant5.3 Value of unknown variable
6 Acme Mathematics-4Name:Roll No.:Section.:School Name:
Acme Mathematics-4 7GEOMETRY CHAPTER11. Name the line segments:(a) (b) 2. Name the instrument:It is a ................................3. Name the angles:5. Measure the line segments:6. Name the figures.(a) (b)(c) (d)0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 156 5 4 3 2 14. Write the vertex: Vertices are ....................Q RP (b)QIt is angle ............RP (a)OIt is angle .............BA(a)PQ =................. cmP Q(b)AB = .................. cmAB...................... ............................................ ......................Warm Up Test Oh! Warm up is revision.
8 Acme Mathematics-4Activity1. Study the protractor given below.0 180170 10160 2030 150140401305011010080100110706050403020100 18017016015014013012090807012060FEDCBA ONow, fill in the blanks.i. The measure of angle BOA is ............... degree.ii. The measure of angle COA is ............... degree.iii. The measure of angle DOA is ............... degree.iv. The measure of angle EOA is ............... degree.v. The measure of angle FOA is ............... degree.2. Match the Following:Line segmentRayLine
Acme Mathematics-4 91.1 AngleLook at the figure alongside:OA is a ray. OB is a ray.O is the meeting point of rays OA and OB.An angle is formed when two rays meet at a point. In the figure, symbol ( ) indicates the angle. The rays are called arms. OA and OB are arms. The meeting point is called the vertex. O is the vertex. An angle is named with capital English letters.A. Naming the AngleHere is an angle. The angle is formed at the vertex O. So, we write the name of the angle as, ∠AOB or ∠BOA. Where symbol '∠' indicates the angle.RememberO (vertex) is at the middle, while naming the angle.B. Measurement of the Anglesi. ProtractorTo measure the angle, we need a protractor. The protractor is given alongside.A protractor has numbers 0 to 180 marked on it from both sides. This helps to measure the angle from both sides.The unit of angle is degree. It is denoted by (°) symbol. For example 15 degree = 15°.The centre of protractor shows 90°.ABOAO BarmsvertexAO B0 180170 10160 2030 150140401305011010080100110706050403020100 18017016015014013012090807012060
10 Acme Mathematics-4ii. How to read a protractor?A protractor is used to measure angles.1Adjust the end point of the arms with the crossed lines in the middle of the straight edge on the protractor.2Adjust the line that points to zero with one of the arms that make the angle.3Use the ruler on the curved edge to count the degree of the angle between the arms.0 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 1801701601501401301209080701206060°60°iii. Measuring the AngleNow, measure the angle AOB.To measure this angle the protractor should be placed in such way that the centre of the base of the protractor is placed on the vertex of the angle and the base of the angle should be in line with the base of the protractor. The diagram shows the idea clearly.AO B
Acme Mathematics-4 11Here in the figure, the base arm OB is facing to right side. So, you start measuring from the right side. The point at which the ray OA meets one of the lines marked on the protractor gives the measurement of the angle. 0 180170 10160 2030 150140401305011010080100110706050403020100 18017016015014013012090807012060AO Barmscentre of the protractorvertex of the angleRememberYou should start measuring from the side which the base arm is facing.In the figure, it is 60°. So, ∠AOB = 60°.0 180170 10160 2030 150140401305011010080100110706050403020100 18017016015014013012090807012060CD30°OHere, ∠COD = 30°The measurement of the angle is 30°.Example:Classwork1. Name the given angle in two ways.It is ............................................It is ............................................AB C2. True or false? Angles A, C and D are all less than 90°.(a) (b)
12 Acme Mathematics-4(c) (d)2. Match the angles to the correct labels.0 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 1801701601501401301209080701206070°40°20°60°Exercise 1.11. Name the following angles in two ways:(a) MO N(b)A CB(c)R QP..................... ..................... .....................(d)OBA(e)M NO(f)EO D..................... ..................... .....................0 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 18017016015014013012090807012060
Acme Mathematics-4 132. Match the following. 0 180 170 10 160 2030 150 140 40 130 50 110 100 80 100 110 7060 5040 3020 100 180 170 160 150 140 130 12090 8070 120 600 180 170 10 160 2030 150 140 40 130 50 110 100 80 100 110 7060 5040 3020 100 180 170 160 150 140 130 12090 8070 120 600 180 170 10 160 2030 150 140 40 130 50 110 100 80 100 110 7060 5040 3020 100 180 170 160 150 140 130 12090 8070 120 600 180 170 10 160 2030 150 140 40 130 50 110 100 80 100 110 7060 5040 3020 100 180 170 160 150 140 130 12090 8070 120 600 180 170 10 160 2030 150 140 40 130 50 110 100 80 100 110 7060 5040 3020 100 180 170 160 150 140 130 12090 8070 120 6050°120°40°80°130°
14 Acme Mathematics-40 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 18017016015014013012090807012060It is .......... degree.0 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 18017016015014013012090807012060It is .......... degree. It is .......... degree.0 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 18017016015014013012090807012060It is .......... degree. It is .......... degree.0 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 18017016015014013012090807012060It is .......... degree. It is .......... degree.3. Read the following protractors and fill in the blanks.It is .......... degree.
Acme Mathematics-4 154. Draw the given angle in the protractor when base line is given.0 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 180170160150140130120908070120600 180170 10160 2030 150140401305011010080100110706050403020100 1801701601501401301209080701206040°60°80°110°130°120°180°50°70°90°
16 Acme Mathematics-45. Measure the following angles and fill in the boxes given below:(a)P QR (b)C DE(c)NMO(d)S TU(e)QPR(f)FGH(g)B CA (h) AB CNo. Name of the angle Vertex Measurement(a)(b)(c)(d)(e)(f)(g)(h)
Acme Mathematics-4 176. Measure the angles of the triangles and fill in the boxes given below:(a) AB C(b) AB C(c)No. ∠ABC ∠BCA ∠BAC ∠ABC + ∠BCA + ∠BAC(a)(b)(c)7. Name the angles formed in the following pictures and measure it:(a) (b) (c)8. Draw 5 objects having at least one angle.RememberThe sum of interior angles of a triangle is 180°BAC
18 Acme Mathematics-4C. Construction of an AngleHow to construct 40° angle?We need: scale, pencil and protractorSteps: Draw a line segment. AB is a line segment. Suppose point A is vertex. Place the centre of protractor at A. Mark the point C at 40°. Remove the protractor and join the points A and C with the help of scale. ∠CAB = 40°Classwork1. Mark the angles in the given figure.2. Draw the angle 30°.3. Construct an angle 100° using protractor and name it.Remember!An angle is formed when two rays (lines) meet.0 180170 10160 2030 150140401305011010080100110706050403020100 18017016015014013012090807012060A BCA BC40°
Acme Mathematics-4 19Exercise 1.21. Using scale and pencil draw the following angles:(a) ∠AOB (b) ∠BOC (c) ∠XYZ (d) ∠PQR2. Guess the measure of the following angles and check your guess by measuring the angles.(a)A BC (b)A CB(c)C DE (d) OBA(e) MO N(f) EO D(g) AB C(h)X O Y3. Draw the following angles. Use protractor, scale and pencil:(a) 10° (b) 20° (c) 30° (d) 50°(e) 60° (f) 40° (g) 70° (h) 80°(i) 90° (j) 120° (k) 140° (l) 170°
20 Acme Mathematics-4Surface of the ObjectStudy the given objects.The outer side of the solid is called its surface.Match the following shapes.1.2 Plane FigureActivity
Acme Mathematics-4 21a. Plane and curved surfaceStudy the following solids:Plane surfacePlane surfaceCurved surfaceCurved surfaceThe floor, top of a table and the blackboard or white board all have plane surface.A ball, globe, egg and glass all have curved surfaces.Classwork1. Match the followings:The outer side of a solid is called its surface.
22 Acme Mathematics-42. Identify and tick () the plane surface objects.3. Name any 8 objects having plane surfaces.Exercise 1.31. Name the surface of the given solids:It has curved surface. It ....................... surface.It ....................... surface. It ....................... surface.It ....................... surface. It ....................... surface.It ....................... surface. It ....................... surface.
Acme Mathematics-4 232. Identify the surface of the following shapes.Plane surface .............................................................................................................................................................................................................................................................................................
24 Acme Mathematics-4b. More about plane surfaceStudy the nature of the following objects.The surface of the above objects are flat and smooth. These type of surface are called plane surface. The objects given below also have plane surface.Plane surface has name according to their shape. For example,It is a triangle. It is a quadrilateral
Acme Mathematics-4 25It is a pentagon. It is a circle.c. Naming the Plane FigureWe use capital English letters to name the shape.It is a triangle ABC. It is a quadrilateral ABCD.It is a circle ABC.d. Components of the Plane FigureIn ∆ABC, three line segments AB, BC and CA are joined. Three corners A, B and C are present. Three angles ∠A, ∠B and ∠C are made.AB CCornerSideAngleQuadrilateral has four corners, four angles and four sides. A corner is also called a vertex.AB CABDCAB CCornerSideAngle
26 Acme Mathematics-4sidecornercornercornercornersidesidesideFlat surface of a bookClasswork1. Name the vertices and sides of the given figures.A BD C2. Make a plane figure and name it.3. Fill in the blanks.(a) It has .............. vertices.(b) It has .............. sides.(c) It has .............. corners.Exercise 1.41. Mark the sides and colour the corners of the following figures:Figure (a) Figure (b) Figure (c)
Acme Mathematics-4 272. Write the number of sides and corners in the cloud:It has sides.It has corners.It has angles.It has sides.It has corners.It has angles.It has sides.It has corners.It has angles.It has sides.It has corners.It has angles.It has sides.It has corners.It has angles.
28 Acme Mathematics-4It has sides.It has corners.It has angles.3. Collect the pictures having plane surface and curved surface. Paste on A4 size paper and show to your teacher.4. Make different shapes, name the shape and colour them.(a) (b) (c)(d) (e) (f)(g) (h) (i)ABDCQuadrilateral
Acme Mathematics-4 29Identify the solid shapes and tick ()them.1.3 SolidsActivity
30 Acme Mathematics-4A. Surface, Vertex and Edge of the solidActivity-1Look, study, learn and discuss.EdgeVertexVertex VertexVertexPlane surfacePlane surfacePlane surfaceVertexEdgeCubeEdgeEdgea. What is vertices?b. What is corners?c. What is edge?d. What is Surfaces?Surface of the solidOuter part of the solid is called its surface. Surfaces are also called faces. For example: A cube has six faces or six surfaces.Vertex of the solidVertex of the solid is the corner of it, where three or more than three faces meet.For example: A cube has 8 corners or vertices A, B, C, D, E, F, G and H.ABDGHEFC
Acme Mathematics-4 31Edges of the solidThe lines where two faces meet are called the edges of the solid.For example: AB is a edge, where two faces ABCD and ABFE are met. Similarly; BC, CD, DA, EF, FG, GH, HE, AE, BF, CG and DH are the other edges of the given cube.The cube has: 6 surfaces 8 vertices 12 EdgesNow, look at the following figures:Solid Name ExamplesCuboid CubeCylinder Sphere Prism EdgeVertexFaceEdgeVertexFace
32 Acme Mathematics-4Classwork1. Fill in the blanks.(a) A cube has ............. faces.(b) A triangle has ............. vertices.(c) A cone has .............. vertices.2. Construct different solid objects on the given graph.3. Label vertex, edge and surface.4. Name any 6 objects that are solid.
Acme Mathematics-4 33Exercise 1.51. Name the following shapes:(a) (b) (c)(d) (e) (f)2. Name the figure and write the number of surfaces, vertices and edges of each of the following figure:(a) (b) (c)(d) (e) (f)4. Make an object by using different shapes.
34 Acme Mathematics-4Project Work1. Objective : To construct the cube.2. Materials required : Sheet of paper, Colours, Gum, Scale and Scissors3. Activity: Copy the given net of the cube on your sheet of paper. Cut the net of the cube. Colour the 6 faces with different colours. Fold and join the flaps.4. What do you observe?6 faces, 12 edges and 8 vertices. It is a cube.
Acme Mathematics-4 351. Objective : To identify the plane shapes and solid shapes.2. Materials required : Pictures of 5 plane shapes and 5 solid shapes Gum Scissors3. Activity : Talk about the difference between plane shapes and solid shapes. Show a card at a time. Ask the students what kind of shape it is and what is it called. Tell at least one property of that shape. Paste the pictures on A-4 sized paper.Example:4. Write any three properties of each shapes. It has 3 sides. It has 3 corners. It is a plane shape. It has no thickness.Project Work
36 Acme Mathematics-41. (a) Write down the name of angles of the given figure.ABDC(b) Write the number of the face, vertex and edge of the given solid figure.(i) Face = (ii) Vertex = (iii) Edge =(c) Fill in the blanks:A .............. is used to locate the place of an object on the plane surface.2. (a) Construct 110° angle using protractor.(b) How many sides does triangle have?(i) 1 (ii) 2 (iii) 3(c) How many arms does an angle have?(i) 0 (ii) 1 (iii) 23. Study the given figure and answer the following questions.(a) Write the name of vertex.(b) Write the name of arms.(c) Name the given angle in two ways.4. (a) Draw the line segment of 4 cm.(b) Write the measure of AB using a scale.A B(c) Identify the name of above figure as : line, line segment or ray.RO DMixed Exercise
Acme Mathematics-4 375. Study the given figure and answer the following questions.(a) Write the name of given plane figure.(b) How many sides are there in the given plane shape?(c) Name the vertices of given shape.6. Observe the given solid shape.(a) Write the name of its geometric shape.(b) Draw its geometric shape.7. Study the given angle and answer the following questions:(a) Which instrument is used to measure an angle?(b) Write two arms of the given angle.(c) Measure and write the value of given angle.8. Study the given figure and the answer following questions.(a) Measure the side AB of the given triangle.(b) Observe and write the smallest -angle of the given triangle?(c) Measure the any two angles of the given triangle.9. A line segment XY is given.X Y(a) Draw an angle 40° at X and 50° at Y using protractor.(b) Name the point Z, where the line through X and Y are drawn. Measure the third angle. (c) Write the relation between sides of triangle ZXY.10. A cube is given alongside:(a) How many vertices are there in a cube?(b) What is BC called?(c) Name the front face of cube.(d) How long is CE? Measure it.ABSRY MPQ RAB CB CEFDGHA
38 Acme Mathematics-4EvaluationTime: 53 minutes Full Marks: 221. Study the given figure and answer the following question. (a) Write the name of given angle. [1] (b) Write down the arms of the given angles. [1](c) Measure the given angle with the help of protractor. [2] (d) Join the point A and C in given figure and write the relation of three angles of triangle ABC. [2] 2. A cuboid is given below. (a) How many vertices are there in cuboid? [1] (b) Write the name of upper surface. [1]3. (a) What is the name of given diagram. [1] (i) Line (ii) Angle (iii) Triangle (b) Draw a line segment XY=7 cm . [1] (c) How many angles in triangle [1] (i) 2 (ii) 3 (iii) 4 (d) How many vertices in a cube ? [1] (i) 4 (ii) 6 (iii) 84. (a) Construct 900 angle using a protractor. [2] (b) In the given triangle, [2] Write the name of all three angles. 5. (a) By using protractor. (i) Construct 90o and 50o angle. [1](ii) Measure the given angle. [1] (b) Study the given figure and answer the following questions. (i) What is the name of this figure ? [1] (ii) Write the name of vertices of the figure ? [1] (iii) Write the name of all sides of the figure. [2]O BAA DC BEF GHAB CMN OP
Acme Mathematics-4 39ARITHMETIC CHAPTER21. Match the following:21293030153611246601305Warm Up Test
40 Acme Mathematics-42. Write the place-value of the underlined digits:(a) 32173 (b) 654303. Write the following numerals in a place-value chart and write their number names:(a) 6489 (b) 653174. Write down each of the following in numerals:(a) One hundred twenty thousand three hundred and sixteen.(b) Seventy six thousand two hundred and ninety-nine.(c) Fifty six thousand and one.5. Put the Devnagari numbers in the blanks:(a) 1 hundred ............, 1 thousand ..............., 10 lakh ...................(b) Match the following1000 the smallest 5-digit number101 the greatest 2-digit number99 one hundred one10000 the greatest 4-digit number9999 the smallest 4-digit number6. Write the following expanded form in the standard form:(a) 6000 + 400 + 20 + 7(b) 40000 + 1000 + 800 + 60 + 97. Round the given numbers to the nearest 100:(a) 3562 (b) 5921 (c) 46328. lbOPsf] cª\\snfO{ cIf/df n]Vg'xf];\\M(a) &@#% (b) %#*@ (c) (#@$&9. lbOPsf] cIf/nfO{ cª\\sdf n]Vg'xf];\\M(a) gf} nfv krf;L xhf/ tLg ;o (b) 5TtL; nfv lqrfnL; xhf/ kfFr ;o Ps10. Put the sign > or < :(a) 3675 .............. 8732 (b) 75623 .............. 83476(c) 85720 .............. 85670 (d) 67935 ............. 8254
Acme Mathematics-4 412.1 Number SystemCount the block and write answer.How many?How many?How many?How many?How many?How many?Activity
42 Acme Mathematics-4We use two types of number. They are:1. Hindu-Arabic numeralsIn Hindu-Arabic number system ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are used. By using these digits many numbers can be made. This number system was developed in 100 A.D. by the Hindus. This method of writing numbers was made popular to the western world by Arabians. That is why the system is called the Hindu-Arabic number system. 15, 123, 999 etc are numbers made from using different digits.2. Devnagari numeralsIn Devnagari number system ten digits ), !, @, #, $, %, ^, &, * and ( are used. By using these digits many numbers can be made. !%, !@#, (((, etc. are numbers made from using different digits.National system is our system.5-digit NumbersA. Ten thousand on the abacusTH H T O TH H T O T-TH TH H T O(a) (b)(a) 9 Thousands 9 Hundreds and ninety nine(b) 10 ThousandsB. Writing 5-digits numbers in the place value chart1. The largest 4 – digits number is 9999.2. The first and smallest 5 – digits number is formed by adding 1 to 9999,i.e. 9999 + 1 = 10000.3. 10000 is read as Ten Thousand.4. 10000 is written as shown below:Ten Thousand Thousand Hundred Tens Ones1 0 0 0 05. The largest 5-digit number is 99999.10 Thousands is 1 more than 9999.10000 is 5-digits number.
Acme Mathematics-4 43C. Counting in ten thousandsT-TH TH H T O10000(Ten thousand)T-TH TH H T O20000(Twenty thousand)T-TH TH H T O30000(Thirty thousand)T-TH TH H T O40000(Forty thousand)T-TH TH H T O50000(Fifty thousand)T-TH TH H T O60000(Sixty thousand)T-TH TH H T O70000(Seventy Thousand)T-TH TH H T O80000(Eighty Thousand)T-TH TH H T O90000(Ninety Thousand)D. Number and number name(a)T-TH TH H T O45623(b)T-TH TH H T O62987(c)T-TH TH H T O95042(a) Forty-five thousand six hundred and twenty-three(b) Sixty-two thousand nine hundred and eighty-seven(c) Ninety-five thousand and forty-two.
44 Acme Mathematics-4E. Place valueStudy the following place value charts.Ten Thousand Thousand Hundred Tens Ones1 0 0 0 01 Ten thousand = 1 × 10000 = 10000Ten Thousand Thousand Hundred Tens Ones6 5 0 0 06 Ten thousand 5 thousand = 6 × 10000 + 5 × 10000 = 60000 + 5000 = 65000Hence,6 Ten thousand and 7 thousand = 67 thousand = 67000Sixty thousand and seven thousand = 60000 + 7000 = 67000.Sixty seven thousand Look at the following place value chart:Thousand OnesTen Thousand Thousand Hundred Tens Ones10000 1000 100 10 04 5 6 7 8Here, the number is 45678 where, place value of number are:T-Th Th Place value 4 5 6 7 88 8 ones = 87 Tens = 706 Hundred = 6005 Thousand = 50004 Ten Thousand = 400007654H T U
Acme Mathematics-4 45Classwork1. How many thousands make one lakh? ....................2. (a) Skip count by 10's:6350 6360(b) Write the place value of the circled digits.4 5 6 7 8 .................... and ....................(c) Write the number name : 78096...............................................................................................(d) Express in the place value chart and write in word: 33227.............................................................................................3. Write the number name:56475 Fifty six thousand four hundred and seventy-five687477756387801917707540035000475803937157899
46 Acme Mathematics-4Exercise 2.11. Colour the circle according to the given number code.Ten thousand Thousand Hundred Ten One41462523811591363072216198450238621
Acme Mathematics-4 472. Read the abacus and write the number and number name:(a)T-TH TH H T O(b)T-TH TH H T O(c)T-TH TH H T O(d)T-TH TH H T O3. Write the number for the following number names:(a) Fifty-four thousand two hundred and fifty-two. 54252(b) Seventy-three thousand five hundred and sixty.(c) Eighty-two thousand six hundred and three.(d) Ninety-one thousand three hundred and fifteen.(e) Twenty-nine thousand eight hundred and sixteen.(f) Sixty-four thousand and twenty-nine .(g) Twelve-thousand and seven.(h) Twenty-seven thousand eight hundred and four.
48 Acme Mathematics-44. Count on the number line:(a)10000 10001(b)21510 21520(c)43450 43500(d)98300 98600(e)14000 16000(f)20000 500005. Fill the number in the place value chart and write the number name:(a) 23564 (b) 98765 (c) 467785 (d) 75432(e) 12456 (f) 52146 (g) 65478 (h) 845676. Write the place value of the encircled digits:(a) 2 1 5 0 5 5 is in hundred place.(b) 5 2 6 3 2(c) 3 9 2 5 4(d) 4 5 2 3 6(e) 5 6 4 2 8(f) 3 9 1 5 97. Write the value of the encircled digits:(a) 5 6 3 5 4(c) 8 6 5 6 7 (e) 6 7 6 0 5(g) 6 2 9 5 7 (i) 7 6 3 2 6(b) 3 4 2 6 7(d) 5 3 2 4 7(f) 3 8 6 5 9(h) 8 7 5 2 9 (j) 2 5 1 9 3
Acme Mathematics-4 498. Complete the following as shown in the example:2 ten thousands and 3 thousand = ............... ....................................... 3 ten thousands and 1 thousand = ............... ....................................... 4 ten thousands and 5 thousand = ............... ....................................... 8 ten thousands and 6 thousand = ............... ....................................... 9 ten thousands and 7 thousand = ............... ....................................... 9. Complete the following as shown in the example:90000 + 2000 = .............. .....................................................80000 + 7000 = .............. .....................................................10000 + 3000 = .............. .....................................................40000 + 6000 = .............. .....................................................50000 + 5000 = .............. .....................................................F. The expanded formA five-digit number consists of five place values:� Ten thousand � Thousand � Hundred � Tens � OnesIts number name indicates the digits in the respective place value. Consider a five-digits number 25648. This number can be written as:25648 = 20000 + 5000 + 600 + 40 + 8The above form is the expanded form of the number 25648.G. The standard formIf a number is given in an expanded form, it can be put in the standard form. Consider the following expanded form of a number.50000 + 6000 + 700 + 80 + 9Its standard form is 56789.H. Use of comma (,)We use comma (,) to read the larger number easily. Comma separates the periods. The first comma is after 3-digits from the right. Then every comma is put after 2-digits.23000 Twenty three thousand92000 Ninety two thousand
50 Acme Mathematics-4Look at the following examples:1,234 45,678 4,56,789The digit in the same period is read together.Look at the following example: 87,654It is 5-digit number. 87 and 654 are separated by comma.It is read as eighty seven thousand six hundred and fifty-four.Classwork1. (a) Use comma and write in word: 5678...............................................................(b) Write in short form: 90000 + 2000 = ...................(c) Write in the expanded form: 12345.............................................................................................2. Read the abacus given below:TH H T O.........................3. Write the expanded form for the following numbers:(a) 24567 = ............ + ............ + ............ + ............ + ............(b) 84967 = ............ + ............ + ............ + ............ + ............ (c) 74560 = ............ + ............ + ............ + ............ + ............ (d) 64362 = ............ + ............ + ............ + ............ + ............(e) 54066 = ............ + ............ + ............ + ............ + ............ (f) 94160 = ............ + ............ + ............ + ............ + ............ (g) 41585 = ............ + ............ + ............ + ............ + ............