Calculation tool for multiplying two digits
By designing a calculation tool for multiplication of two-digit numbers, including abacus and multiple arithmetic rods, the problem of lack of fun and difficulty in assisting mathematical operations in existing educational toys is solved, and efficient and accurate mathematical operations are improved and fun is achieved.
Patent Information
- Application Number
- CN202421036619.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2024-05-13
- Publication Date
- 2025-03-11
- Estimated Expiration
- 2034-05-13
AI Technical Summary
The existing double-digit multiplication educational toys are not fun and difficult to assist mathematical operations, and the existing electronic calculator or formula calculation methods cannot effectively assist operations.
A calculation tool including an abacus and multiple calculation rods is designed. The abacus is equipped with a counting area and a placement area with a square structure. The calculation rod can be placed along the length and width of the placement area. The result of multiplication of the two-digit numbers is calculated by calculating the number of intersection points of the poles.
The tool is reasonably constructed, efficient, highly accurate, easy to understand and operate. It can not only perform logical operations, but also serve as a teaching tool or toy to help students understand mathematical operations during hands-on process.
Smart Images
Figure CN222600357U_ABST
Abstract
Description
Technical Field
[0001] The utility model relates to the technical field of teaching tools, in particular to a calculation tool used for multiplying two-digit numbers. Background Art
[0002] There are many varieties of educational toys, such as Chinese character pinyin building blocks, animal chess, electronic remote control cars and ships, etc., which are helpful for the popular science education of children, but there are few educational toys used to assist mathematical operations, especially the existing two-digit multiplication calculated by electronic calculators or formulas, which not only cannot assist props in operation, but also are not very interesting. Utility Model Content
[0003] The utility model provides a calculation tool for multiplying two-digit numbers, which can obtain the value after the two-digit number is multiplied by placing a plurality of calculation rods in a placement area and then obtaining the value after the two-digit number is multiplied by the number of intersections of the plurality of calculation rods. The utility model has the characteristics of reasonable structure, high efficiency, high accuracy and easy understanding.
[0004] The utility model also provides a calculation tool for multiplying two-digit numbers, characterized in that it includes an abacus and a plurality of arithmetic rods, the abacus is provided with a counting area and a placement area in a square structure, the counting area is arranged on one side of the placement area, the side length of the placement area is adapted to the length of the arithmetic rods, so that the arithmetic rods can be placed along the length direction and the width direction of the placement area;
[0005] Wherein, the placement area has a first side, a second side, a third side and a fourth side, the first side is arranged opposite to the third side, the second side is arranged opposite to the fourth side, the first side is used to place a number of arithmetic rods matching the tens digits of one of the two-digit numbers, the second side is used to place a number of arithmetic rods matching the units digits of one of the two-digit numbers, the third side is used to place a number of arithmetic rods matching the tens digits of another two-digit number, and the fourth side is used to place a number of arithmetic rods matching the units digits of another two-digit number, and the counting area has multiple tables, and the multiple tables are respectively used to record the number of intersections of the multiple arithmetic rods placed on the first side, the second side, the third side and the fourth side, so that the value after multiplying two two-digit numbers can be obtained through the number of intersections.
[0006] In a calculating tool of one embodiment of the utility model, the placement area has a first corner, a second corner, a third corner and a fourth corner, the first corner and the third corner are respectively arranged on the left and right sides of the abacus, and the second corner and the fourth corner are respectively arranged on the upper and lower sides of the abacus.
[0007] In a computing tool according to an embodiment of the present invention, a protruding structure is formed in the middle of the first side, the second side, the third side and the fourth side.
[0008] In the calculating tool of one embodiment of the present utility model, the length of the protruding structure is smaller than the length of the calculating rod, and the width of the protruding structure is larger than the width or diameter of the calculating rod.
[0009] In a calculating tool according to one embodiment of the utility model, the abacus includes a disk body and a storage box, the disk body is formed with a receiving cavity, the counting area and the placing area, the storage box is movably installed in the receiving cavity, and the abacus rod is placed in the storage box.
[0010] In a calculating tool of one embodiment of the utility model, the abacus includes a support pad, one side of the disk body has a support protrusion, the accommodating cavity is formed in the support protrusion, and the support pad is arranged on a side of the disk body away from the support protrusion.
[0011] In a computing tool according to an embodiment of the present invention, a toggle groove is provided on the disk body, and the toggle groove is located outside the accommodating cavity and is used to take the storage box out of the accommodating cavity.
[0012] In the calculation tool of one embodiment of the utility model, the table includes a tens digit area, a ones digit area, a ones digit area of the middle intersection point and a ones digit area of the right intersection point, and the tens digit area, the ones digit area, the ones digit area of the middle intersection point and the ones digit area of the right intersection point are distributed from the left side to the right side of the abacus in sequence.
[0013] In the calculation tool of one embodiment of the utility model, the table also includes a left area, a middle area, a right area and a total area, and the left area, the middle area, the right area and the total area are distributed from the upper side to the lower side of the abacus in sequence.
[0014] In the calculation tool of one embodiment of the present utility model, the width or diameter of the calculation rod is not greater than half of the depth of the placement area.
[0015] The technical solution provided by the embodiment of the present application may include the following beneficial effects: the present application designs a calculation tool for multiplying two-digit numbers, including an abacus and a plurality of abacus rods, the abacus is provided with a counting area and a placement area in a square structure, the counting area is arranged on one side of the placement area, the side length of the placement area is adapted to the length of the abacus rods, so that the abacus rods can be placed along the length direction and the width direction of the placement area; wherein the placement area has a first side, a second side, a third side and a fourth side, the first side is arranged opposite to the third side, the second side is arranged opposite to the fourth side, and the first side is used to place the abacus rods of the number matching the tens digit of one of the two-digit numbers, and the second side is used to place one of the The third side is used to place the arithmetic rods of the number of matching tens digits of another two-digit number, and the fourth side is used to place the arithmetic rods of the number of matching ones digits of another two-digit number. There are multiple tables on the counting area, and the multiple tables are respectively used to record the number of intersections of the multiple arithmetic rods placed on the first side, the second side, the third side and the fourth side, so that the value after multiplying two two-digit numbers can be calculated and obtained through the number of intersections. It is easy to learn and use, can be used for logical operations, and can also be used as a teaching tool or a toy, so that students can understand the knowledge of logical operations in the hands-on process. It has the characteristics of reasonable structure, high efficiency, strong accuracy and easy to understand.
[0016] It should be understood that the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the present application. BRIEF DESCRIPTION OF THE DRAWINGS
[0017] In order to more clearly illustrate the technical solutions of the embodiments of the utility model, the drawings required for use in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are some embodiments of the utility model. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.
[0018] Figure 1 is a schematic diagram of the structure of a computing tool provided by an embodiment of the present application;
[0019] Figure 2 yes Figure 1 A schematic diagram of the structure of the computing tool at another angle;
[0020] Figure 3 yes Figure 1 A schematic diagram of the calculation tools in the
[0021] Figure 4 yes Figure 1 A schematic diagram of one of the states of the computing tool in FIG.
[0022] Figure 5 yes Figure 1The calculation tool in the calculation of the rod placement diagram of 12 times 11;
[0023] Figure 6 yes Figure 1 The calculation tool in the calculation of the rod placement diagram for 12 times 42;
[0024] Figure 7 yes Figure 1 The calculation tool in the calculation tool calculates the rod placement diagram for calculating 21 times 31. DETAILED DESCRIPTION
[0025] The following will be combined with the drawings in the embodiments of the utility model to clearly and completely describe the technical solutions in the embodiments of the utility model. Obviously, the described embodiments are part of the embodiments of the utility model, not all of the embodiments. Based on the embodiments of the utility model, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the utility model.
[0026] It should also be understood that the terms used in this utility model specification are only for describing specific realities. In the description of this application, it should be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside", "clockwise", "counterclockwise" and the like indicate the orientation or position relationship based on the orientation or position relationship shown in the drawings, which is only for the convenience of describing this application and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation on this application. In addition, the terms "first" and "second" are only used for descriptive purposes, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Therefore, the features defined as "first" and "second" may explicitly or implicitly include one or more of the features. In the description of this application, the meaning of "multiple" is two or more, unless otherwise clearly and specifically defined.
[0027] In conjunction with the accompanying drawings, some embodiments of the present application are described in detail below. In the absence of conflict, the following embodiments and features in the embodiments can be combined with each other.
[0028] like Figures 1 to 7As shown, the present application provides a calculation tool for multiplying two-digit numbers, including an abacus 100 and a plurality of abacus rods 200. The abacus 100 is provided with a counting area 13 and a placement area 11 in a square structure. The counting area 13 is arranged on one side of the placement area 11. The side length of the placement area 11 is adapted to the length of the abacus rods 200, so that the abacus rods 200 can be placed along the length and width directions of the placement area 11, so that the value after multiplying two two-digit numbers can be calculated and obtained according to the number of intersections of the abacus rods 200 placed in the placement area 11.
[0029] In this embodiment, the placement area 11 has a first side 111, a second side 112, a third side 113 and a fourth side 114. The first side 111 and the third side 113 are arranged opposite to each other, and the second side 112 and the fourth side 114 are arranged opposite to each other. The first side 111 is used to place a number of arithmetic rods 200 that match the tens digits of one of the two-digit numbers, the second side is used to place a number of arithmetic rods 200 that match the units digits of one of the two-digit numbers, the third side 113 is used to place a number of arithmetic rods 200 that match the tens digits of another two-digit number, and the fourth side 114 is used to place a number of arithmetic rods 200 that match the units digits of another two-digit number. There are multiple tables on the counting area 13, and the multiple tables are respectively used to record the number of intersections between the multiple arithmetic rods 200 placed on the first side 111, the second side 112, the third side 113 and the fourth side 114, so that the value after multiplying the two two-digit numbers can be obtained through these numbers of intersections 200.
[0030] For example, Figure 4 As shown, one of the two-digit numbers is 12 and the other two-digit number is also 12. When the answer of 12 times 12 needs to be obtained, that is, the tens digit of one of the two-digit numbers (that is, 12) is 1 and the ones digit is 2, one arithmetic rod 200 can be placed on the first side 111 and two arithmetic rods 200 can be placed on the third side 113; for the tens digit of the other two-digit number (that is, 12) is also 1 and the ones digit is also 2, one arithmetic rod 200 can be placed on the second side 112 and two arithmetic rods 200 can be placed on the fourth side 114. At this time, the number of intersections between the calculating rod 200 on the first side 111 and the calculating rod on the second side 112 can be obtained, which is 1; the number of intersections between the calculating rod 200 on the third side 113 and the calculating rod on the fourth side 114 is 4; the number of intersections between the calculating rod 200 on the second side 112 and the calculating rod on the third side 113 is 2; the number of intersections between the calculating rod 200 on the first side 111 and the calculating rod on the fourth side 114 is 2, so the answer of 12 times 12 can be obtained: 1(2+2)4, which is 144.
[0031] In an optional embodiment, the placement area 11 has a first corner, a second corner, a third corner and a fourth corner. The first corner and the third corner are respectively arranged on the left and right sides of the abacus 10, and the second corner and the fourth corner are respectively arranged on the upper and lower sides of the abacus 10, which can be easily identified.
[0032] Exemplarily, the first corner is the intersection of the first side 111 and the second side 112, that is, the corner of the display area 11 facing the left side of the abacus 10; the second corner is the intersection of the third side 113 and the fourth side 114, that is, the corner of the display area 11 facing the right side of the abacus 10; the third corner is the intersection of the second side 112 and the third side 113, that is, the corner of the display area 11 facing the upper side of the abacus 10; the fourth corner is the intersection of the first side 111 and the fourth side 114, that is, the corner of the display area 11 facing the lower side of the abacus 10. After multiplying the two digits, the leftmost value is the number of intersections of the first corners, that is Figure 4 The number of intersections shown in the figure is 1; the rightmost value is the number of intersections of the second corner, that is, Figure 4 The number of intersections shown in is 4; the value in the middle is the sum of the number of intersections of the third corner and the number of intersections of the fourth corner, that is, Figure 4 The number of intersections shown in is 2 (the number of intersections of the third corner) + 2 (the number of intersections of the fourth corner) = 4, so we can get: 12*12=144.
[0033] For example, Figure 5 As shown, one of the two-digit numbers is 12 and the other two-digit number is also 11. When the answer of 12 times 11 needs to be obtained, that is, the tens digit of one of the two-digit numbers (namely 12) is 1 and the ones digit is 2, one arithmetic rod 200 can be placed on the first side 111 and two arithmetic rods 200 can be placed on the third side 113; for the other two-digit number (namely 11), the tens digit is 1 and the ones digit is also 1, one arithmetic rod 200 can be placed on the second side 112 and one arithmetic rod 200 can be placed on the fourth side 114. At this time, the number of intersections between the calculating rod 200 on the first side 111 and the calculating rod on the second side 112 can be obtained, which is 1; the number of intersections between the calculating rod 200 on the third side 113 and the calculating rod on the fourth side 114 is 2; the number of intersections between the calculating rod 200 on the second side 112 and the calculating rod on the third side 113 is 2; the number of intersections between the calculating rod 200 on the first side 111 and the calculating rod on the fourth side 114 is 1, so the answer of 12 times 11 can be obtained: 1(2+1)2, that is, 12*11=132.
[0034] For example, Figure 6As shown, one of the two-digit numbers is 12 and the other two-digit number is also 42. When the answer of 12 multiplied by 42 is needed, that is, the tens digit of one of the two-digit numbers (namely 12) is 1 and the ones digit is 2, one arithmetic rod 200 can be placed on the first side 111 and two arithmetic rods 200 can be placed on the third side 113; for the tens digit of the other two-digit number (namely 42), the tens digit is 4 and the ones digit is 2, four arithmetic rods 200 can be placed on the second side 112 and two arithmetic rods 200 can be placed on the fourth side 114. At this time, we can obtain the number of intersections between the arithmetic rod 200 on the first side 111 and the arithmetic rod on the second side 112, which is 4; the number of intersections between the arithmetic rod 200 on the third side 113 and the arithmetic rod on the fourth side 114, which is 4; the number of intersections between the arithmetic rod 200 on the second side 112 and the arithmetic rod on the third side 113, which is 8; the number of intersections between the arithmetic rod 200 on the first side 111 and the arithmetic rod on the fourth side 114, which is 2. Since 8+2 is equal to 10, it is necessary to carry to the hundreds digit, that is, the answer to 12 multiplied by 42 is: (4+1)04, that is, 12*42=504.
[0035] For example, Figure 7 As shown, one of the two-digit numbers is 21 and the other two-digit number is also 31. When the answer of 21 multiplied by 31 is needed, that is, the tens digit of one of the two-digit numbers (namely 21) is 2 and the ones digit is 1, two calculating rods 200 can be placed on the first side 111 and one calculating rod 200 can be placed on the third side 113; for the tens digit of the other two-digit number (namely 31), the tens digit is 3 and the ones digit is 1, so three calculating rods 200 can be placed on the second side 112 and one calculating rod 200 can be placed on the fourth side 114. At this time, the number of intersections between the arithmetic rod 200 on the first side 111 and the arithmetic rod on the second side 112 is 6; the number of intersections between the arithmetic rod 200 on the third side 113 and the arithmetic rod on the fourth side 114 is 1; the number of intersections between the arithmetic rod 200 on the second side 112 and the arithmetic rod on the third side 113 is 3; the number of intersections between the arithmetic rod 200 on the first side 111 and the arithmetic rod on the fourth side 114 is 2, so the answer to 21 multiplied by 31 can be obtained: 6(3+2)2, that is, 12*11=651.
[0036] It should be noted that the abacus 100 of the present application is also designed with a counting area 13, and the counting area 13 has a plurality of tables, which are respectively used to record the number of intersections of the abacus rod 200 on the first corner, the second corner, the third corner and the fourth corner, and then the value after multiplying two two-digit numbers is derived by the above method. It is easy to learn and use, can be used for logical operations, and can also be used as a teaching tool or toy, so that students can understand the knowledge of logical operations in the hands-on process. It has the characteristics of reasonable structure, high efficiency, strong accuracy and easy to understand.
[0037] In an optional embodiment, if Figure 1 and Figure 3 As shown, a protruding structure 12 is formed in the middle of the first side 111 , the second side 112 , the third side 113 and the fourth side 114 to facilitate the taking and placing of the arithmetic rods 200 placed in the placement area 11 .
[0038] In an optional embodiment, the length of the protruding structure 12 is smaller than the length of the abacus 200 , and the width of the protruding structure 12 extending toward the inside of the placement area 11 is larger than the width or diameter of the abacus 200 .
[0039] In an optional embodiment, the abacus 100 includes a disk body 10 and a storage box 20, wherein a receiving cavity 15 is formed on the disk body 10, and a counting area 13 and a placement area 11 are formed on the upper end surface of the disk body 10. The storage box 20 is movably installed in the receiving cavity 15, and the abacus rod 200 is placed in the storage box 20 to avoid the abacus rod 200 being lost during use.
[0040] In an optional embodiment, if Figure 2 As shown, the abacus 100 includes a support pad 30, a support protrusion 14 is provided on one side of the disk body 10, an accommodating cavity 15 is formed in the support protrusion 14, and the support pad 30 is arranged on the side of the disk body 10 away from the support protrusion 14, which can not only save the manufacturing material of the disk body 10, but also ensure the stability of the placement of the disk body 10.
[0041] In an optional embodiment, a toggle groove 16 is provided on the tray body 10 . The toggle groove 16 is located outside the accommodating cavity 15 and is used to take the storage box 20 out of the accommodating cavity 15 .
[0042] In an optional embodiment, if Figure 6 As shown, the table includes a tens digit area 131, a units digit area 132, a units digit area 133 of the middle intersection, and a units digit area 135 of the right intersection. The tens digit area 131, the units digit area 132, the units digit area 133 of the middle intersection, and the units digit area 135 of the right intersection are distributed from the left side to the right side of the abacus 10 in sequence, so that the number of intersections can be recorded to facilitate the calculation of the number of intersections.
[0043] Among them, the table in which the ones digit area 133 of the middle intersection is offset to the left side of the abacus 10 can be the tens digit area 134 of the middle intersection, which can record the tens digit after the accumulation of the number of intersections on the third corner and the fourth corner, such as the number of intersections between the third corner and the fourth corner in 21*31, 1 can be recorded in the tens digit area 134 of the middle intersection, 0 can be recorded in the ones digit area 133 of the middle intersection, and then the tens digit area 134 of the middle intersection can be added to the ones digit area 132.
[0044] In the same principle, the table of the ones digit area 135 of the right intersection offset to the left side of the abacus 10 can be the tens digit area 136 of the right intersection, which can record the tens digit of the number of intersections of the fourth corner.
[0045] In an optional embodiment, the table also includes a left area, a middle area, a right area and a combined area, and the left area, the middle area, the right area and the combined area are distributed from the upper side to the lower side of the abacus in sequence to guide the recording of the number of intersections of the first corner, the second corner, the third corner and the fourth corner.
[0046] In an optional embodiment, the width or diameter of the counting rod 200 is no greater than half of the depth of the placement area 11 , that is, the counting rod 200 can be completely stacked in the placement area 11 .
[0047] In the description of this application, it should be noted that, unless otherwise clearly specified and limited, the terms "installed", "connected", and "connected" should be understood in a broad sense. For example, it can be a fixed connection, a detachable connection, or an integral connection. It can be a mechanical connection or an electrical connection. It can be directly connected or indirectly connected through an intermediate medium. It can be the internal connection of two elements or the interaction relationship between two elements. For ordinary technicians in this field, the specific meanings of the above terms in this application can be understood according to the specific circumstances.
[0048] In the present application, unless otherwise clearly specified and limited, a first feature being "above" or "below" a second feature may include that the first and second features are in direct contact, or may include that the first and second features are not in direct contact but are in contact through another feature between them. Moreover, a first feature being "above", "above" and "above" a second feature includes that the first feature is directly above and obliquely above the second feature, or simply indicates that the first feature is higher in level than the second feature. A first feature being "below", "below" and "below" a second feature includes that the first feature is directly below and obliquely below the second feature, or simply indicates that the first feature is lower in level than the second feature.
[0049] The disclosure above provides many different embodiments or examples to realize the different structures of the present application. In order to simplify the disclosure of the present application, the parts and settings of specific examples are described above. Of course, they are only examples, and the purpose is not to limit the present application. In addition, the present application can repeat reference numbers and / or reference letters in different examples, and this repetition is for the purpose of simplification and clarity, which itself does not indicate the relationship between the various embodiments and / or settings discussed. In addition, the various specific processes and material examples provided by the present application, but those of ordinary skill in the art can be aware of the application of other processes and / or the use of other materials.
[0050] In the description of this specification, the description with reference to the terms "one embodiment", "some embodiments", "illustrative embodiments", "examples", "specific examples", or "some examples" means that the specific features, structures, materials, or characteristics described in conjunction with the embodiments or examples are included in at least one embodiment or example of the present application. In this specification, the schematic representation of the above terms does not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials, or characteristics described may be combined in any one or more embodiments or examples in a suitable manner.
Claims
1. A calculation tool for multiplying two-digit numbers, characterized in that: The abacus comprises an abacus and a plurality of abacus rods, wherein the abacus is provided with a counting area and a placing area in a square structure, the counting area is arranged on one side of the placing area, and the side length of the placing area is adapted to the length of the abacus rods, so that the abacus rods can be placed along the length direction and the width direction of the placing area; Wherein, the placement area has a first side, a second side, a third side and a fourth side, the first side is arranged opposite to the third side, the second side is arranged opposite to the fourth side, the first side is used to place a number of arithmetic rods matching the tens digits of one of the two-digit numbers, the second side is used to place a number of arithmetic rods matching the units digits of one of the two-digit numbers, the third side is used to place a number of arithmetic rods matching the tens digits of another two-digit number, and the fourth side is used to place a number of arithmetic rods matching the units digits of another two-digit number, and the counting area has multiple tables, and the multiple tables are respectively used to record the number of intersections of the multiple arithmetic rods placed on the first side, the second side, the third side and the fourth side, so that the value after multiplying two two-digit numbers can be obtained through the number of intersections.
2. The computing tool according to claim 1, characterized in that The placement area has a first corner, a second corner, a third corner and a fourth corner, the first corner and the third corner are respectively arranged on the left and right sides of the abacus, and the second corner and the fourth corner are respectively arranged on the upper and lower sides of the abacus.
3. The computing tool according to claim 1, characterized in that A protrusion structure is formed in the middle of the first side, the second side, the third side and the fourth side.
4. The calculation tool according to claim 3, characterized in that The length of the protruding structure is smaller than the length of the calculating rod, and the width of the protruding structure is larger than the width or diameter of the calculating rod.
5. The computing tool according to claim 1, characterized in that The abacus comprises a plate body and a storage box, the plate body is formed with a containing cavity, the counting area and the placing area, the storage box is movably installed in the containing cavity, and the abacus rod is placed in the storage box.
6. The computing tool according to claim 5, characterized in that The abacus comprises a support pad, one side of the disk body is provided with a support protrusion, the accommodating cavity is formed in the support protrusion, and the support pad is arranged on a side of the disk body away from the support protrusion.
7. The computing tool according to claim 5, characterized in that The disk body is provided with a toggle groove, which is located outside the accommodating cavity and is used to take the storage box out of the accommodating cavity.
8. The computing tool according to claim 1, characterized in that The table includes a tens area, a ones area, a ones area at the middle intersection and a ones area at the right intersection, and the tens area, the ones area, the ones area, the ones area at the middle intersection and the ones area at the right intersection are distributed from the left side to the right side of the abacus in sequence.
9. The computing tool according to claim 8, characterized in that The table also includes a left area, a middle area, a right area and a combined area, and the left area, the middle area, the right area and the combined area are distributed from the upper side to the lower side of the abacus in sequence.
10. The computing tool according to claim 1, characterized in that The width or diameter of the calculating rod is no greater than half the depth of the placing area.