The addition is a process of summing up two or more items together. Mental addition is used to find the sum of numbers in the simplest way.
This concept introduces addition tricks and mental maths strategies for addition for students.
In this learning concept, the students will learn to
- Apply the addition tricks for
- Use of addition by counting forward, addition by double the numbers and pairing the numbers that make 10.
Each concept is explained to class 1 maths students with illustrations and examples, and a concept map is given to summarize the idea. At the end of the page, two printable worksheets with solutions are attached for students to practice. Download the worksheets with solutions and assess your knowledge.
What Is Mental Math Addition?
We will learn some easy methods to do addition mentally.
Addition of 1-digit numbers
- Addition By Counting Forward
- Consider the first number and count the number of steps forward as equal to the second number.
Example:
![Addition](https://web.archive.org/web/20230328045701im_/https://www.orchidsinternationalschool.com/wp-content/uploads/2022/07/G1_2_Mental-Sub_Example.jpg)
Method
We will start from number 2 and count 5 steps forward.
So, we get:
![Addition](https://web.archive.org/web/20230328045701im_/https://www.orchidsinternationalschool.com/wp-content/uploads/2022/07/G1_4_Mental-Sub_Answer.jpg)
- Addition by counting forward from a larger number
- Find out the larger number between addends and count forward from that number.
Example:
![Addition](https://web.archive.org/web/20230328045701im_/https://www.orchidsinternationalschool.com/wp-content/uploads/2022/07/G1_5_Mental-Sub_Example.jpg)
Method
- If we count from 3, we have to count 6 steps forward but if we count from 6, we have to count 3 steps forward.
- This method will make our addition faster.
So, we get:
![](data:image/jpeg;base64,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)
- If Numbers Are the Same, Do Addition by Double the Number.
- If addends are the same, double that number.
Example:
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)
Method
- In the above examples, we can easily count a table of given numbers up to 2. (i.e. 4 twos are 8, 3 twos are 6).
- Instead of adding the same number twice, we can multiply that number by 2. It will give the same answer.
So, we get:
![](data:image/jpeg;base64,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)
- If Numbers Are Close, Do an Addition by Double the Number.
- If two numbers are close to each other, double the smaller number.
Example:
![](data:image/jpeg;base64,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)
Method
- In the above example, 8 is close to 6, but 8 is 2 bigger than 6.
- So, first we add 6 + 6. Here we can double the number 6 and make addition easy.
- After getting 6 twos are 12, we can add 2. (Simply count 2 steps forward from 12)
- And we got our answer. This method will make addition faster.
So, we get:
![](data:image/jpeg;base64,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)
- Adding Numbers by Pairing the Numbers That Make 10
- We use number bonds of 10.
- Following are the number bonds of 10.
Example:
![](data:image/jpeg;base64,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)
Method
- In the above example, we know that adding 8 and 2 will get 10.
- So, we took away 2 from 5, and add it to 8. It will give us 10.
- If we take away 2 from 5, we will get 3.
- Now add 10 and 3, it will give us 13.
- Adding 10 plus 3 is easier than adding 8 plus 5.
So, we get:
![](data:image/jpeg;base64,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)
- Addition of Any Number With 9
- We use the following number bond of 10:
1 and 9 = 10
Example:
![](data:image/jpeg;base64,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)
Method
- In we have to add any number to 9, just remove 1 from that number and add it to 9.
- We get, 9 + 1 = 10.
- After removing 1 from the given number, it is easy to add the remaining number to 10. (Take the number that comes before number.)
So, we get:
![](data:image/jpeg;base64,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)
Addition of Any 1-Digit Number With 10
- Addition of Any 1-Digit Number With 10.
- We use the fact that if we add any number to 0 we get that same number as answer.
Example:
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/4gHYSUNDX1BST0ZJTEUAAQEAAAHIAAAAAAQwAABtbnRyUkdCIFhZWiAH4AABAAEAAAAAAABhY3NwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAA9tYAAQAAAADTLQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAlkZXNjAAAA8AAAACRyWFlaAAABFAAAABRnWFlaAAABKAAAABRiWFlaAAABPAAAABR3dHB0AAABUAAAABRyVFJDAAABZAAAAChnVFJDAAABZAAAAChiVFJDAAABZAAAAChjcHJ0AAABjAAAADxtbHVjAAAAAAAAAAEAAAAMZW5VUwAAAAgAAAAcAHMAUgBHAEJYWVogAAAAAAAAb6IAADj1AAADkFhZWiAAAAAAAABimQAAt4UAABjaWFlaIAAAAAAAACSgAAAPhAAAts9YWVogAAAAAAAA9tYAAQAAAADTLXBhcmEAAAAAAAQAAAACZmYAAPKnAAANWQAAE9AAAApbAAAAAAAAAABtbHVjAAAAAAAAAAEAAAAMZW5VUwAAACAAAAAcAEcAbwBvAGcAbABlACAASQBuAGMALgAgADIAMAAxADb/2wBDAAYEBQYFBAYGBQYHBwYIChAKCgkJChQODwwQFxQYGBcUFhYaHSUfGhsjHBYWICwgIyYnKSopGR8tMC0oMCUoKSj/2wBDAQcHBwoIChMKChMoGhYaKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCj/wAARCABSAPEDASIAAhEBAxEB/8QAHAABAAICAwEAAAAAAAAAAAAAAAQFBgcBAggD/8QARxAAAQMDAgMFAgsDCQkBAAAAAQIDBAAFEQYSISJBBxMUFTFRYRYjMjNCUlRiY3GBCDRDFzVWkZShsdHSJzdTcnN0pLLBhP/EABoBAQADAQEBAAAAAAAAAAAAAAABBAUDAgb/xAAuEQABAwIEBgEEAQUAAAAAAAABAAIDBBESFDFRBRMVIUFSMgYzcYHRImGRocH/2gAMAwEAAhEDEQA/APVHStfK1rOutzhuaeYaFnafkR7h49hxp8qRlKSyDwI3epI9Bj1yBK7XZqI+lG4bvmqRdJbMAP2xwNvMFZJDm7oAU8cdDUBCdqQnJOBjJOT/AF1bpYBJ3dos2vq3QgNZqVEt0nVrAsvjdStyVRFPGdi3to8cFZ7sHB+L2cOKfXHGuIb+rmm7aJGqEPqjyVuylG2tp8W0TytHB5Nv1k8T1qdSr+Vi2WTn5/ZQmpGrUtRkr1Oha27j4l1XlzY72N9mxngPxBzVwZGre7WkaoQFm6eLCvLW+WJ9kxniPxPlVOpTKxbKc/P7KDKkaucanJY1QhlT01L7CvLmleHYHqxgnmB+ueYVzcJGrX2rwmJqdEVcp1tcNQtza/BITjegAn4zd7VcRnhU2lMrFsoz8/soVyk6skG+mFqZEMTO58ABbm3PL9uO8xk/Gb+PyvTPCu0+Vqt926qiakRFRJYbbiJFvbX4NwfKcBJ5931VcB0qXSmVi2TPz+yivStVrcllvUiG0uwBHZSLe2e5kAcZHE8xP1Dy1x4rVfe7vhKjZ5X4Pb5e3+9/a859fw/k1LpTKxbJnp/ZRWZWqkORC5qRDiWoBjvJNvbHfSCOEjgeUj6g5aQJWqmHbUqXqREpEZhxuWk29tHjHD8lwkHk2+xPA9alUplotkz8/soVtkasjqsRm6mRMEPvvHg25tvzDdnu84Pxezh8n1xxri3yNWsNWcS9UIlLiuuLmKNubR41Cs7EEA/F7eHFPE441OpTKxbKc/P7KDFkatbagpf1Qh5TM1T76vLm0+IYPoxgHlA+uOagkat7tCTqhBWLp4sq8tb5on2TGeA/E+VU6lMrFsmfn9lCdkatU1JSjU6ELcuPiWleXNnuo32bGeI/EPNXEyRq11u5iPqhDCpElDsVQtzavCNA8zQyefd9ZXEdKnUplYtkz8/soNykatkIvYhanRDVLUyYKhbm3PABOO8A3H4zfx+V6Z4V3uEnVb670YepEREy22kwUi3tr8CpI51DJ+M3+xXAZ4VLpghta8ZCBuI9vu/WodTxNFyFLKyoecIcokqVqt124KY1KhhD8RLMdAt7avDPD5TwJPMT9U8BmuXZWq1OvKRqRCEKtnhUJ8vbOyV9qznifwzy1MtSlOLc8wQ2E4wlLWRjj7evDHSpkpqN3JUwFpUOhOc1XBgLsJb3VxwqwzmB1wqduVqtLrKl6kQtCbZ4VafL2xvlfas54H8MctcRZWq2nbep/UqH0MRFMyEm3tp8S8fkvEg8pH1RwOKl0qzlYtlRz0/solvlarYcspmakRLTEbdTOSbe2jxylDkUcH4vZ7E8DjjXFqk6sjJsYn6lRO8Ip4z1G3ttGeFZ7scpw3s4fJ9etTKUy0WynPz+ym6R1fLkSYFm1Ow23qCUh90eAacVG2NqwOcjgSkg4OOPsyAc3rUmrGPEaemjvbo1sR3ubUsokqCOYpbPUqA2465xWz7PMNwtMKaY8iKZLCHixJRsda3JB2rT0UM4I6EGs2phETu2i2qGpM7P6tQptKZpVdXVhParCXNtdnKLTHufcXaO8S8/3XhQN3x6frKTnAT13H2VAqb2rwfHWuynyPzfw93jv58V3Hgsbh4n7+3ONnXd7qhVqUPwKweLfcb+EpSlXVlJSlRLvcYtotkm4XF5LMSOguOLV0A/xPQDqaE2UgEmwSdcoNvUwm4TY0VT6w20HnUoLiz6JTkjJ9wqXXknWGoLtfu2e0G8NORUszIvhoizxZbWpC07h9chQKvfw6CvW1cYpeYTbwrNRTclrST3KUpWG9sMyTb+za+SoEh6NJbbQUPMrKFpPeJHBQ4jhXVxwglV4243Bo8rMqVU6Tdcf0rZnXlrcdchMqWtaiVKUUAkkn1JNW1SDcXUOFjZK6OutstKceWlttAypajgAe0mjwWplYZWEOlJCVKTuCTjgSMjP5ZFeXf2jYV6tVxtqLjqKXcosxClhlaQ022pJHohPL9IccZ4eprlNJy24rXXemgE78F7L1BFkMy47ciK828w4kKQ42oKSpJ9CCOBFdnnW2GluvLQ20gZUtagAke0k+lYz2W/7udN/wDYM/8AqK0720akfvXanZtItrKrWzKjIkMJPB5xakk7vaAlQAHQ5qHy4WBx8r1FTcyUsB7Bb7tl6td2KxarlCmlv5Yjvoc2/ntJxVhWhP2k3nrBdtJ36zrEWeyp1vvGxglKdhSk+1PFQweBCiK3LpO8I1Bpm2XZtISJcdDpQPoqI5h+hyP0qWSYnFh1C8ywYY2yt0KtqVGuE+HbYipVxlx4kZJAU6+4G0Ak8MqJA41T/DfSn9JrH/b2v9VdC4DUri2Nzu4CyGindrexRCUFQJVj+r9Kx74b6U/pNY/7e1/qq2tlygXaMZFrmxZsfcUFyO6lxO4eoyCRniK8PwyDCCuseOF2Jzey7yXJDQK4zZdI9UD1P5V3gOTJLSlOx1ND6p4mrKzx0oQ8rJIyAEnp61HupW5KZbZkKY25UopTkkDpWTLIIpMT/C34YubBhYTY/wCV8qVUK1S0zfpqHnCiGkJDO9vKt2BkemTxJ/qFWsa9R5BHFaQfQuslIP8AWMVXf9RRtcQGEgeV4H07JYEvAuu1KllpDw5Bsc6AHgf8qiEYOD61rUVfDWsxRH9LHrKKWkdhlCrtSKCdO3QqXLbAiukrh/Pp5Dxb++OnvxWf6RUFaUspS5OdSYTBDk/95UO7HF38Q/S9+awDUjoZ07dHVPvRkoiuqL7CdzjYCCdyR1UPUD2is/0g8JGlLK8mVIlpchMLEiQna68C2DvWOij6kdCTXGv1C0OE/Fyt6UpVBbCwbtYhol2uyFy0yrl3N3jPJLD3d+FI3fHr+slOcFPXcPZUOpfaywh612PfDuknu7xGWkwFbQ0Ru53va0M8R7SKiVqUPwKweK/cb+EpSlXVlJWq5OprFqfVqhdL3bIlisr+G40iW22qZKSflqSog92joMcVZPECtqVqOd2B6XmzX5Ts69Bx5xTigl5rGSST/D9ONcpsZthF1apjECTIbbLUPaFdIErt9FwizYr0DxsJXiW3UqbwlDQUdwOMDBz7MGvWkOVHmxW5MJ9qRHcG5DrSwpCh7QRwIrxpq/SECzdrXwYiuylW/wATGZ7xxSS7hxLZVxAAzznHD2etev8ATdnj6fsUK1QlurjxGw2hTpBWR7yABn9Kr0uLE66ucQDOXHY+P9Kv11E1HMsga0dcItvufepJekJBT3eDkcUK45x06etaa7R7N2pRtFXR7UWpLTLtKUJL7LLSQtY3pwAQynrjqK9D1inanaZt90BeLbame/myG0pbb3hO4haT6qIA4A+td5o8QJuqlNPy3BpAtfUrXGn7H2vOWG2rt+qrK1DVGbUw2tpJUlspG0H4g8QMdTW3NLMXaNYIbOo5TMu7JSe/eZACFnccEAJT0x0FfTTMZ6Fpu1RZKNj7ERppxOQdqkoAIyOB4jpVlUxx4e914nn5htYfoJXnH9rP9/03/wBN/wDxRXo6vNf7V8lly82CO24hTzLLqnEA5KQopxn2Zwf6q8Vf2iu3Dvvj9rdfZZ/u403/ANgz/wCorzdeC4f2kG+++V5+wB/y96jH92K9GdkshmR2badUw6hwIhttqKCDtUAAQfeD0rUnbRpt6x9qVl1g2gi2uyoy5DwHBlxtSRlXQApSCD1Oa5TAmNpHiy70rg2d7T5upn7Wf82ac/6r/wDgis97BN/8ktg7zdu2vfK9cd+5j+7FYJ+0mw/qK7aSsdlT4ua8XnO6a5iEq2BKiR6J4KOTwwCa3LpOzo0/pq2WltQUIkdDRUBjcoDmP6nJ/WvUbSZ3O8LnM4ClYw63UDtE+DvwUk/DL+ZdyO9+c9dw2/N83rj0rT/+wTB9P/PrflxgQ7nFVFuMSPLjKIKmn2w4gkHhlJBHCqf4E6V/ozY/7A1/prrJGXG4A/a4wTtY2zi4fgrTf+wT3f8An1tjsy+C3wbV8Bv5p79WfnfnMJz85zem33VM+BOlf6M2P+wNf6atbZbIFqjeHtcKNCj7iruo7SW07j6nAAGeAqI43NNyApnna9tmlx/J7K6iPBqNxOMqP/yoDLyX50niNyQkD8uNdLwS3Y1uJ4OJClJ49elR5MNxEyC6y6pshG13bjnGPTiDWDxOnfUh0bNbr6Ph8rYI2vfoAolps7dvkLkXB1D0uQv51X0M9Bn/ABq5wQvA49Kr3reZD6JM6WpTTHOG9oSkH/Emvuq6xE/SUCrpjJP+dUqaqdwmIw1Ni46Af9XuppxxWRs1OSANT4/SmbxGYBUQAhIzjpSWQZCynG0nIxVe6p2etAKFNRAQo7uCnP06CpZOTk1Z+naSWMvmeLA6BVPqCpieGQsNyNVXajeEbT10fVMVBDcV1ZlJb7wsAIJ3hP0in1x1xWf6SkCXpSzSUT1XJL0JlwTVNd0ZILYPeFH0SrO7b0zisB1C8Y1gub6ZggqaiurEpTfeBghBO8p+kE+uOuKz/SkhUzS9nkrnpuSnobLhmpa7oSSUA94EfRCs5x0zitev1Cp8J+LlbZpSlZ62Fg3azs8rsneee/zvH2+U+meb94/A+t79tQ6mdrLzbNqspcl3aNuu8dI8vGQ6ebke/BP0veE1DrVofgVg8V+bfwlKUq6spKUpRFVSdOWSVcfMJVmtr0/clfiXIqFO5TgJO4jORgY48MCrWlKAAaKS4u1KUpSihKUpRF1cQl1tSHEpWhQIUlQyCD6giqA6J0qfXTNjP/4Gv9NZDSoLQdV6a9zfiVV2vT1ltD6n7VaLdBeUkoLkaMhpRSSCQSkA4yAce4VYPstvsrafbQ60sYUhaQUkewg19KVIAHYKC4uNyVX2uyWq0lw2q2QYRX8sxo6Gt357QM1YUpQADRC4k3KUpSihKUpRFw40ZhajLyGQdyz7hxx+tcvvB+SS0MNN8oPtNSEyozJajSFEd9nmCTwOPQn8qNwt5WiCe9Q3gHjxH+dZjMHPJcVvS8zKta0XJVRe17YzI9E7lFR/QY/+187Iw34dUnbuW4s7VkZ5RjGPdnNfbUKnIzSYjzKdjyNyw4nORnGMH8v76+lmfQ7AEZhjY1GQPT0TkgAD8xXzokiPGiT3/lbDopm8GDR2/i6k0pSvtV8Sq/UDhZsFzcS+zGUiM6oPPp3NtkIJ3KHVI9SPYK2BpV5UjTFoeVJjy1OQ2VmRGRtaeJQDvQOiT6gdARWvtRK2afuag5EbIjO4XM+YSdp4ufc9vuzWwtL7vgzae8cguL8IzuXA/d1HYMlr8M/R92Kza/ULb4T8XK0pSlUFsKk1jZ377p6Tb4lxk219wpKZMbHeJwoEgZ4cQCnj7c9KwSzXTzKGy67ElW+Q4lSvBzW+7fSlKinJRn0OPX3itq1QX3SNnvcx2dLi7bkqG5ARNaO15ppfrsPoCDxBxw4+05sU85iP9lSq6QVAHexCxqlT2ezuA05EUm7X4pjwDB2Kmkpcz/GXw4u+xXp7qQOzyFEctSzeL/I8Aw4wQ/N3CTu+m9wG5Y6EYx7DVzPM2Wd0qTcKBSp1t7OoUFVjJvWoJPlffA+Im7vG95n945Rv2Z5cYxgetdbf2cQobVnQb3qGR5c646VPztxl788r/KNyU54AYxjrTPM2TpMnsFDpUyL2cQmGoSDe9RO+FmqmFTk7JeB/gucvFodE8D76Ds4hBtCPO9Rct08z3GdxI+zHl+Y+56++meZsnSZPYKHSpjvZxCcako871CnvriLhuTOwWx/wE8vBn7vr76S+ziFJbuSBfNRM+NkokhTU7aY+0/NtcvKg9Qc59tM8zZOkybhQ6VNufZzCnIvaRe9QxfM1MqBjzdph930Y5TsCsc2c5z0rtcOzyFNcvSxeL/H8yQ02EsTdoh7B8pjgdhV9InOfdTPM2TpMnsFApU+V2dwpDtwX5zf2vFxExAlqbgMbf4rfLyuHqeOfZXLnZ5CW48vzi/p7y2+W7UzeCD9oTw4P/f8AT3UzzNk6TJuFX0qwb7PISHGV+cX9Xd23y3aqbwWftCuHF/7/AKe6uIvZ3Cju29fnN/d8JEXEKXZuQ/u/iucvM4Oh4Y9lM8zZOlSbhQKVPt/Z5ChOWVZvF/k+WodbKX5u4TN4+U/wG8p+iRjHvrrbOzmFBRZEm96hleWKeUTIm7jM7zo/yjeE55cYxjrTPM2TpMnsFCpUyJ2cQozdtSb5qJ7wUlckqdnZMjcfm3eXmQOgGPzo12cQm2oyPO9Qq7m4m4blTslwf8BXLxZ+76++meZsnSZNwodKmHs4hFtaPPNRDddPM93juIH2YcvzH3PX30ldm8J9qajzzUTXipqZgU3OwWQP4LfLytHqniffTPM2TpT/AGCihxYTt3Hb7D6V2ZfcZx3Sijjnl4VIuHZxCmNXhAveoY/mLrboUxO2mJsxyscp2pVjiDnOelc3Ls6hTlXwi9agjeadyB4ebt8F3eP3flOzfjmznOT6V5NXGdWr2OHTDR6+E5bFwSgToyXVJ9FBRSf7q6Ru5iRlsQ2EtNrOV8SoqP5mpk/s8hTHLqsXm/x/HsNsBLE3aI236bPA7VnqTnPsFHuzyE65LV5xf0eIgCDtRNwGiB8+jhwdPVXEe6uAfTB/MDO6sOgrHM5Zk7KBSp/8ncLvN/nN/wD5r8s2+N4Z+0/J+f8Av+nurmP2eW5t2Ip653qS2xAMBbL8vciQD6uuDAJd+8CPyqznmbKp0p/sFilzcdvFx+Dlmctjl1W2iU9GuLS1sriFwJcyAMHIyNuePH8xtmLHZiRWY0VtDLDKEtttoGEoSBgADoAOFRLBZoVhtUW3WxotxozYZbC1lagkZwCpRJOMn1NWNUZpjK65WrS0wp2YQueNKZpXFWUpSlESlKURKUpREpSlESlKURKUpREpSlESlKURKUpREpSlESlKURKUpREpSlESlKURKUpREpSlEX//2Q==)
Method
- In the above example, we have to add Ones place numbers.
- The number 10 has 0 in its Ones place.
- Adding any number to 0 gives us that number itself as an answer.
- So, to add any 1-digit number to 10, just replace the number 0 in 10 with that 1-digit number.
So, we get:
![](data:image/jpeg;base64,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)