{"id":607,"date":"2020-08-24T04:02:28","date_gmt":"2020-08-24T04:02:28","guid":{"rendered":"http:\/\/themindpalace.in\/?p=607"},"modified":"2021-08-28T09:41:32","modified_gmt":"2021-08-28T09:41:32","slug":"playing-with-numbers","status":"publish","type":"post","link":"https:\/\/themindpalace.in\/index.php\/2020\/08\/24\/playing-with-numbers\/","title":{"rendered":"Playing with Numbers"},"content":{"rendered":"\n<p><a href=\"#summary\">Summary of playing with numbers<\/a><\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image alignfull size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"698\" src=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/title-image-1024x698.jpg\" alt=\"\" class=\"wp-image-608\" srcset=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/title-image-1024x698.jpg 1024w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/title-image-300x204.jpg 300w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/title-image-768x523.jpg 768w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/title-image-1536x1046.jpg 1536w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/title-image.jpg 1920w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>playing with numbers<\/figcaption><\/figure>\n\n\n\n<p>Let us begin it with a popular system of counting<\/p>\n\n\n\n<figure class=\"wp-block-embed aligncenter is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"epyt-video-wrapper\"><iframe loading=\"lazy\"  id=\"_ytid_48383\"  width=\"480\" height=\"270\"  data-origwidth=\"480\" data-origheight=\"270\" src=\"https:\/\/www.youtube.com\/embed\/P0teSHZxI2U?enablejsapi=1&#038;autoplay=0&#038;cc_load_policy=0&#038;cc_lang_pref=&#038;iv_load_policy=1&#038;loop=0&#038;rel=1&#038;fs=1&#038;playsinline=0&#038;autohide=2&#038;theme=dark&#038;color=red&#038;controls=1&#038;disablekb=0&#038;\" class=\"__youtube_prefs__  epyt-is-override  no-lazyload\" title=\"YouTube player\"  allow=\"fullscreen; accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\"><\/iframe><\/div>\n<\/div><figcaption>Watch the same in our YouTube channel<\/figcaption><\/figure>\n\n\n\n<h1 class=\"wp-block-heading\" id=\"summary\">Summary<\/h1>\n\n\n\n<p><strong>The<\/strong> Decimal Number system<\/p>\n\n\n\n<p>The Decimal number system has ten symbols to represent all the possible numbers we would want to write. They are 0,1,2 ,3 ,4 ,5, 6, 7, 8,9.<\/p>\n\n\n\n<p>To represent anything higher than 9, we add 0 to the original place and add 1 to its left side.<\/p>\n\n\n\n<p>In our number system, we have the idea of place value; the value of a digit depends on its place or position in the number. Beginning with one&#8217;s place at the right, each place value is multiplied by increasing powers of 10.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"125\" src=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/decimal-number-system-300x125.png\" alt=\"\" class=\"wp-image-648\" srcset=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/decimal-number-system-300x125.png 300w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/decimal-number-system-1024x427.png 1024w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/decimal-number-system-768x320.png 768w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/decimal-number-system.png 1200w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><figcaption>decimal number system<\/figcaption><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">General form of numbers.<\/h4>\n\n\n\n<p>A number is said to be in a General form if it is expressed as the sum of the product of its digits with their respective place values. Numbers can be written in general form, thus a 2 digit number a, b will be written as <\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">ab = 10 X a + b = 10a + b \nba = 10 X b + a = 10b + a<\/pre>\n\n\n\n<p><strong>Three digit numbers<\/strong><\/p>\n\n\n\n<p>A 3- digit number abc made up of digits a, b and c is written as<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><em>Abc&nbsp; = 100 X a + 10 X b + c\n&nbsp;&nbsp;&nbsp; &nbsp;= 100a + 10b + c<\/em><\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">Order of arithmetic operators<\/h4>\n\n\n\n<p>Generally the acronym PEMDAS is common. It stands for<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"296\" height=\"383\" src=\"http:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/PEMDAS.png\" alt=\"PEMDAS\" class=\"wp-image-629\" srcset=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/PEMDAS.png 296w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/PEMDAS-232x300.png 232w\" sizes=\"(max-width: 296px) 100vw, 296px\" \/><figcaption>PEMDAS<\/figcaption><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-pullquote\"><blockquote><p>PEMDAS is often expanded to the mnemonic &#8220;Please Excuse My Dear Aunt Sally&#8221;<\/p><\/blockquote><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Number game trick for dividing by 11,<\/h4>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/number-games-1-1024x444.jpg\" alt=\"\" class=\"wp-image-619\"\/><figcaption>divisible by 11 rule<\/figcaption><\/figure>\n\n\n\n<p>For any given two-digit number reverse the number and add it to the original number then on dividing it by 11, the remainder is always zero.<\/p>\n\n\n\n<p><strong>The steps followed<\/strong><\/p>\n\n\n\n<p> <strong>Step 1<\/strong> select any two digit number ab which can be expressed as 10a + b.<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">ab = (10xa)+(1xb) = 10a+b\n<\/pre>\n\n\n\n<p><strong>step 2<\/strong> reverse its digit that is a b will become BA which can be expressed as 10 b + a.<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">ba = (10xb)+(1xa) = 10b+a<\/pre>\n\n\n\n<p><strong>Step 3<\/strong> Add both the numbers that is AB + BA<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">ab+ba = (10a+b)+(10b+a)\n      = 10a+a+10b+b\n      = 11a+11b\n      = 11(a+b)<\/pre>\n\n\n\n<p><strong>step 4<\/strong> divide the number by 11 and that is 11 (A + B) divided by 11. 11 and 11 gets canceled and we have a + b hence remainder will be zero under any case.<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">11(a+b)\n-------  = a+b =&gt; Zero remainder\n11<\/pre>\n\n\n\n<h4 class=\"wp-block-heading\">Trick for dividing by 9.<\/h4>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"702\" src=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/divisible-by-9.jpg-1024x702.png\" alt=\"\" class=\"wp-image-621\" srcset=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/divisible-by-9.jpg-1024x702.png 1024w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/divisible-by-9.jpg-300x206.png 300w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/divisible-by-9.jpg-768x527.png 768w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/divisible-by-9.jpg-1536x1053.png 1536w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/divisible-by-9.jpg.png 1641w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>divisible by 9 rule<\/figcaption><\/figure>\n\n\n\n<p>for a given, a two-digit number reverses the number and subtracts the smaller number from the bigger number.<\/p>\n\n\n\n<p>&nbsp;on dividing it by 9 will always result in a zero remainder.<\/p>\n\n\n\n<p>the steps followed to understand the trick are<\/p>\n\n\n\n<p><strong>Step 1<\/strong><\/p>\n\n\n\n<p>select any two digit number ab and express 10a + b<\/p>\n\n\n\n<p><strong>step 2<\/strong><\/p>\n\n\n\n<p>reverse the number ab to ba which can be expressed as 10 b + a<\/p>\n\n\n\n<p>step 3<\/p>\n\n\n\n<p>&nbsp;subtract both the numbers that is ab minus ba<\/p>\n\n\n\n<p>so we get (10 a + b) \u2013 (10 b + a )<\/p>\n\n\n\n<p>next step<\/p>\n\n\n\n<p>it becomes 9 a minus b<\/p>\n\n\n\n<p>divided by 9<\/p>\n\n\n\n<p>9 and 9 get cancelled hence remainder will be zero under any case<\/p>\n\n\n\n<p>Alpha numeral puzzles<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Rules for<\/strong> Alpha numeral puzzles<\/h4>\n\n\n\n<ul><li>Each letter in the puzzle must stand for just one digit. Each digit must be represented by just one letter.<\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/Picture-alpha-game-300x128.jpg\" alt=\"\" class=\"wp-image-623\" width=\"300\" height=\"128\" srcset=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/Picture-alpha-game-300x128.jpg 300w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/Picture-alpha-game-1024x436.jpg 1024w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/Picture-alpha-game-768x327.jpg 768w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/Picture-alpha-game-1536x655.jpg 1536w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/Picture-alpha-game.jpg 1781w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"221\" src=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/digit-to-letter-300x221.jpg\" alt=\"one digit maps to one letter\" class=\"wp-image-645\" srcset=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/digit-to-letter-300x221.jpg 300w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/digit-to-letter-1024x756.jpg 1024w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/digit-to-letter-768x567.jpg 768w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/digit-to-letter.jpg 1152w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n\n<ul><li>The first digit of a number cannot be zero<\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"148\" src=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/2-300x148.jpg\" alt=\"\" class=\"wp-image-638\" srcset=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/2-300x148.jpg 300w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/2.jpg 599w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-pullquote\"><blockquote><p>Using simple arithmetic rules, we can find out the answers for the same.<\/p><\/blockquote><\/figure>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/using-arthimatic-rules-pic.jpg\" alt=\"\" class=\"wp-image-639\" width=\"235\" height=\"368\" srcset=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/using-arthimatic-rules-pic.jpg 573w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/using-arthimatic-rules-pic-191x300.jpg 191w\" sizes=\"(max-width: 235px) 100vw, 235px\" \/><\/figure><\/div>\n\n\n\n<p>Finding the value Q<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">  3     1     Q\n+ 1     Q     3\n------------------\n  5     0     1<\/pre>\n\n\n\n<p><strong>By inspection method<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"772\" src=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/find-value-of-CAB-1024x772.jpg\" alt=\"\" class=\"wp-image-644\" srcset=\"https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/find-value-of-CAB-1024x772.jpg 1024w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/find-value-of-CAB-300x226.jpg 300w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/find-value-of-CAB-768x579.jpg 768w, https:\/\/themindpalace.in\/wp-content\/uploads\/2020\/08\/find-value-of-CAB.jpg 1149w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Summary of playing with numbers Let us begin it with a popular system of counting Summary The Decimal Number system The Decimal number system has ten symbols to represent all the possible numbers we&#46;&#46;&#46;<\/p>\n","protected":false},"author":3,"featured_media":608,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[110,475,14],"tags":[59,58,57],"cp_meta_data":{"_edit_lock":["1630143692:2"],"_thumbnail_id":["608"],"_edit_last":["2"],"_layout":["inherit"],"_oembed_95287caaddeb112cd4edfcbd8e525566":["<iframe title=\"Introduction of Computers  Part1\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/SzIGR3gp_F4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; 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