{"id":146,"date":"2023-02-02T19:26:17","date_gmt":"2023-02-02T19:26:17","guid":{"rendered":"https:\/\/www.matematikazavsicki.com\/en\/?p=146"},"modified":"2023-02-03T13:23:27","modified_gmt":"2023-02-03T13:23:27","slug":"addition-and-subtraction-of-decimals","status":"publish","type":"post","link":"https:\/\/www.matematikazavsicki.com\/en\/addition-and-subtraction-of-decimals\/","title":{"rendered":"Addition and subtraction of decimals"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">How to solve problems with addition and subtraction of decimals? On this page, you can review the rules that we should follow when adding and subtracting decimals. Apart from the rules, every reader can see many solved examples in video format.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Rules for addition and subtraction decimals<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">To successfully solve problems with addition and subtraction of decimals, we should follow the following rules:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Arrange the numbers one below the other (whether they are two, three, or more in number) making sure their decimal points are exactly on top of each other! This helps us correctly add or subtract decimal numbers (by place value), e.g. tenth with the tenth, hundredth with hundredth, thousandth with thousandth, etc.<\/li>\n\n\n\n<li>After the appropriate arrangement, we operate with decimal numbers as if they were whole numbers.<\/li>\n\n\n\n<li>We write the decimal point in the result right below the decimal points of the individual decimal numbers we are working with.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Examples of incorrect and correct placement<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In this section, you can see examples of correct and incorrect settings of the decimal numbers we operate with.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In the first picture below you have a display of incorrectly placed decimal numbers!<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/en\/wp-content\/uploads\/2023\/02\/Misplaced-decimals-when-adding.jpg\" alt=\"Misplaced decimals when adding\" class=\"wp-image-162\" width=\"141\" height=\"118\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">As can be seen in the image above, the decimal points of the numbers 34.56 and 1.22 are not placed one below the other. Therefore the setup is not correct!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In the next picture below you have a view of what a correct setting of decimal numbers looks like! Look at the picture!<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/en\/wp-content\/uploads\/2023\/02\/Correctly-place-decimal-numbers-when-adding.jpg\" alt=\"Correctly place decimal numbers when adding\" class=\"wp-image-164\" width=\"148\" height=\"117\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">In the second image, the decimal points are exactly one below the other. This is the correct way to place decimal numbers before addition or subtraction. Once the decimal numbers are correctly placed, we can easily calculate their sum!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We add decimal numbers (The same rules apply when subtracting decimal numbers)!<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In the local value of hundredths, there is only the digit 6 in the first number, so we write 6 in the result.<\/li>\n\n\n\n<li>We add 5+5 = 10 to the local value of tens, then we write 0 in the result and transfer one to the local value of units.<\/li>\n\n\n\n<li>Local value units: 4+5+1=10, so we write 0 in the result and transfer one to local value tens.<\/li>\n\n\n\n<li>We add 1+3+1=5 to the tens place value, then write 5 in the result.<\/li>\n\n\n\n<li>There is only one digit 3 on the place value hundreds! We do not transfer anything from tens, so we write 3 in the result.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The entire solution is presented in the image below:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/en\/wp-content\/uploads\/2023\/02\/Result-of-addition-and-subtraction-of-decimals.jpg\" alt=\"Result of addition and subtraction of decimals\" class=\"wp-image-166\" width=\"148\" height=\"168\" srcset=\"https:\/\/www.matematikazavsicki.com\/en\/wp-content\/uploads\/2023\/02\/Result-of-addition-and-subtraction-of-decimals.jpg 295w, https:\/\/www.matematikazavsicki.com\/en\/wp-content\/uploads\/2023\/02\/Result-of-addition-and-subtraction-of-decimals-264x300.jpg 264w\" sizes=\"auto, (max-width: 148px) 100vw, 148px\" \/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">Video examples with addition and subtraction of decimals<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">The video below contains some solved examples with addition and subtraction of decimal numbers*!<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/youtu.be\/bRqMz85OcLw\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"337\" src=\"https:\/\/www.matematikazavsicki.com\/en\/wp-content\/uploads\/2023\/02\/Addition-And-Subtraction-Of-Decimal-Numbers.jpg\" alt=\"Addition And Subtraction Of Decimal Numbers\" class=\"wp-image-160\" srcset=\"https:\/\/www.matematikazavsicki.com\/en\/wp-content\/uploads\/2023\/02\/Addition-And-Subtraction-Of-Decimal-Numbers.jpg 600w, https:\/\/www.matematikazavsicki.com\/en\/wp-content\/uploads\/2023\/02\/Addition-And-Subtraction-Of-Decimal-Numbers-300x169.jpg 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">*Addition and subtraction are handled in the same way, respecting the same rules mentioned above on this page!<\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n<form role=\"search\" method=\"get\" action=\"https:\/\/www.matematikazavsicki.com\/en\/\" class=\"wp-block-search__button-outside wp-block-search__text-button wp-block-search\"    ><label class=\"wp-block-search__label\" for=\"wp-block-search__input-1\" >Enter the mathematical term you want to explore!<\/label><div class=\"wp-block-search__inside-wrapper\" ><input class=\"wp-block-search__input\" id=\"wp-block-search__input-1\" placeholder=\"What do you want to study?\" value=\"\" type=\"search\" name=\"s\" required \/><button aria-label=\"Search\" class=\"wp-block-search__button wp-element-button\" type=\"submit\" >Search<\/button><\/div><\/form>\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Follow the information and materials that will be published in the future by connecting the <a href=\"https:\/\/www.matematikazavsicki.com\/en\/\">www.matematikazavsicki.com\/<\/a>en profiles on Facebook, and Youtube using the buttons below.<\/p>\n\n\n\n<div class=\"wp-block-wpzoom-blocks-social-icons is-style-with-canvas-round\" style=\"--wpz-social-icons-block-item-font-size:65px;--wpz-social-icons-block-item-padding-horizontal:6px;--wpz-social-icons-block-item-padding-vertical:6px;--wpz-social-icons-block-item-margin-horizontal:5px;--wpz-social-icons-block-item-margin-vertical:5px;--wpz-social-icons-block-item-border-radius:50px;--wpz-social-icons-block-label-font-size:16px;--wpz-social-icons-block-label-color:#2e3131;--wpz-social-icons-block-label-color-hover:#2e3131;--wpz-social-icons-alignment:center\"><a href=\"https:\/\/www.facebook.com\/mathforallvideo\/\" class=\"social-icon-link\" title=\"Facebook\" style=\"--wpz-social-icons-block-item-color:#1877F2;--wpz-social-icons-block-item-color-hover:#1877F2\"><span class=\"social-icon socicon socicon-facebook\"><\/span><\/a><a href=\"https:\/\/www.youtube.com\/@mathforallvideos\" class=\"social-icon-link\" title=\"Youtube\" style=\"--wpz-social-icons-block-item-color:#e02a20;--wpz-social-icons-block-item-color-hover:#e02a20\"><span class=\"social-icon socicon socicon-youtube\"><\/span><\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>How to solve problems with addition and subtraction of decimals? On this page, you can review the rules that we should follow when adding and subtracting decimals. Apart from the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":172,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,4,5,11],"tags":[39,41,42,28,40],"class_list":["post-146","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-5th-grade","category-6th-grade","category-7th-grade","category-algebra","tag-addition","tag-decimals","tag-examples","tag-numbers","tag-subtraction"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Addition and subtraction of decimals - Math For All<\/title>\n<meta name=\"description\" content=\"How to solve problems with addition and subtraction of decimals? 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