{"id":107,"date":"2024-04-27T20:20:56","date_gmt":"2024-04-27T20:20:56","guid":{"rendered":"https:\/\/urff.app\/?page_id=107"},"modified":"2026-09-05T17:01:01","modified_gmt":"2026-09-05T17:01:01","slug":"zahlen-und-stellenwerte","status":"publish","type":"page","link":"https:\/\/urff.app\/en\/zahlen-und-stellenwerte\/","title":{"rendered":"Numbers and place values"},"content":{"rendered":"<p class=\"wp-block-paragraph\"><strong>\u2013 ein virtuelles Arbeitsmittel, um das dezimale Stellenwertsystem besser zu verstehen.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mit dieser App k\u00f6nnen gro\u00dfe und kleine Zahlen und die Bedeutung der Stellenwerte interaktiv erforscht werden. Es ist keine klassische \u00dcbungsapp, sondern eine Experimentierumgebung, mit der du selbst forschen kannst.<\/p>\n\n\n\n<div class=\"urff-appbox\" style=\"display:flex;flex-wrap:wrap;align-items:center;gap:1rem;padding:1rem 1.25rem;margin:1.5rem 0;border:1px solid rgba(0,0,0,.12);border-radius:18px;background:rgba(0,0,0,.035)\">\n<a href=\"https:\/\/apps.apple.com\/de\/app\/zahlen-und-stellenwerte\/id1640564851\" target=\"_blank\" rel=\"noopener\" style=\"flex:0 0 auto;line-height:0\"><img decoding=\"async\" src=\"https:\/\/urff.app\/wp-content\/uploads\/2026\/09\/appicon-zahlen-und-stellenwerte-1640564851.jpg\" alt=\"App-Icon Zahlen und Stellenwerte\" width=\"96\" height=\"96\" loading=\"lazy\" style=\"width:96px;height:96px;border-radius:22%;box-shadow:0 1px 4px rgba(0,0,0,.15)\"><\/a>\n<div style=\"flex:1 1 12rem;min-width:0\">\n<div style=\"font-weight:700;font-size:1.15em;line-height:1.3\"><a href=\"https:\/\/apps.apple.com\/de\/app\/zahlen-und-stellenwerte\/id1640564851\" target=\"_blank\" rel=\"noopener\" style=\"text-decoration:none\">Numbers and place values<\/a><\/div>\n<div style=\"font-size:.9em;opacity:.75;margin-top:.15em\">Christian Urff \u00b7 iPad, iPhone<\/div>\n<\/div>\n<a href=\"https:\/\/apps.apple.com\/de\/app\/zahlen-und-stellenwerte\/id1640564851\" target=\"_blank\" rel=\"noopener\" style=\"flex:0 0 auto;display:inline-block;padding:.55em 1.1em;border-radius:999px;background:#0071e3;color:#fff;font-weight:600;font-size:.95em;text-decoration:none;white-space:nowrap\">Download from the App Store<\/a>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Once you understand how place value works, you&#039;ve acquired one of the most important skills for mathematics. Understanding numbers and place value is the foundation for many advanced topics, such as non-counting calculation strategies, semi-written and written methods, decimals, and so on.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-9-16 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"App Numbers and Place Values\" width=\"422\" height=\"750\" src=\"https:\/\/www.youtube.com\/embed\/UgQr1l73Y1M?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Operation and options in the app<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ver\u00e4ndere die einzelnen Stellenwerte durch Hoch- und Herunterziehen mit dem Finger. Wenn du \u00fcber die 9 hinausgehst, kannst du beobachten, wie die Menge \u00fcberl\u00e4uft und 10 in der n\u00e4chsth\u00f6heren Stelle geb\u00fcndelt werden. Wenn du die Zahl unter 0 bewegst, kannst du sehen, wie von der n\u00e4chsth\u00f6heren Stelle die Menge \u201eentb\u00fcndelt\u201c wird.<\/li>\n\n\n\n<li>Swipe or tap the amount under a number to change it.<\/li>\n\n\n\n<li>At the bottom of the screen you can select how the place value set should be represented, for example as number tiles, Dienes material, Euro money and much more.<\/li>\n\n\n\n<li>On the right side of the screen there are some buttons that you can use to trigger activities:\n<ul class=\"wp-block-list\">\n<li>You can use the speaker to have the number read out to you.<\/li>\n\n\n\n<li>Using the speech bubble with a check mark, you can read out the number shown and check whether you have read it correctly.<\/li>\n\n\n\n<li>For example, the symbol for pulling apart numbers represents the number 142 from the numbers 100, 40 and 2.<\/li>\n\n\n\n<li>With the dice you can roll a random new number, which you can then read out loud or change.<\/li>\n\n\n\n<li>You can use the speech bubble with three dots to say a new number yourself. The number will then be displayed as soon as you speak (with a slight delay). Please make sure to speak loudly and clearly and avoid background noise.<\/li>\n\n\n\n<li>The question mark covers individual place values, the number is read out and you have to enter the appropriate numbers.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Then there are further customization options in the app:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>With the grey arrows on the left side of the number you can show or hide additional digits and thus change the number range. You can display and explore numbers up to 100 trillion.<\/li>\n\n\n\n<li>With the grey arrow to the right of the ones you can move the comma and thus also display decimal numbers \/ decimal numbers.<\/li>\n\n\n\n<li>You can change the colors of the digits by tapping the \u201cE,\u201d \u201cZ,\u201d or \u201cH\u201d label for the ones, tens, or hundreds and selecting a new color.<\/li>\n\n\n\n<li>If you swipe a number from left to right, the number will be covered. If you tap in the cover field, you can enter a solution and you will receive feedback as to whether your solution was correct.<\/li>\n\n\n\n<li>You can also preconfigure some displays individually in the global settings.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example activities<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Damit mit der Experimentierumgebung das Zahl- und Stellenwertverst\u00e4ndnis effektiv gef\u00f6rdert wird, bedarf es passender Aufgabenstellungen, die zum Erkunden von Zusammenh\u00e4ngen und zum Nachdenken herausfordern, wie beispielsweise:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Number dictation: Represent the number 3469, \u2026<\/li>\n\n\n\n<li>Erh\u00f6he die Einer immer um eins. Beschreibe, was passiert, wenn du die 9 um eins erh\u00f6hst.<\/li>\n\n\n\n<li>Represent the number 340. What happens if you reduce the ones by one?<\/li>\n\n\n\n<li>Why doesn&#039;t this work if you want to decrease the number 0 by one?<\/li>\n\n\n\n<li>Stelle die Zahl \u201eViertausenddreihundertsechsundf\u00fcnfzig\u201c dar. Wie ver\u00e4ndert sich das Wort, wenn du die Einer\/Zehner\/Hunderter\/Tausender ver\u00e4nderst? Pr\u00fcfe deine Vermutung.<\/li>\n\n\n\n<li>Stelle die Zahl 5216 dar. Klappe die Zahlen mit dem Ausklappen-Knopf auf. Aus welchen Zahlen setzt sich die Zahl zusammen (5000 + 200 + 10 + 6)? \u00dcberlege, aus welchen Zahlen sich dann die Zahl 5316 zusammensetzt.<\/li>\n\n\n\n<li>Have a number read out to you. Now change one place. Can you read the number correctly? Use the voice input function to check whether you have read the correct number.<\/li>\n\n\n\n<li>Cover one spot (by swiping your finger from left to right). Now change another spot so that the covered spot is one (four) higher (lower). Explain how this works.<br>Zusatzfrage: Warum kannst du nicht mit der n\u00e4chsth\u00f6heren Stelle die abgedeckte Zahl ver\u00e4ndern?<\/li>\n\n\n\n<li>Tippe auf den Fragezeichen-Knopf und l\u00f6se einige Aufgaben. Zeige danach deiner Lehrkraft, wie viele Aufgaben du gerechnet hast (die Anzahl der Aufgaben wird mitgez\u00e4hlt und l\u00e4sst sich durch Klick auf die Zahl zur\u00fccksetzen).<\/li>\n\n\n\n<li>Why does the leading zero disappear in the number 0453? Why does this not change the number? Why does the zero remain in the number 204 or 240?<\/li>\n\n\n\n<li>\u00dcberlege dir eine Erkl\u00e4rung anhand der App, warum die Zahl 567 und die Zahl 765 unterschiedlich sind, obwohl die gleichen Ziffern dastehen.<\/li>\n\n\n\n<li>Schriftliches Addieren und Subtrahieren: Rechne die Aufgabe 5498 &#8211; 2345 schriftlich aus und stelle jeden Schritt in der App dar. Was passiert bei der Aufgabe 5328 &#8211; 3619? \u00dcberlege anhand der App, warum du bei manchen Stellen \u00dcbertr\u00e4ge notieren musst.<\/li>\n\n\n\n<li>\u2026<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Have fun experimenting and learning with the app!<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"712\" height=\"1024\" src=\"https:\/\/urff.app\/wp-content\/uploads\/2026\/03\/Simulator-Screenshot-iPad-A16-2026-03-31-at-10.24.30-712x1024.png\" alt=\"\" class=\"wp-image-870\" srcset=\"https:\/\/urff.app\/wp-content\/uploads\/2026\/03\/Simulator-Screenshot-iPad-A16-2026-03-31-at-10.24.30-712x1024.png 712w, https:\/\/urff.app\/wp-content\/uploads\/2026\/03\/Simulator-Screenshot-iPad-A16-2026-03-31-at-10.24.30-208x300.png 208w, https:\/\/urff.app\/wp-content\/uploads\/2026\/03\/Simulator-Screenshot-iPad-A16-2026-03-31-at-10.24.30-768x1105.png 768w, https:\/\/urff.app\/wp-content\/uploads\/2026\/03\/Simulator-Screenshot-iPad-A16-2026-03-31-at-10.24.30-1067x1536.png 1067w, https:\/\/urff.app\/wp-content\/uploads\/2026\/03\/Simulator-Screenshot-iPad-A16-2026-03-31-at-10.24.30-1423x2048.png 1423w, https:\/\/urff.app\/wp-content\/uploads\/2026\/03\/Simulator-Screenshot-iPad-A16-2026-03-31-at-10.24.30-8x12.png 8w, https:\/\/urff.app\/wp-content\/uploads\/2026\/03\/Simulator-Screenshot-iPad-A16-2026-03-31-at-10.24.30.png 1640w\" sizes=\"auto, (max-width: 712px) 100vw, 712px\" \/><\/figure>","protected":false},"excerpt":{"rendered":"<p>\u2013 ein virtuelles Arbeitsmittel, um das dezimale Stellenwertsystem besser zu verstehen. Mit dieser App k\u00f6nnen gro\u00dfe und kleine Zahlen und die Bedeutung der Stellenwerte interaktiv erforscht werden. Es ist keine klassische \u00dcbungsapp, sondern eine Experimentierumgebung, mit der du selbst forschen kannst. Zahlen und Stellenwerte Christian Urff \u00b7 iPad, iPhone Im App Store laden Wenn du [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-107","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/pages\/107","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/comments?post=107"}],"version-history":[{"count":15,"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/pages\/107\/revisions"}],"predecessor-version":[{"id":1338,"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/pages\/107\/revisions\/1338"}],"wp:attachment":[{"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/media?parent=107"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}