Place Value Chart vs Numbers & Place Value

Experience grouping and ungrouping in our decimal number system with this interactive place value chart. Touch the chart to create tokens and move them around with your finger. Is this always possible? Remove tokens by moving them to the top of the chart. Shake your iPad or iPhone to remove all of them. Some activities supported by this place value chart: - How can you create large numbers using the least number of tokens? - How can you remove tokens quickly without shaking the device? - What happens if a token is moved from the hundreds to the ones? And what happens if you first move it to the tens place and then to the ones? This brand new version features new options to show totals, both as a number and in written english. Furthermore it is possible to use it for decimal fractions. The educational design of this interactive place value chart has been developed by Prof. Ulrich Kortenkamp (Didactics of Mathematics, University of Potsdam, Germany) and Prof. Silke Ladel (Didactics of Primary Education, Mathematics, Saarland University, Germany). It supports the development of mental concepts for place values in decimal systems and targets elementary and primary and lower secondary education.

Explore large and small numbers and discover how place value works – interactively. This is not a drill app but an open environment for exploring and experimenting. Understanding place value is one of the most important foundations in mathematics: it underpins mental and written calculation strategies, decimals and much more. HOW IT WORKS Drag the digits up and down with your finger. Go beyond 9 and watch ten items bundle into one item of the next place. Go below 0 and see how the next place is "unbundled". Swipe or tap the quantity below a digit to change it. At the bottom of the screen, choose how the quantity is shown: place value counters, base-ten (Dienes) blocks, euro money, dot fields, 3D base-ten material and more. TOOLS ON THE RIGHT - Speaker: listen to the number being read aloud. - Speech bubble with check mark: read the number aloud yourself and check whether you read it correctly. - Expand: shows, for example, 142 as 100 + 40 + 2. - Dice: roll a random new number. - Speech bubble with dots: say a number and watch it appear. - Question mark: some places are covered, the number is read aloud and you fill in the missing digits. MORE OPTIONS - Use the grey arrows to add or remove places – explore numbers up to 100 trillion. - Move the decimal point to work with decimals down to millionths. - Tap a place label (O, T, H …) to change its color. - Swipe across a digit to cover it; tap the cover to enter your answer and get feedback. - Number words above the digits in matching place colors – optionally as "Say Ten" number words (e.g. 284 = "two hundred eight ten four"). - Many settings in the app: thousands separator, place labels, speech rate, show or hide tools and representations, protect settings. - Share a setup or task with your class via QR code. - English (UK/US) and German. - Also available in the browser: zahlen.urff.app IDEAS FOR THE CLASSROOM - Number dictation: show 3,469. - Keep adding one to the ones. What happens when you go past 9? - Show 340. What happens when you take one away from the ones? What about 300? - Show 5,216 and expand it: which numbers make it up (5,000 + 200 + 10 + 6)? What about 5,316? - Listen to a number, then change one place. Can you read the new number correctly? - Tap the question mark and solve some tasks – the app counts them for you. - Why does the leading zero in 0453 disappear? Why does the zero stay in 204 or 240?