Numbers is a
spreadsheet
A spreadsheet is a computer application for computation, organization, analysis and storage of data in tabular form. Spreadsheets were developed as computerized analogs of paper accounting worksheets. The program operates on data entered in c ...
application developed by
Apple Inc. as part of the
iWork productivity suite alongside
Keynote and
Pages. Numbers is available for
iOS and
macOS High Sierra or newer. Numbers 1.0 on
Mac OS X
macOS, previously OS X and originally Mac OS X, is a Unix, Unix-based operating system developed and marketed by Apple Inc., Apple since 2001. It is the current operating system for Apple's Mac (computer), Mac computers. With ...
was announced on August 7, 2007, making it the newest application in the
iWork suite. The
iPad
The iPad is a brand of tablet computers developed and marketed by Apple Inc., Apple that run the company's mobile operating systems iOS and later iPadOS. The IPad (1st generation), first-generation iPad was introduced on January 27, 2010. ...
version was released on January 27, 2010. The app was later updated to support
iPhone
The iPhone is a line of smartphones developed and marketed by Apple that run iOS, the company's own mobile operating system. The first-generation iPhone was announced by then–Apple CEO and co-founder Steve Jobs on January 9, 2007, at ...
and
iPod Touch
The iPod Touch (stylized as iPod touch) is a discontinued line of iOS-based mobile devices designed and formerly marketed by Apple Inc. with a touchscreen-controlled user interface. As with other iPod models, the iPod Touch can be used as a po ...
.

Numbers uses a free-form "canvas" approach that demotes
tables to one of many different media types placed on a page. Other media, like
charts,
graphics
Graphics () are visual images or designs on some surface, such as a wall, canvas, screen, paper, or stone, to inform, illustrate, or entertain. In contemporary usage, it includes a pictorial representation of the data, as in design and manufa ...
, and text, are treated as peers. In comparison, traditional spreadsheets like
Microsoft Excel
Microsoft Excel is a spreadsheet editor developed by Microsoft for Microsoft Windows, Windows, macOS, Android (operating system), Android, iOS and iPadOS. It features calculation or computation capabilities, graphing tools, pivot tables, and a ...
use the table as the primary container, with other media placed within the table. Numbers also includes features from the seminal
Lotus Improv, notably the use of formulas based on ranges rather than cells. However, it implements these using traditional spreadsheet concepts, as opposed to Improv's use of
multidimensional database
In computing, online analytical processing (OLAP) (), is an approach to quickly answer multi-dimensional analytical (MDA) queries. The term ''OLAP'' was created as a slight modification of the traditional database term online transaction proces ...
s.
Numbers also includes numerous stylistic improvements to improve the visual appearance of spreadsheets. At its introductory demonstration,
Steve Jobs
Steven Paul Jobs (February 24, 1955 – October 5, 2011) was an American businessman, inventor, and investor best known for co-founding the technology company Apple Inc. Jobs was also the founder of NeXT and chairman and majority shareholder o ...
pitched a more usable interface and better control over the appearance and presentation of tables of data.
Description
Basic model
Numbers works in a fashion somewhat different from traditional spreadsheets like
Microsoft Excel
Microsoft Excel is a spreadsheet editor developed by Microsoft for Microsoft Windows, Windows, macOS, Android (operating system), Android, iOS and iPadOS. It features calculation or computation capabilities, graphing tools, pivot tables, and a ...
or
Lotus 1-2-3
Lotus 1-2-3 is a discontinued spreadsheet program from Lotus Software (later part of IBM). It was the first killer application of the IBM PC, was hugely popular in the 1980s, and significantly contributed to the success of IBM PC-compatibles ...
. In the traditional model, the table is the
first-class citizen of the system, acting as both the primary interface for work and as the container for other types of media like
chart
A chart (sometimes known as a graph) is a graphics, graphical representation for data visualization, in which "the data is represented by symbols, such as bars in a bar chart, lines in a line chart, or slices in a pie chart". A chart can repres ...
s or
digital image
A digital image is an image composed of picture elements, also known as pixels, each with '' finite'', '' discrete quantities'' of numeric representation for its intensity or gray level that is an output from its two-dimensional functions f ...
s. In effect, the spreadsheet and the table are the same. In contrast, Numbers uses a separate "canvas" as its basic container object and tables are among the many objects that can be placed within the canvas.
[For reasons that are not mentioned in the documentation, canvases are referred to as "sheets" within the program.]
This difference is not simply a case of
syntax
In linguistics, syntax ( ) is the study of how words and morphemes combine to form larger units such as phrases and sentences. Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure (constituenc ...
. To provide a large workspace, conventional spreadsheets extend a table in X and Y to form a very large grid — ideally infinite, but normally limited to some smaller dimension. Some of these cells, selected by the user, hold
data
Data ( , ) are a collection of discrete or continuous values that convey information, describing the quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may be further interpreted for ...
. Data is manipulated using formulas, which are placed in other cells in the same sheet and output their results back into the formula cell's display. The rest of the sheet is "sparse", and currently unused.
Sheets often grow very complex with input data, intermediate values from formulas, and output areas, separated by blank areas. To manage this complexity, Excel allows one to hide data that is not of interest, often intermediate values.
Quattro Pro commonly introduced the idea of multiple sheets in a single book, allowing further subdivision of the data; Excel implements this as a set of tabs along the bottom of the workbook.
In contrast, Numbers does not have an underlying spreadsheet in the traditional sense but uses multiple individual tables for this purpose.
[ Tables are an X and Y collection of cells, like a sheet, but extend only to the limits of the data they hold. Each section of data or output from formulas can be combined into an existing table or placed into a new table. Tables can be collected by the user onto single or multiple canvases. Whereas a typical Excel sheet has data strewn across it, a Numbers canvas could build the same output through smaller individual tables encompassing the same data.
]
Formulas and functions
Consider a simple spreadsheet used to calculate the average value of all car sales in a month for a given year. The sheet might contain the month number or name in column A, the number of cars sold in column B, and the total income in column C. The user wishes to complete the task of "calculating the average income per car sold by dividing the total income by the number of cars sold and putting the resulting average in column D". From the user's perspective, the values in the cells have semantic content, they are "cars sold" and "total income" and they want to manipulate this to produce an output value, "average price".
In traditional spreadsheets, the semantic value of the numbers is lost. The number in cell B2 is not "the number of cars sold in January", but simply "the value in cell B2". The formula for calculating the average is based on the manipulation of the cells, in the form =C2/B2
. As the spreadsheet is unaware of the user's desire for D to be an output column, the user copies that formula into all of the cells in D. However, as the formula refers to data on different rows, it must be modified as it is copied into the cells in D, changing it to refer to the correct row. For instance, the formula in D4 would read =C4/B4
. Excel automates this later task by using a relative referencing system that works as long as the cells retain their location relative to the formula. However, this system requires Excel to track any changes to the layout of the sheet and adjust the formulas, a process that is far from foolproof.
During the development of Improv, the Lotus team discovered that these sorts of formulas were both difficult to use and resistant to future changes in the spreadsheet layout. Their solution was to make the user explicitly define the semantic content of the sheets — that the B column contained "cars sold". These data ranges were known as "categories". Formulas were written by referring to these categories by name, creating a new category that could be (if desired) placed in the sheet for display. Using the car example, the formula in Improv would be average per car = total income / cars sold
. Changes to the layout of the sheet would not affect the formulas; the data remains defined no matter where it is moved. It also meant that formulas calculating intermediate values did not have to be placed in the sheet and normally did not take up room. The downside to Improv's approach is that it demanded more information from the user up-front and was considered less suitable for "quick and dirty" calculations or basic list building.
Numbers uses a hybrid approach to the creation of formulas, supporting the use of named data like Improv, but implementing them in-sheet like Excel. In basic operation, Numbers can be used just like Excel; data can be typed anywhere, and formulas can be created by referring to the data by its cell. However, if the user types a header into the table, something one normally does as a matter of course, Numbers uses this to automatically construct a named range for the cells on that row or column. For instance, if the user types "month" into A1 and then types the names "January", "February", etc. into the cells below it, Numbers constructs a named range for the cells A2 through A13 and gives it the name "month". The same is true when the user types in the figures for "sales" and "income". The user can then write the averaging formula in a category-like text format, = total income / cars sold
. The formula will find the appropriate data and calculate the results independent of the row. Like Improv, this formula does not refer to the physical location of the data in the sheet, so the sheet can be dramatically modified without causing the formula to fail.[
Similar to Improv, formulas can be represented as icons in Numbers, allowing them to be dragged about the sheets. One noteworthy example of this is a sidebar that contains the sum, average, and other basic calculations for the current selection in the active table. These serve a function similar to the sum that appears at the bottom of the window in Microsoft Excel. However, the user can drag one of the function icons from the sidebar into the sheet to make the calculation appear in that location.][ In another nod to Improv, the Formula List shows all of the formulas in the spreadsheet in a separate area and allows edits in place or easy navigation to their use in the sheets.
Numbers '09 contains 262 built-in functions that can be used in formulas. This contrasts with Excel 2007's 338 functions. Many of the functions in Numbers are identical to those in Excel; missing ones tend to be related to statistics, although this area was greatly improved in Numbers '09.][
Numbers '09 includes a system for categorizing data similar to pivot tables. Pivots were introduced in Improv and were manipulated by dragging the category headers,][ allowing the user to quickly rotate rows into columns or vice versa. Although Numbers has similar draggable objects representing formulas, they are not used for this feature and direct manipulation is missing. Instead, Numbers places pop-up menus in the column headers allowing the user to collapse multiple rows into totals (sums, averages, etc.) based on data that is common across rows. This is similar functionality to a pivot table but lacks the ease of re-arrangement of the Improv model and other advanced features. Numbers 5.2, released on September 17, 2018, further improves on these features by adding Smart Categories, allowing the user to "quickly organize and summarize tables to gain new insights".
Pivot tables were later added to Numbers 11.2 on September 28, 2021.
]
Layout and display
As Numbers uses the canvas as the basis for the document, media is not tied to the tables; one could build a Numbers canvas that contains a collection of photographs but no tables. In typical use, one or more tables are placed on the canvas and sized and styled to show only the data of interest. Charts and labels are commonly positioned around the tables. Other media, like photographs or illustrations, can be added as well.
Like other products in the iWork suite, Numbers includes a variety of styles and layouts designed by professional illustrators. Opening an Excel sheet in Numbers results in a display with smooth fonts, a clean layout, and color selections. These can then be modified, optionally using one of the supplied templates, and saved out to Excel format again with these styles intact. Numbers also allows sheets to be email
Electronic mail (usually shortened to email; alternatively hyphenated e-mail) is a method of transmitting and receiving Digital media, digital messages using electronics, electronic devices over a computer network. It was conceived in the ...
ed in Excel format in a single step or shared through Numbers for iCloud
iCloud is the personal cloud service of Apple Inc. Launched on October 12, 2011, iCloud enables users to store and Data synchronization, sync data across devices, including Apple Mail, Calendar (Apple), Apple Calendar, Photos (Apple), Apple Ph ...
.
Other features
* Table-centric workflow enabling lists to be structured with headers and summaries.
* Checkbox, slider, and pulldown list cells.
* Drag-and-drop of functions from a sidebar into cells.
* A Print Preview which allows editing while previewing.
* Imports from Microsoft Excel. This lacks certain Excel features, including Visual Basic for Applications (also absent in the 2008 version of Office for Mac, although it was reintroduced for the 2011 version) and pivot tables (added in ver 11.2).
* Exports to Microsoft Excel.
Reception
Numbers has been well received in the press, notably for its text-based formulas, clean look, and ease of use. Macworld has given it high marks, especially newer versions, awarding Numbers '09 four mice out of five. They did point out several common issues, especially problems exporting to Excel and the inability to "lock" cells to prevent them from moving when the table is scrolled. Numbers for the iPhone and iPad have received similar favorable reviews.
However, version 3.0 of Numbers created an outpouring of complaints due to the loss of important business features, with the Apple support community showing a 10 to 1 ratio of dissatisfied users with the newer version of Numbers. Versions 4 and 5 of the software put many of these features back and added many new features and functionalities. In their review of Version 5, MacWorld concluded that "Numbers 5 for Mac advances the app, making it more useful for more purposes with less effort, but it’s still a shadow of full-feature business spreadsheet programs."
See also
*Comparison of spreadsheet software
Spreadsheet is a class of application software design to analyze tabular data called "worksheets". A collection of worksheets is called a "workbook". Online spreadsheets do not depend on a particular operating system but require a standards-compl ...
*Microsoft Excel
Microsoft Excel is a spreadsheet editor developed by Microsoft for Microsoft Windows, Windows, macOS, Android (operating system), Android, iOS and iPadOS. It features calculation or computation capabilities, graphing tools, pivot tables, and a ...
* Keynote (presentation software)
* Pages (word processor)
Notes
References
External links
* —official site
Numbers
��Free resources at iWork Community
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Spreadsheet software
Spreadsheet software for macOS
MacOS-only software made by Apple Inc.
2007 software
IOS-based software made by Apple Inc.
ru:IWork#Numbers