Receiving Helpdesk

what is the opposite of a rational number

by Miss Rowena Fadel Sr. Published 3 years ago Updated 2 years ago

irrational numbers

What is an antonym for rational?

rational | definition: consistent with or based on or using reason | synonyms: sensible, reasoning, lucid, coherent, logical| antonyms: unreasonable, insane ...

Is one and a half rational or irrational?

Yes, there is such a thing as an irrational number. An irrational number is one that cannot be expressed as a ratio. Examples of of rational numbers are numbers like one half which can be expressed as .5 or 1/2, or one third which can be expressed as .33333… or 1/3. An irrational number is one that cannot be expressed that way.

What is the opposite of rationally?

What is the opposite of rational? Contexts Opposite of based on or in accordance with reason or logic Opposite of able to think sensibly or logically Opposite of endowed with the capacity to reason Opposite of reasonable and convincing … more Adjective Opposite of based on or in accordance with reason or logic illogical groundless invalid

What is the opposite of rationality?

McDonaldization has some serious disadvantages. Rational systems inevitably spawn irrationalities that limit, eventually compromise, and perhaps even undermine their rationality. The irrationality of rationality is simply a label for many of the negative aspects . of McDonaldization. Irrationality can be seen as the opposite of rationality. Most

How do you find the opposite of a rational number?

0:142:37Opposites & Absolute Value of Rational Numbers - YouTubeYouTubeStart of suggested clipEnd of suggested clipIf they are the same distance from zero on a number line so for example the opposite of 5 isMoreIf they are the same distance from zero on a number line so for example the opposite of 5 is negative 5 because 5 is 1 2 3 4 5 of course away from 0 and negative 5 is also 1 2 3 4 5 away from 0.

Is the opposite of a rational number always negative?

A rational number is said to be negative if its numerator and denominator are of opposite signs such that, one of them is positive integer and another one is a negative integer. In other words, a rational number is negative, if its numerator and denominator are of the opposite signs.

What is the opposite of an irrational number?

A rational number is one that can be written as the ratio of two integers. An irrational number is the opposite, one that cannot be written as a ratio of two integers.

What is the opposite of 9?

9 is the same as saying: 91 because any number divided by 1 is itself. So we will flip: 91⇒19 is the reciprocal.

What is the opposite of 19?

−19The opposite of 19 is −19.

What is the opposite of 12?

-12The opposite of -12 is 12.

What's the opposite of an integer?

Students learn that the opposite of an integer is the same distance from zero on the number line as the original integer, but on the opposite side of zero. For example, the opposite of +5 is -5, and the opposite of -5 is +5.

What is the opposite number of integers?

The opposite of a positive integer is a negative integer. So, the opposite of the integer +20 is −20.

What is the opposite of 6?

opposite of 6 is 1.

What is the opposite of 16?

-16 is a negative integer. To find its opposite, change the negative sign to a positive sign. The answer is that the opposite of -16 is +16 or 16. Let's look at another example.

What is the opposite of 28?

−28The opposite of 28 is −28. Step 2: These integers on number line are as shown below.

What is the opposite of 25?

– 25(vii) The opposite of 25 is – 25.

What is rational number?

Rational numbers are numbers that can be expressed as a b, where a and b are integers and b is not equal to 0. Example: fractions like 1 4 or decimals like 0.25

What is the opposite of a positive number?

Positive numbers are numbers that are greater than 0. Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0.

What is the opposite of 0?

Negative numbers are on the opposite side of 0 from positive numbers. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then −0 = 0. The opposite of the opposite of a number is the number itself.

What is the opposite of m in a graph?

In the diagram, m is the opposite of n, and n is the opposite of m. The distance from m to 0 is d, and the distance from n to 0 is d; this distance to 0 is the same for both n and m. The absolute value of a number is its distance from 0 on a number line.

Is a dot always a positive number?

No. If the dot starts on a negative number, it will always land on a positive number. The dot moves the same distance from 0, but on the opposite side of 0. The opposite of a negative number is a positive number.

What is a rational number that is less than 0?

For example, a rational number which is 2/3 less than 0 is "-2/3".

What is the difference between positive and negative rational numbers?

Understand that positive and negative rational numbers are used together to describe quantities having opposite directions or values. Positive rational numbers are numbers greater than 0. Positive numbers can be written with or without a plus sign.

What is a positive number?

Positive numbers can be written with or without a plus sign. For example, 2/5 is the same as +2/5. Negative numbers are numbers less than 0. Negative numbers must always be written with a negative sign. For example, a rational number which is 2/3 less than 0 is "-2/3".

Can you find the absolute value of a rational number that is not an integer?

We can find the absolute value of a rational number that is not an integer the same way we find the absolute value of an integer.

image
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
8.3.21PHP Version2.74sRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[07:25:56] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[07:25:56] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[07:25:56] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[07:25:56] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[07:25:56] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[07:25:56] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[07:25:56] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[07:25:56] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[07:25:56] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • Booting (14.71ms)
  • Application (2.72s)
  • 1 x Application (99.45%)
    2.72s
    1 x Booting (0.54%)
    14.71ms
    7 templates were rendered
    • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
      Params
      0
      post
      1
      postContent
      2
      author
      3
      updated_at
      4
      bing_rich_snippet_text
      5
      bing_rich_snippet_link
      6
      bing_related_keywords
      7
      google_related_keywords
      8
      bing_news_title
      9
      bing_news_description
      10
      bing_videos
      11
      bing_images
      12
      bing_search_result_title
      13
      bing_search_result_description
      14
      bing_search_result_url
      15
      bing_paa_questions
      16
      bing_paa_answers
      17
      bing_slider_faq_questions
      18
      bing_slider_faq_answers
      19
      bing_pop_faq_questions
      20
      bing_pop_faq_answers
      21
      bing_tab_faq_questions
      22
      bing_tab_faq_answers
      23
      google_faq_questions
      24
      google_faq_answers
      25
      google_rich_snippet
      26
      google_search_result
      27
      indexedArray
      28
      total_images
      29
      total_videos
      30
      settings
      31
      url_current
      32
      menus
      33
      sidebar
    • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    uri
    GET {post}
    middleware
    web, checkdate
    as
    post.show
    controller
    App\Http\Controllers\Frontend\json_data\PostController@show
    namespace
    where
    file
    app/Http/Controllers/Frontend/json_data/PostController.php:18-166
    7 statements were executed2.7s
    • select * from `posts` where `published_at` <= '2025-06-10 07:25:56' and `slug` = 'what-is-the-opposite-of-a-rational-number' and `posts`.`deleted_at` is null limit 1
      3.33ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-06-10 07:25:56
      • 1. what-is-the-opposite-of-a-rational-number
      Backtrace
      • 15. /app/Providers/RouteServiceProvider.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
      • 19. Route binding:39
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
    • select * from `json_post_contents` where `json_post_contents`.`post_id` = 186799 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      6.47msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 186799
      • 1. 0
      Backtrace
      • 19. middleware::checkdate:30
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
      • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
    • select * from `nova_menu_menus` where `slug` = 'header' limit 1
      810μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
      Metadata
      Bindings
      • 0. header
      Backtrace
      • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
      • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
      450μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Bindings
      • 0. 1
      Backtrace
      • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
      380μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Backtrace
      • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
      2.68s/app/View/Composers/SidebarView.php:22receivinghelpdeskask
      Metadata
      Bindings
      • 0. publish
      Backtrace
      • 14. /app/View/Composers/SidebarView.php:22
      • 15. /app/View/Composers/SidebarView.php:12
      • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
      • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
      • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
    • select * from `fake_users` where `fake_users`.`id` = 12540 limit 1
      970μsview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 12540
      Backtrace
      • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
      • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    App\Models\FakeUser
    1
    Outl1ne\MenuBuilder\Models\MenuItem
    1
    Outl1ne\MenuBuilder\Models\Menu
    1
    App\Models\JsonPostContent
    1
    App\Models\Post
    11
        _token
        bvrbhQM8GyzqOC7KvB6Uy2Vf5QjeZEggFEA0b0FE
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-the-opposite-of-a-rational-number" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /what-is-the-opposite-of-a-rational-number
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:25 [ "cookie" => array:1 [ 0 => "_pk_id.64.7c30=afdeb1e62eb29251.1749520538.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6Im9YV0lmTEpwRVQ3MG1xaDBhVUFWbnc9PSIsInZhbHVlIjoiTWd4NC84OFl4MGNQYklhcEpjK1ZXbmt5VXdoTFFZOUNyWnY4dG1sWWkvanRCWkVyVzY0MnNWUm01OGo4OXVUM0xRMU1EWnFHK2NPeTI3QjBGSTVwblNGakdxTGQzdnVQNjgrbHpNQVkxalhtYm5MTzgzMVp3Y2thazVZekdYS2UiLCJtYWMiOiJhYmQwZDkyYTVkYzRjYzBlYjJhNTgxNDg5OWUyYzljNDZkYjZhNjI2NTI4Zjk5ODc1NDBlMmZkMWM1Y2Y5Yzg0IiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6Ik4xWlU3UWdmVXJMbEtId1h4Q3dVZXc9PSIsInZhbHVlIjoiUGJEUmY2a2Q1dHR4MXNsdGtKSUFJakpicWxMUTNlLzVrMGtMNUt3RHhnVUNMLzkwOXlHT2hzcW5reWNIeFhPMnBaanNXTzRMdXgyaSs2VUhPbWl3Z3huSmFmcTNYWXl2SXhMSjNGVm4yL05zYmJzT2ZlUlV2cG1PcytlckY1Z3EiLCJtYWMiOiJhMjI4ODI4ODg5NzRiZjNjNmYzZjI3MTQ4MGM3ZDJmNjc5NDAxYWI4NTk3M2MyYjEyMGEzZWU1OTMyMzgzNzFjIiwidGFnIjoiIn0%3D_pk_id.64.7c30=afdeb1e62eb29251.1749520538.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6Im9YV0lmTEpwRVQ3MG1xaDBhVUFWbnc9PSIsInZhbHVlIjoiTWd4NC84OFl4MGNQYklhcEpjK1ZXb" ] "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "216.73.216.129" ] "cdn-loop" => array:1 [ 0 => "cloudflare; loops=1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "accept-encoding" => array:1 [ 0 => "gzip, br" ] "cf-ray" => array:1 [ 0 => "94d53fd55f92f32d-ORD" ] "priority" => array:1 [ 0 => "u=0, i" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "cf-visitor" => array:1 [ 0 => "{"scheme":"https"}" ] "connection" => array:1 [ 0 => "close" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "216.73.216.129, 172.69.17.165" ] "x-server-addr" => array:1 [ 0 => "154.12.239.204" ] "host" => array:1 [ 0 => "receivinghelpdesk.com" ] ]
        request_server
        0 of 0
        array:56 [ "USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/what-is-the-opposite-of-a-rational-number" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/what-is-the-opposite-of-a-rational-number" "REMOTE_PORT" => "52882" "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php" "SERVER_ADMIN" => "you@example.com" "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "CONTEXT_PREFIX" => "" "REQUEST_SCHEME" => "http" "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "REMOTE_ADDR" => "172.69.17.165" "SERVER_PORT" => "80" "SERVER_ADDR" => "127.0.0.1" "SERVER_NAME" => "receivinghelpdesk.com" "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f" "SERVER_SIGNATURE" => "" "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib" "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin" "HTTP_COOKIE" => "_pk_id.64.7c30=afdeb1e62eb29251.1749520538.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6Im9YV0lmTEpwRVQ3MG1xaDBhVUFWbnc9PSIsInZhbHVlIjoiTWd4NC84OFl4MGNQYklhcEpjK1ZXbmt5VXdoTFFZOUNyWnY4dG1sWWkvanRCWkVyVzY0MnNWUm01OGo4OXVUM0xRMU1EWnFHK2NPeTI3QjBGSTVwblNGakdxTGQzdnVQNjgrbHpNQVkxalhtYm5MTzgzMVp3Y2thazVZekdYS2UiLCJtYWMiOiJhYmQwZDkyYTVkYzRjYzBlYjJhNTgxNDg5OWUyYzljNDZkYjZhNjI2NTI4Zjk5ODc1NDBlMmZkMWM1Y2Y5Yzg0IiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6Ik4xWlU3UWdmVXJMbEtId1h4Q3dVZXc9PSIsInZhbHVlIjoiUGJEUmY2a2Q1dHR4MXNsdGtKSUFJakpicWxMUTNlLzVrMGtMNUt3RHhnVUNMLzkwOXlHT2hzcW5reWNIeFhPMnBaanNXTzRMdXgyaSs2VUhPbWl3Z3huSmFmcTNYWXl2SXhMSjNGVm4yL05zYmJzT2ZlUlV2cG1PcytlckY1Z3EiLCJtYWMiOiJhMjI4ODI4ODg5NzRiZjNjNmYzZjI3MTQ4MGM3ZDJmNjc5NDAxYWI4NTk3M2MyYjEyMGEzZWU1OTMyMzgzNzFjIiwidGFnIjoiIn0%3D_pk_id.64.7c30=afdeb1e62eb29251.1749520538.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6Im9YV0lmTEpwRVQ3MG1xaDBhVUFWbnc9PSIsInZhbHVlIjoiTWd4NC84OFl4MGNQYklhcEpjK1ZXb" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.129" "HTTP_CDN_LOOP" => "cloudflare; loops=1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_ACCEPT_ENCODING" => "gzip, br" "HTTP_CF_RAY" => "94d53fd55f92f32d-ORD" "HTTP_PRIORITY" => "u=0, i" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_CF_VISITOR" => "{"scheme":"https"}" "HTTP_CONNECTION" => "close" "HTTP_X_FORWARDED_PROTO" => "https" "HTTP_X_FORWARDED_FOR" => "216.73.216.129, 172.69.17.165" "HTTP_X_SERVER_ADDR" => "154.12.239.204" "HTTP_HOST" => "receivinghelpdesk.com" "HTTPS" => "on" "REDIRECT_STATUS" => "200" "REDIRECT_HTTPS" => "on" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/ask/index.php" "REQUEST_TIME_FLOAT" => 1749520556.3948 "REQUEST_TIME" => 1749520556 ]
        request_cookies
        0 of 0
        array:4 [ "_pk_id_64_7c30" => null "_pk_ses_64_7c30" => null "XSRF-TOKEN" => "bvrbhQM8GyzqOC7KvB6Uy2Vf5QjeZEggFEA0b0FE" "askhelpdesk_session" => "rJ6yBiGQnpZF6WfpUky5vgfNYzZmVpZ94C8tGPtl" ]
        response_headers
        0 of 0
        array:7 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "private, must-revalidate" ] "date" => array:1 [ 0 => "Tue, 10 Jun 2025 01:55:56 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IlR2Y1Y4RXdvRU04ZlhxaTVZWnVWWGc9PSIsInZhbHVlIjoiRXJPUmdsQnk3UVdCN2FSYW85WXNVVDA1NTFsanFVZ3ZPblBPRjRLSk9VVGxtZTA4ZHIwTDErbnlIc0JuczdVS2d6OE5IbnJWOW02S1ZZN0ZLSmFoQ3JvbnlaWVdJWitFZzdVTENCeDR2YTd6S3BiQVFlSnVrbmpma3I3V0FpdEwiLCJtYWMiOiI2Zjg5M2U3MjM4NDg3YTAzMDQzZmQwOTZlM2M3Y2I2ZWM3MjE4MWIwM2YzNmZlZWVkYmE1YmI3NmY5NWNjMzcxIiwidGFnIjoiIn0%3D; expires=Tue, 10-Jun-2025 03:55:59 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IlR2Y1Y4RXdvRU04ZlhxaTVZWnVWWGc9PSIsInZhbHVlIjoiRXJPUmdsQnk3UVdCN2FSYW85WXNVVDA1NTFsanFVZ3ZPblBPRjRLSk9VVGxtZTA4ZHIwTDErbnlIc0JuczdVS2d6OE5Ib" 1 => "askhelpdesk_session=eyJpdiI6IkhPVVY4dThqNlBoTE1CVlBZQzVLV1E9PSIsInZhbHVlIjoiZVA2Vk1FV2txQzN6ZnIzaGxXY25seGR4Zy8xdmJQa1poaHBPYkt2bXhoanNkYUlZQmRxMjBIVDlLQXJpR1MwSzBRQXpsajUrM2U3anhMeFIyWjhxd0M4OVE0Zyt4ZmI0RnI2MFJkb2xTdEV4RUJGUTYzdHBuL1pPKzRSNkEvZkMiLCJtYWMiOiJiMjAzZDFiNmIyOTBmM2VjYTI2ODEyOTBlYTdhMjkzZWRkM2MyMDk0NDAxNTkzMjM0YmE3ZWRmODc3ZjEyOTc2IiwidGFnIjoiIn0%3D; expires=Tue, 10-Jun-2025 03:55:59 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6IkhPVVY4dThqNlBoTE1CVlBZQzVLV1E9PSIsInZhbHVlIjoiZVA2Vk1FV2txQzN6ZnIzaGxXY25seGR4Zy8xdmJQa1poaHBPYkt2bXhoanNkYUlZQmRxMjBIVDlLQXJpR1Mw" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IlR2Y1Y4RXdvRU04ZlhxaTVZWnVWWGc9PSIsInZhbHVlIjoiRXJPUmdsQnk3UVdCN2FSYW85WXNVVDA1NTFsanFVZ3ZPblBPRjRLSk9VVGxtZTA4ZHIwTDErbnlIc0JuczdVS2d6OE5IbnJWOW02S1ZZN0ZLSmFoQ3JvbnlaWVdJWitFZzdVTENCeDR2YTd6S3BiQVFlSnVrbmpma3I3V0FpdEwiLCJtYWMiOiI2Zjg5M2U3MjM4NDg3YTAzMDQzZmQwOTZlM2M3Y2I2ZWM3MjE4MWIwM2YzNmZlZWVkYmE1YmI3NmY5NWNjMzcxIiwidGFnIjoiIn0%3D; expires=Tue, 10-Jun-2025 03:55:59 GMT; path=/XSRF-TOKEN=eyJpdiI6IlR2Y1Y4RXdvRU04ZlhxaTVZWnVWWGc9PSIsInZhbHVlIjoiRXJPUmdsQnk3UVdCN2FSYW85WXNVVDA1NTFsanFVZ3ZPblBPRjRLSk9VVGxtZTA4ZHIwTDErbnlIc0JuczdVS2d6OE5Ib" 1 => "askhelpdesk_session=eyJpdiI6IkhPVVY4dThqNlBoTE1CVlBZQzVLV1E9PSIsInZhbHVlIjoiZVA2Vk1FV2txQzN6ZnIzaGxXY25seGR4Zy8xdmJQa1poaHBPYkt2bXhoanNkYUlZQmRxMjBIVDlLQXJpR1MwSzBRQXpsajUrM2U3anhMeFIyWjhxd0M4OVE0Zyt4ZmI0RnI2MFJkb2xTdEV4RUJGUTYzdHBuL1pPKzRSNkEvZkMiLCJtYWMiOiJiMjAzZDFiNmIyOTBmM2VjYTI2ODEyOTBlYTdhMjkzZWRkM2MyMDk0NDAxNTkzMjM0YmE3ZWRmODc3ZjEyOTc2IiwidGFnIjoiIn0%3D; expires=Tue, 10-Jun-2025 03:55:59 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6IkhPVVY4dThqNlBoTE1CVlBZQzVLV1E9PSIsInZhbHVlIjoiZVA2Vk1FV2txQzN6ZnIzaGxXY25seGR4Zy8xdmJQa1poaHBPYkt2bXhoanNkYUlZQmRxMjBIVDlLQXJpR1Mw" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "bvrbhQM8GyzqOC7KvB6Uy2Vf5QjeZEggFEA0b0FE" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-the-opposite-of-a-rational-number" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]