Receiving Helpdesk

expanded form calculator

by Prof. Ken Mertz I Published 3 years ago Updated 2 years ago

What does expanded form mean in numbers?

Practice Questions on Expanded Form

  1. Write the following number in expanded form: 23,465.
  2. Write in expanded form: 5,065.
  3. Convert to standard form: 40000 + 5000 + 700 + 60 + 8.
  4. Convert to standard form: 8000 + 700 + 5.

What is an example of expanded form in math?

Solutions

  1. In standard form, this number is 37,203. In expanded form, remember to treat each digit individually to get (3 x 10,000) + (7 x 1000) + (2 x 100) ...
  2. In expanded form, this number is (1 x 10,000) + (9 x 1,000) + (2 x 10) + (2) + (5 x 0.1). ...
  3. In standard form, this number is 5000+300+70+0.02 = 5,370.02. ...

How do you write a whole number in expanded form?

Expanded Form. We can write the whole number 159 in expanded form as follows: 159 = (1 x 100) + (5 x 10) + (9 x 1). Decimals can also be written in expanded form. Expanded form is a way to write numbers by showing the value of each digit. This is shown in the example below. Example 4: Write each decimal in expanded form.

What is an example of expanded form?

  • Determine the place values of the digits for which the number is to be expanded.
  • We decompose the number while we are expanding. i.e. breaking it according to its place values. For example, 431 = 400 + 30 + 1
  • Expanded form in Maths helps us to understand how the number is formed using the place values.

How do you write a number in expanded form?

Writing the number in expanded form means to write the value of each digit then add them together to find the sum. For example, the number 1,234 has the following values: The value of 1 is written as 1,000 because it's in the thousands place. The value of 2 is written as 200 because it's in the hundreds place.

What is 2.8 expanded form?

Expanded Form of 2.8OnesTenths2.828

What is 6 in expanded form?

Expanded Form of NumbersNumberTen thousandOnes723312433567992345626

What is 149 in expanded form?

1 is in the hundreds column so is worth 100. We write 149 in expanded form as 100 + 40 + 9.

What is 0.37 expanded form?

We can write 0.37 in expanded form as 3 / 10 + 7 / 100 . Notice that we only have two non-zero digits in 0.37: 3 and 7.

How do you write 0.289 in expanded form?

Expanded FormExpanded Form.Write each decimal in expanded form. a. ... Name:Writing Decimals in Expanded Form.examples: 0.289 = 2 × (1/10) + 8 × (1/100) + 9 × (1/1000) 45.692 = 4 × 10 + 5 × 1 + 6 × (1/10) + 9 × (1/100) + 2 × (1/1000)ANSWER KEY.Expanded Form.Write each decimal in expanded form. a.More items...

What is expanded form of 13?

The expanded form of 13 is 10+ 3.

What is 300 in expanded form?

0:374:10Expanded Form Video - 1st and 2nd Grade Math - YouTubeYouTubeStart of suggested clipEnd of suggested clipWorth the 3 in this number is in the hundreds. Place so the 3 is worth 300..MoreWorth the 3 in this number is in the hundreds. Place so the 3 is worth 300..

How do you write 20.03 in expanded form?

To expand the number, we will multiply the individual digit by 10 while moving left from the decimal point and divide 10 while moving right from the decimal point. So, the expanded form of the number 20.03 will be: 20.03=2×10+0×1+0×110+3×1100.

How do you write 612 in expanded form?

With the help of the Word Form and Expanded Form Calculator , you can make your 612 expanded notation calculation easily along with an elaborative explanation for the solution ie., 600+ 10+ 2.

How do you write 560 in expanded form?

The number 560 in English is written as Five Hundred Sixty.

How do you write 107 in expanded form?

107 in Words: One Hundred Seven.

What is Expanded Notation in mathematics?

In mathematics, Expanded Notation is a way of writing the given number place values in digits as a mathematical expression. For instance, the expan...

How do you write 795 in expanded form?

First, take the given number and split the individual digit and multiply with digits place value and finally sum up all the values to get the origi...

Can I get solved examples for an expanded exponential form of a number?

Yes, you can avail worked examples for an expanded number exponential form from this page along with an illustrated explanation.

What is the expanded form and word form for Number 967?

The expanded form for 967 number is 900 + 60 + 7 and the word from for 967 is nine hundred sixty-seven.

What is an Expanded Form Calculator?

Expanded Form Calculator is an online tool which shows the expanded form of a number. This calculator helps you to get the expanded form of any number within a few seconds.

How to find the Expanded Form of a Number?

The expanded form of a number is the separation of digits in the number based on their place values. For example, the expanded form of 7329 is 7000+300+20+9. This expansion is done according to the respective place values, where, 7 is at the thousands place, 3 is at the hundreds place, 20 is at the tens place and 9 is at the ones place.

Expand algebraic expressions

the expansion calculator allows to expand online all forms of mathematical expressions, the expression can be alphanumeric, ie it can contain numbers and letters :

Special expansions online

The expansion calculator makes it possible to expand a product, it applies to all mathematical expressions, especially the following identities :

Use of Newton's binomial formula

Newton's binomial formula is written : ( a + b) n = ∑ k = 0 n ( n k) a k ⋅ b n - k . The numbers ( n k) are the binomial coefficients , they are calculated using the following formula : ( n k) = n! k! ( n - k)! .

Expand and simplify an expression

The calculator allows you to expand and collapse an expression online , to achieve this, the calculator combines the functions collapse and expand. For example it is possible to expand and reduce the expression following ( 3 x + 1) ( 2 x + 4), The calculator will returns the expression in two forms :

What is an expanded form calculator?

Expanded Form Calculator is a free online tool that displays the expansion of a given number. BYJU’S online expanded form calculator tool makes the calculation faster, and it displays the expanded form of a number in a fraction of seconds.

How to expand a number in Excel?

Step 1: Enter a number in the input field. Step 2: Now click the button “Calculate” to get the expansion of a number. Step 3: Finally, the expanded form of a number will be displayed in the output field.

When is the expanded form of a number 4825 written?

For example, the expanded form of a number 4825 is written as 4000+800+20+5. 8 – Hundreds place, i.e. 800.

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 Version741msRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[12:01:24] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[12:01:24] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[12:01:24] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[12:01:24] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[12:01:24] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[12:01:24] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[12:01:24] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[12:01:24] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[12:01:24] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[12:01:24] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[12:01:24] LOG.warning: mt_rand(): Passing null to parameter #2 ($max) of type int is deprecated in ...
  • Booting (11.51ms)
  • Application (729ms)
  • 1 x Application (98.4%)
    729.02ms
    1 x Booting (1.55%)
    11.51ms
    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 executed710ms
    • select * from `posts` where `published_at` <= '2025-06-20 12:01:24' and `slug` = 'expanded-form-calculator' and `posts`.`deleted_at` is null limit 1
      3.42ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-06-20 12:01:24
      • 1. expanded-form-calculator
      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` = 80710 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      3.35msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 80710
      • 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
      650μs/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
      280μs/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
      230μs/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
      701ms/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` = 3396 limit 1
      1.14msview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 3396
      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
        D0AZOIxrrl6p0I9vEhKUi56UvfrbYU0QoYFzpHZ1
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/expanded-form-calculator" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /expanded-form-calculator
        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=94a9196c4d54a8d9.1750401064.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IlYzYkdNdU90QWFZVFF1YVkxVzZzeHc9PSIsInZhbHVlIjoiTUhIdldVb2hlN3NZdVhrblJXaTRVMFhaTWRHSmJ0WldMYm1PME9CTDkxMWQ0SlorYnltUFUvdWltZXJVT0dIeFp3NXlYQ01ueEd4TWh0SzcwclYyemVnMkZ6RXNUKzRQT1dYNFd3TlpDMG1menZVcm9nYWdMb2JUSndHZTlrdGkiLCJtYWMiOiI0OTQ4NmU2MjhjODQ0ZDAyZGUzODgwNmNlNWZkOGYyY2NhNGQ4MzBhMzQ5MmI5ZDhjOTU5MTcyYWIyNzM4YTQ1IiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6InY5TEhwY2tHQXM3SzBLTk15WHd4N2c9PSIsInZhbHVlIjoidGVvdERFUm9MTnFzRVVtZVU4ZjExNXRHOVVhUlpHNUM2TUtqRGpLaGVzUTUwU1ZlRFJoWFg3WlREU051YnB4VU1RY20zVkgzQ1NyNnlOY01NRUhNWHFJV0lCMTc0QUdnZVJTYjNDNDVMSlJnVU5pdzFEN3hKaFYwS3NSdGsxWkQiLCJtYWMiOiJiNGU4NDY5NzkwZmI4NjVjOTY2ZTBmZmM4YmYxNTljNzE4M2ExNjk2YjQ2ODM5MDkyYzY4NWM3NmQ0NzJjNTQ3IiwidGFnIjoiIn0%3D_pk_id.64.7c30=94a9196c4d54a8d9.1750401064.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IlYzYkdNdU90QWFZVFF1YVkxVzZzeHc9PSIsInZhbHVlIjoiTUhIdldVb2hlN3NZdVhrblJXaTRVM" ] "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "216.73.216.7" ] "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 => "95293918abcd10a5-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 => "216.73.216.7, 172.69.58.185" ] "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/expanded-form-calculator" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/expanded-form-calculator" "REMOTE_PORT" => "49418" "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" => "172.69.58.185" "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=94a9196c4d54a8d9.1750401064.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IlYzYkdNdU90QWFZVFF1YVkxVzZzeHc9PSIsInZhbHVlIjoiTUhIdldVb2hlN3NZdVhrblJXaTRVMFhaTWRHSmJ0WldMYm1PME9CTDkxMWQ0SlorYnltUFUvdWltZXJVT0dIeFp3NXlYQ01ueEd4TWh0SzcwclYyemVnMkZ6RXNUKzRQT1dYNFd3TlpDMG1menZVcm9nYWdMb2JUSndHZTlrdGkiLCJtYWMiOiI0OTQ4NmU2MjhjODQ0ZDAyZGUzODgwNmNlNWZkOGYyY2NhNGQ4MzBhMzQ5MmI5ZDhjOTU5MTcyYWIyNzM4YTQ1IiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6InY5TEhwY2tHQXM3SzBLTk15WHd4N2c9PSIsInZhbHVlIjoidGVvdERFUm9MTnFzRVVtZVU4ZjExNXRHOVVhUlpHNUM2TUtqRGpLaGVzUTUwU1ZlRFJoWFg3WlREU051YnB4VU1RY20zVkgzQ1NyNnlOY01NRUhNWHFJV0lCMTc0QUdnZVJTYjNDNDVMSlJnVU5pdzFEN3hKaFYwS3NSdGsxWkQiLCJtYWMiOiJiNGU4NDY5NzkwZmI4NjVjOTY2ZTBmZmM4YmYxNTljNzE4M2ExNjk2YjQ2ODM5MDkyYzY4NWM3NmQ0NzJjNTQ3IiwidGFnIjoiIn0%3D_pk_id.64.7c30=94a9196c4d54a8d9.1750401064.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IlYzYkdNdU90QWFZVFF1YVkxVzZzeHc9PSIsInZhbHVlIjoiTUhIdldVb2hlN3NZdVhrblJXaTRVM" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.7" "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" => "95293918abcd10a5-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" => "216.73.216.7, 172.69.58.185" "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" => 1750401084.2804 "REQUEST_TIME" => 1750401084 ]
        request_cookies
        0 of 0
        array:4 [ "_pk_id_64_7c30" => null "_pk_ses_64_7c30" => null "XSRF-TOKEN" => "D0AZOIxrrl6p0I9vEhKUi56UvfrbYU0QoYFzpHZ1" "askhelpdesk_session" => "bLHoFwURcajM4fbgKk1QlH5mPObzbaE1Fm0MHyJv" ]
        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 => "Fri, 20 Jun 2025 06:31:24 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Inl2ZERnTDcyZVExd3lVUjVaTEtRYnc9PSIsInZhbHVlIjoiUVBybE8zMnFaaHZNa3cxeGdhc0dqL1RXNU5KMm1uck5hSWpqS3ZFaFhMYVZaSHZqalYyMlA0ZGhiazZ1dVFGM3Z5ZVRybHlFRnk3c05aSWVLUmZiQVoyR1o1UCtOZmhaY09qSnM3OUFqRm1Qbk5uUG0xOFI2S1F5TUZhcFFqa0UiLCJtYWMiOiI2MjM0ZTE0YjAxMmJlZTMzYjcwNzI4ZjY2Yzk0Y2RiNmQzYzNiN2E5MmE4YmEyNTkzOWNmOWI3NjJlNmJkYWMxIiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 08:31:25 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6Inl2ZERnTDcyZVExd3lVUjVaTEtRYnc9PSIsInZhbHVlIjoiUVBybE8zMnFaaHZNa3cxeGdhc0dqL1RXNU5KMm1uck5hSWpqS3ZFaFhMYVZaSHZqalYyMlA0ZGhiazZ1dVFGM3Z5ZVRyb" 1 => "askhelpdesk_session=eyJpdiI6IjFnS0Npell6b1p3RlhVYzlka3BWc3c9PSIsInZhbHVlIjoiRmQzWFQ1N05xVU0wUXgxQXAyKzJqSlFESTk3Z1JTc0dTcFk0M2tBcHUwRXVnUW9pb1owVGhBN0c4OCs1NEU1R0JoV3gvdEV6ay8zK2tZaHVsbHBnR01mQ1lBVmMydWFhN2lnSnJiK0JFdlhOK29JcDNDU1Y0aDJQNHUzbEZVMk4iLCJtYWMiOiJlYTMxMTUwY2MwODUxNjM1N2IxOTBjN2M4NGViOWQwYTA1NDdmNjJlZDBlNjkzM2ZiYWRjMDg0NmUxMTVlZjgzIiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 08:31:25 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6IjFnS0Npell6b1p3RlhVYzlka3BWc3c9PSIsInZhbHVlIjoiRmQzWFQ1N05xVU0wUXgxQXAyKzJqSlFESTk3Z1JTc0dTcFk0M2tBcHUwRXVnUW9pb1owVGhBN0c4OCs1NEU1" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Inl2ZERnTDcyZVExd3lVUjVaTEtRYnc9PSIsInZhbHVlIjoiUVBybE8zMnFaaHZNa3cxeGdhc0dqL1RXNU5KMm1uck5hSWpqS3ZFaFhMYVZaSHZqalYyMlA0ZGhiazZ1dVFGM3Z5ZVRybHlFRnk3c05aSWVLUmZiQVoyR1o1UCtOZmhaY09qSnM3OUFqRm1Qbk5uUG0xOFI2S1F5TUZhcFFqa0UiLCJtYWMiOiI2MjM0ZTE0YjAxMmJlZTMzYjcwNzI4ZjY2Yzk0Y2RiNmQzYzNiN2E5MmE4YmEyNTkzOWNmOWI3NjJlNmJkYWMxIiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 08:31:25 GMT; path=/XSRF-TOKEN=eyJpdiI6Inl2ZERnTDcyZVExd3lVUjVaTEtRYnc9PSIsInZhbHVlIjoiUVBybE8zMnFaaHZNa3cxeGdhc0dqL1RXNU5KMm1uck5hSWpqS3ZFaFhMYVZaSHZqalYyMlA0ZGhiazZ1dVFGM3Z5ZVRyb" 1 => "askhelpdesk_session=eyJpdiI6IjFnS0Npell6b1p3RlhVYzlka3BWc3c9PSIsInZhbHVlIjoiRmQzWFQ1N05xVU0wUXgxQXAyKzJqSlFESTk3Z1JTc0dTcFk0M2tBcHUwRXVnUW9pb1owVGhBN0c4OCs1NEU1R0JoV3gvdEV6ay8zK2tZaHVsbHBnR01mQ1lBVmMydWFhN2lnSnJiK0JFdlhOK29JcDNDU1Y0aDJQNHUzbEZVMk4iLCJtYWMiOiJlYTMxMTUwY2MwODUxNjM1N2IxOTBjN2M4NGViOWQwYTA1NDdmNjJlZDBlNjkzM2ZiYWRjMDg0NmUxMTVlZjgzIiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 08:31:25 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6IjFnS0Npell6b1p3RlhVYzlka3BWc3c9PSIsInZhbHVlIjoiRmQzWFQ1N05xVU0wUXgxQXAyKzJqSlFESTk3Z1JTc0dTcFk0M2tBcHUwRXVnUW9pb1owVGhBN0c4OCs1NEU1" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "D0AZOIxrrl6p0I9vEhKUi56UvfrbYU0QoYFzpHZ1" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/expanded-form-calculator" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]