Chers finalistes, préparez-vous pour le grand jour avec nos contenus !

Des items de toutes les options taillés sur mesure pour que vous prépariez mieux vos épreuves

Start learning
Operations des nombres décimaux par 10 et 1000
Domaine Science Sous domaine Mathématiques
Section Primaire Option Primaire
Discipline Opérations Classe 5ème
Matériel didactique craie de couleur Auteur SCHOOLAP.COM
Objectif opérationnel A l'issue de la leçon , l'élève sera capable de multiplier correctement les nombres décimaux par 10 ; 100; 1000
Réference cfr S.P
Activité initiale

Multipliez rapidement

  1. 23 x 10
  2. 405 x 100
  3. 17 x 1000

Que fait-on pour multiplier un nombre entier par 10 ;100;1000 ?

MOTIVATION

Comment appelle-t-on un nombre qui a une virgule ?

ANNONCE

Nous allons étudier aujourd'hui  la multiplication des nombres décimaux par 10 ; 100 ;1000  

 

Travail des élèves sous la procédé  Lamartinière

  1. 23 x10 = 230
  2. 405 x 100 =45000
  3. 17 x 1000= 17000

Règle : pour multiplier un nombre entier par 10 , 100 ,1000 , on ajoute 0 , 00 , 000  a droite de ce nombre

Le nombre qui a une virgule s'appelle un nombre décimal

Activité principale

ANALYSE

Multipliez

  1. 2,64 x 10
  2. 1,5 x 10
  3. 0,5 x 100
  4. 6,02 x 100
  5. 1,4 x 1000
  6. 2,6735 x 1000

Qu'est ce que nous avons fait ? 

Travail modèle au T.N

  1. 2,64 x 10 =26,4
  2. 1,5 x 10 =15
  3. 0,5 x 100 =50
  4. 6,02x 100= 602
  5. 2,6735x1000 = 2673,5

Nous avons avancer la virgule

Synthèse

SYNTHESE

Que fait-on pour multiplier nombre décimal par 10; 100 et 1000?

Règle: Pour multiplier un nombre décimal par 10; 100 et 1000,on avance la virgule d'un rang , des deux rangs  ou des trois rangs

8.1.28PHP Version273msRequest Duration5MBMemory UsageGET fiches/{id}/{slug}Route
    • Booting (35.6ms)
    • Application (238ms)
    • 1 x Application (86.94%)
      237.63ms
      1 x Booting (13.02%)
      35.60ms
      7 templates were rendered
      • public.fiches.show (resources/views/public/fiches/show.blade.php)2bladefile
        Params
        0
        post
        1
        posts
      • components.banner-page (resources/views/components/banner-page.blade.php)7bladefile
        Params
        0
        property
        1
        firstTitle
        2
        secondTitle
        3
        src
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.ad-card-lesson-long (resources/views/components/ad-card-lesson-long.blade.php)7bladefile
        Params
        0
        summary
        1
        title
        2
        actionLink
        3
        actionText
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.button-link (resources/views/components/button-link.blade.php)6bladefile
        Params
        0
        class
        1
        title
        2
        href
        3
        attributes
        4
        slot
        5
        __laravel_slots
      • layouts.public (resources/views/layouts/public.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        posts
        5
        component
        6
        __currentLoopData
        7
        post_
        8
        loop
        9
        content
      • layouts.include.public.header (resources/views/layouts/include/public/header.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        posts
        5
        component
        6
        __currentLoopData
        7
        post_
        8
        loop
        9
        content
      • layouts.include.public.footer (resources/views/layouts/include/public/footer.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        posts
        5
        component
        6
        __currentLoopData
        7
        post_
        8
        loop
        9
        content
      uri
      GET fiches/{id}/{slug}
      middleware
      web
      controller
      App\Http\Controllers\Public\FicheController@show
      as
      public.fiche.show
      namespace
      prefix
      /fiches
      where
      file
      app/Http/Controllers/Public/FicheController.php:46-73
      14 statements were executed209ms
      • select * from `oldt_posts` where `oldt_posts`.`id` = '6446' limit 1
        1.56ms/app/Repositories/PostRepository.php:39schoolap
        Metadata
        Bindings
        • 0. 6446
        Backtrace
        • 19. /app/Repositories/PostRepository.php:39
        • 20. /app/Http/Controllers/Public/FicheController.php:48
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `lessons` where (`post_id` = 6446) and `lessons`.`deleted_at` is null limit 1
        1.23ms/app/Http/Controllers/Public/FicheController.php:52schoolap
        Metadata
        Bindings
        • 0. 6446
        Backtrace
        • 15. /app/Http/Controllers/Public/FicheController.php:52
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • update `lessons` set `count_view` = `count_view` + 1, `lessons`.`updated_at` = '2025-05-11 10:05:28' where `id` = 6203 and `lessons`.`deleted_at` is null
        4.93ms/app/Http/Controllers/Public/FicheController.php:55schoolap
        Metadata
        Bindings
        • 0. 2025-05-11 10:05:28
        • 1. 6203
        Backtrace
        • 16. /app/Http/Controllers/Public/FicheController.php:55
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `oldt_posts` where `published` = 1 order by RAND() limit 4
        63.37ms/app/Http/Controllers/Public/FicheController.php:61schoolap
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 14. /app/Http/Controllers/Public/FicheController.php:61
        • 15. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `oldt_material_sheets` where `oldt_material_sheets`.`id` = 6060 limit 1
        830μsview::public.fiches.show:7schoolap
        Metadata
        Bindings
        • 0. 6060
        Backtrace
        • 20. view::public.fiches.show:7
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_grades` where `oldt_grades`.`id` = 5 and `oldt_grades`.`id` is not null limit 1
        470μsview::public.fiches.show:15schoolap
        Metadata
        Bindings
        • 0. 5
        Backtrace
        • 20. view::public.fiches.show:15
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_options` where `oldt_options`.`id` = 13 limit 1
        390μsview::public.fiches.show:15schoolap
        Metadata
        Bindings
        • 0. 13
        Backtrace
        • 20. view::public.fiches.show:15
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_disciplines` where `oldt_disciplines`.`id` = 72 limit 1
        370μsview::public.fiches.show:15schoolap
        Metadata
        Bindings
        • 0. 72
        Backtrace
        • 20. view::public.fiches.show:15
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_sub_domains` where `oldt_sub_domains`.`id` = 1 and `oldt_sub_domains`.`id` is not null limit 1
        460μsview::public.fiches.show:120schoolap
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 20. view::public.fiches.show:120
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_domains` where `oldt_domains`.`id` = 1 and `oldt_domains`.`id` is not null limit 1
        360μsview::public.fiches.show:120schoolap
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 20. view::public.fiches.show:120
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_sections` where `oldt_sections`.`id` = 2 limit 1
        310μsview::public.fiches.show:136schoolap
        Metadata
        Bindings
        • 0. 2
        Backtrace
        • 20. view::public.fiches.show:136
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `oldt_material_sheet_contents` where `material_sheet_id` = 6060 and `activity` = 0
        53.21ms/app/Models/Old/MaterialSheet.php:73schoolap
        Metadata
        Bindings
        • 0. 6060
        • 1. 0
        Backtrace
        • 14. /app/Models/Old/MaterialSheet.php:73
        • 15. view::public.fiches.show:191
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `oldt_material_sheet_contents` where `material_sheet_id` = 6060 and `activity` = 1
        35.64ms/app/Models/Old/MaterialSheet.php:73schoolap
        Metadata
        Bindings
        • 0. 6060
        • 1. 1
        Backtrace
        • 14. /app/Models/Old/MaterialSheet.php:73
        • 15. view::public.fiches.show:203
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `oldt_material_sheet_contents` where `material_sheet_id` = 6060 and `activity` = 2
        46.1ms/app/Models/Old/MaterialSheet.php:73schoolap
        Metadata
        Bindings
        • 0. 6060
        • 1. 2
        Backtrace
        • 14. /app/Models/Old/MaterialSheet.php:73
        • 15. view::public.fiches.show:214
        • 17. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 18. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 19. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      App\Models\Old\MaterialSheetContent
      3
      App\Models\Old\Section
      1
      App\Models\Old\Domain
      1
      App\Models\Old\SubDomain
      1
      App\Models\Old\Discipline
      1
      App\Models\Old\Option
      1
      App\Models\Old\Grade
      1
      App\Models\Old\MaterialSheet
      1
      App\Models\Lesson\Lesson
      1
      App\Models\Old\Post
      5
        _token
        bQzm7LOJJcByyL2mS7liEdWHmU6DcQxDQiY2eMD3
        applocale
        en
        _previous
        array:1 [ "url" => "https://s8.schoolap.com/fiches/6446/operations-des-nombres-decimaux-par-10-et-...
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /fiches/6446/operations-des-nombres-decimaux-par-10-et-1000
        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:17 [ "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?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" ] "connection" => array:1 [ 0 => "keep-alive" ] "host" => array:1 [ 0 => "s8.schoolap.com" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
        request_server
        0 of 0
        array:41 [ "USER" => "www-data" "HOME" => "/var/www" "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?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_CONNECTION" => "keep-alive" "HTTP_HOST" => "s8.schoolap.com" "REDIRECT_STATUS" => "200" "SERVER_NAME" => "s8.schoolap.com" "SERVER_PORT" => "443" "SERVER_ADDR" => "188.166.147.66" "REMOTE_PORT" => "11744" "REMOTE_ADDR" => "3.142.240.117" "SERVER_SOFTWARE" => "nginx/1.18.0" "GATEWAY_INTERFACE" => "CGI/1.1" "HTTPS" => "on" "REQUEST_SCHEME" => "https" "SERVER_PROTOCOL" => "HTTP/1.1" "DOCUMENT_ROOT" => "/var/www/s8.schoolap.com/public" "DOCUMENT_URI" => "/index.php" "REQUEST_URI" => "/fiches/6446/operations-des-nombres-decimaux-par-10-et-1000" "SCRIPT_NAME" => "/index.php" "CONTENT_LENGTH" => "" "CONTENT_TYPE" => "" "REQUEST_METHOD" => "GET" "QUERY_STRING" => "" "SCRIPT_FILENAME" => "/var/www/s8.schoolap.com/public/index.php" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/index.php" "REQUEST_TIME_FLOAT" => 1746957928.4314 "REQUEST_TIME" => 1746957928 ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Sun, 11 May 2025 10:05:28 GMT" ] "set-cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6InlTbVJBUDY3SE5mdk5QNXRYc3B5cFE9PSIsInZhbHVlIjoiTEVaZHJQT1d0bVJKcHFLaUVMMjZLdy80YmFIR0RldWJsTHg0cEhBVy85VVVGcDBab20waWtuVGxPMmp6eW5DbiIsIm1hYyI6ImJlMmJjOGIxM2JkMTZmM2Y2MDM4OWEzN2NiYWZmN2QzY2RkZDZjMDAzOWQ4NTkyNmI0MGIwMTUxYjRiMDk3ZmUiLCJ0YWciOiIifQ%3D%3D; expires=Sun, 18 May 2025 08:45:28 GMT; Max-Age=600000; path=/; httponly; samesite=laxlang_schoolap=eyJpdiI6InlTbVJBUDY3SE5mdk5QNXRYc3B5cFE9PSIsInZhbHVlIjoiTEVaZHJQT1d0bVJKcHFLaUVMMjZLdy80YmFIR0RldWJsTHg0cEhBVy85VVVGcDBab20waWtuVGxPMmp6eW5DbiIsIm" 1 => "XSRF-TOKEN=eyJpdiI6IjhNdkQ1NWV4YXdwQlNrMG5UN3NqZUE9PSIsInZhbHVlIjoiKzltZ3kzekV4bnVQOVdPNzJMOVlyM2JML05aMmhXb0JEbGJiMEx2UzM0eDlqaVdycmk0V01mTkg0b3h6bDlrMUR1R01MODJPdERPZk95YzJ0aWlYaE96SW81Tk0zL0VxUzR6TGlMWGZFZmxZNjFUNmxsUTV4VnVQMmc0bERPREsiLCJtYWMiOiIwYzE0ZjE3YTgxNWI5M2E3ZDk2OGUyYTU4MzIxYzczYmQ4OWY2MTFlNTQyNzk1N2YxMDgxY2ZlMDYyMDhlMDFmIiwidGFnIjoiIn0%3D; expires=Sun, 11 May 2025 12:05:28 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IjhNdkQ1NWV4YXdwQlNrMG5UN3NqZUE9PSIsInZhbHVlIjoiKzltZ3kzekV4bnVQOVdPNzJMOVlyM2JML05aMmhXb0JEbGJiMEx2UzM0eDlqaVdycmk0V01mTkg0b3h6bDlrMUR1R01MO" 2 => "schoolap_session=eyJpdiI6ImY5Q0ZheGFRYmxmdGJEaS9QZlNmemc9PSIsInZhbHVlIjoieEJCZFcwQ3hZYkJqVmVKeGZlRWdQNVAzNHY2ckNiblZOd1E2NE95Qm01ZFZyM29ib2N6VDhaeFl1TnFuR0UvZUJjZy9OVCtmazV6bWgyNW1qdkwzWFErajlSY3ZEYldqTmcwenlTVk1QRkJteGN4MURWRTVJRjkrK0hGZmcrQ0UiLCJtYWMiOiJlOGNmOWFjYjU3YzAzYTEyNjI2NDM0MzgwNGU2OWYxZDdjZjQzOTM0MzRhNWExOTFhODU4MTkxMGE0NjJjNTk2IiwidGFnIjoiIn0%3D; expires=Sun, 11 May 2025 12:05:28 GMT; Max-Age=7200; path=/; httponly; samesite=laxschoolap_session=eyJpdiI6ImY5Q0ZheGFRYmxmdGJEaS9QZlNmemc9PSIsInZhbHVlIjoieEJCZFcwQ3hZYkJqVmVKeGZlRWdQNVAzNHY2ckNiblZOd1E2NE95Qm01ZFZyM29ib2N6VDhaeFl1TnFuR0UvZUJ" ] "Set-Cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6InlTbVJBUDY3SE5mdk5QNXRYc3B5cFE9PSIsInZhbHVlIjoiTEVaZHJQT1d0bVJKcHFLaUVMMjZLdy80YmFIR0RldWJsTHg0cEhBVy85VVVGcDBab20waWtuVGxPMmp6eW5DbiIsIm1hYyI6ImJlMmJjOGIxM2JkMTZmM2Y2MDM4OWEzN2NiYWZmN2QzY2RkZDZjMDAzOWQ4NTkyNmI0MGIwMTUxYjRiMDk3ZmUiLCJ0YWciOiIifQ%3D%3D; expires=Sun, 18-May-2025 08:45:28 GMT; path=/; httponlylang_schoolap=eyJpdiI6InlTbVJBUDY3SE5mdk5QNXRYc3B5cFE9PSIsInZhbHVlIjoiTEVaZHJQT1d0bVJKcHFLaUVMMjZLdy80YmFIR0RldWJsTHg0cEhBVy85VVVGcDBab20waWtuVGxPMmp6eW5DbiIsIm" 1 => "XSRF-TOKEN=eyJpdiI6IjhNdkQ1NWV4YXdwQlNrMG5UN3NqZUE9PSIsInZhbHVlIjoiKzltZ3kzekV4bnVQOVdPNzJMOVlyM2JML05aMmhXb0JEbGJiMEx2UzM0eDlqaVdycmk0V01mTkg0b3h6bDlrMUR1R01MODJPdERPZk95YzJ0aWlYaE96SW81Tk0zL0VxUzR6TGlMWGZFZmxZNjFUNmxsUTV4VnVQMmc0bERPREsiLCJtYWMiOiIwYzE0ZjE3YTgxNWI5M2E3ZDk2OGUyYTU4MzIxYzczYmQ4OWY2MTFlNTQyNzk1N2YxMDgxY2ZlMDYyMDhlMDFmIiwidGFnIjoiIn0%3D; expires=Sun, 11-May-2025 12:05:28 GMT; path=/XSRF-TOKEN=eyJpdiI6IjhNdkQ1NWV4YXdwQlNrMG5UN3NqZUE9PSIsInZhbHVlIjoiKzltZ3kzekV4bnVQOVdPNzJMOVlyM2JML05aMmhXb0JEbGJiMEx2UzM0eDlqaVdycmk0V01mTkg0b3h6bDlrMUR1R01MO" 2 => "schoolap_session=eyJpdiI6ImY5Q0ZheGFRYmxmdGJEaS9QZlNmemc9PSIsInZhbHVlIjoieEJCZFcwQ3hZYkJqVmVKeGZlRWdQNVAzNHY2ckNiblZOd1E2NE95Qm01ZFZyM29ib2N6VDhaeFl1TnFuR0UvZUJjZy9OVCtmazV6bWgyNW1qdkwzWFErajlSY3ZEYldqTmcwenlTVk1QRkJteGN4MURWRTVJRjkrK0hGZmcrQ0UiLCJtYWMiOiJlOGNmOWFjYjU3YzAzYTEyNjI2NDM0MzgwNGU2OWYxZDdjZjQzOTM0MzRhNWExOTFhODU4MTkxMGE0NjJjNTk2IiwidGFnIjoiIn0%3D; expires=Sun, 11-May-2025 12:05:28 GMT; path=/; httponlyschoolap_session=eyJpdiI6ImY5Q0ZheGFRYmxmdGJEaS9QZlNmemc9PSIsInZhbHVlIjoieEJCZFcwQ3hZYkJqVmVKeGZlRWdQNVAzNHY2ckNiblZOd1E2NE95Qm01ZFZyM29ib2N6VDhaeFl1TnFuR0UvZUJ" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "bQzm7LOJJcByyL2mS7liEdWHmU6DcQxDQiY2eMD3" "applocale" => "en" "_previous" => array:1 [ "url" => "https://s8.schoolap.com/fiches/6446/operations-des-nombres-decimaux-par-10-et-1000" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]