does a positive and a negative make a positive

by Leanne Hagenes IV Published 3 years ago Updated 3 years ago

If two positive numbers are multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.

Does a positive plus a negative equal a positive?

What does a negative and a positive make? The signs add together physically. If you have a positive and a negative, there is one dash left over, and the answer is negative.

Why do 2 negatives make a positive?

Rule 3: A negative number times a negative number, equals a positive number. Two negatives make a positive, so a negative number times a negative number makes a positive number. If you look at it on the number line, walking backwards while facing in the negative direction, you move in the positive direction. For example. -2 x -4 are both negative, so we know the answer is going …

What does and positive and a negative make?

is really saying. "Positive 6 plus Negative 3 equals Positive 3". We could write it as (+6) + (−3) = (+3) The last two examples showed us that taking away balloons (subtracting a positive) or adding weights (adding a negative) both make the basket go down. So …

What is a positive minus a negative?

Remember that two plus signs or two minus signs make a positive. One plus and one minus make a negative.

What does a negative and a positive make?

When multiplying (or dividing) two numbers with the same signs, the resulting answer is positive. If one is positive and the other negative, the answer will be negative.

What happens when you add a positive and negative number?

The sum of a positive number and its equal negative number is zero.Mar 5, 2020

Do 2 negatives make a positive?

But when I say "Do not eat!" I am saying the opposite (negative). Now if I say "Do NOT not eat!", I am saying I don't want you to starve, so I am back to saying "Eat!" (positive). So, two negatives make a positive, and if that satisfies you, then you don't need to read any more.

What are the rules when adding and subtracting positive and negative numbers?

Addition: Different Signs, Subtract the Numbers

If you're adding positive and negative numbers together, subtract the smaller number from the larger one and use the sign from the larger number.

Rule 1: A positive number times a positive number equals a positive number

This is the multiplication you have been doing all along, positive numbers times positive numbers equal positive numbers.

Rule 2: A negative number times a positive number equals a negative number

When you multiply a negative number to a positive number, your answer is a negative number. It doesn’t matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number.

Rule 3: A negative number times a negative number, equals a positive number

Two negatives make a positive, so a negative number times a negative number makes a positive number. If you look at it on the number line, walking backwards while facing in the negative direction, you move in the positive direction.

No Sign Means Positive

If a number has no sign it usually means that it is a positive number.

Play with it!

First, try the sliders below and see what happens when numbers go negative:

Balloons and Weights

Let us think about numbers as balloons (positive) and weights (negative):

Adding A Negative Number

Now let's see what adding and subtracting negative numbers looks like:

Now Play With It!

Try playing Casey Runner, you need to know the rules of positive and negative to succeed!

Rule 1: A positive number divided by a positive number equals a positive number

This is the division you have been doing all along. For example: 16 / 4 = 4. We don’t place + in front of the numbers. It’s assumed no sign in front of the number means positive.

Rule 2: A positive number divided by a negative number equals a negative number

When you divide a negative number by a positive number, your answer is a negative number. As with multiplication, it doesn’t matter which order the positive and negative numbers are in, the answer is always a negative number.

Rule 3: a negative number divided by a negative number equals a positive number

Two negatives make a positive, so a negative number divided by a negative number equals a positive number.

1.5 Why is NEGATIVE TIMES NEGATIVE POSITIVE?

When we discover negative numbers we naturally, without question even, assume they obey the same laws of arithmetic as the ordinary positive counting numbers.

MULTIPLYING POSITIVE AND NEGATIVE NUMBERS

In the early curriculum multiplication is introduced in the context of whole counting numbers and is appropriately defined there as repeated addition. For instance, 4 × 5 is read as “four groups of five” and is computed as such: 4 × 5 = 5 + 5 + 5 + 5 = 20.

THINKING OUR WAY THROUGH THINGS

Positive times Negative : It does seem compelling to hold on to the “repeated addition” notion for the product of a negative and a positive:

THE PRECISE LOGICAL ARGUMENT AS TO WHY NEGATIVE TIMES NEGATIVE SHOULD BE POSITIVE

Once we agree that 2 × ( − 3) = − 6 (via repeated addition) and ( − 3) × 2 = − 6 (via a belief in commutativity), that negative times negative is positive is a forced logical consequence of these next two basic beliefs of arithmetic: a × 0 = 0 and a ( b + c) = a b + a c . Here’s why:

Popular Posts:

1. how does a marble wine cooler work

2. is redken at target real

3. tap drill size chart pdf

4. what tissue makes up most of the wood of a tree

5. molar tooth pain when biting down

6. ejercicios de matemáticas difíciles

7. how many miles per gallon does a 1995 chevy silverado get

8. sistema politico de india

9. how tall is 60 feet

10. cheddar cheese

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`

Params

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

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`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

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`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

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`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

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`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

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`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

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`

Params

__env

app

errors

post

postContent

author

updated_at

bing_rich_snippet_text

bing_rich_snippet_link

bing_related_keywords

google_related_keywords

bing_news_title

bing_news_description

bing_videos

bing_images

bing_search_result_title

bing_search_result_description

bing_search_result_url

bing_paa_questions

bing_paa_answers

bing_slider_faq_questions

bing_slider_faq_answers

bing_pop_faq_questions

bing_pop_faq_answers

bing_tab_faq_questions

bing_tab_faq_answers

google_faq_questions

google_faq_answers

google_rich_snippet

google_search_result

indexedArray

total_images

total_videos

settings

url_current

menus

sidebar

__currentLoopData

loop

item

Metadata
Bindings	0. 2025-06-26 21:43:45 1. does-a-positive-and-a-negative-make-a-positive
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

Metadata

Bindings

0. 2025-06-26 21:43:45
1. does-a-positive-and-a-negative-make-a-positive

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

Metadata
Bindings	0. 157217 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

Metadata

Bindings

0. 157217
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

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

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

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

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

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

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

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

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

Metadata
Bindings	0. 15327
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

Metadata

Bindings

0. 15327

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

0 of 0

array:24 [▼"cf-ipcountry" => array:1 [▶ 0 => "US" ] "cf-connecting-ip" => array:1 [▶ 0 => "216.73.216.233" ] "cdn-loop" => array:1 [▶ 0 => "cloudflare; loops=1" ] "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" ] "sec-fetch-dest" => array:1 [▶ 0 => "document" ] "cf-ray" => array:1 [▶ 0 => "955dfe698db83ef3-ORD" ] "accept-encoding" => array:1 [▶ 0 => "gzip, br" ] "priority" => array:1 [▶ 0 => "u=0, i" ] "sec-fetch-user" => array:1 [▶ 0 => "?1" ] "sec-fetch-mode" => array:1 [▶ 0 => "navigate" ] "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 => "216.73.216.233, 172.69.59.33" ] "x-server-addr" => array:1 [▶ 0 => "154.12.239.204" ] "host" => array:1 [▶ 0 => "receivinghelpdesk.com" ]]

0 of 0

array:55 [▼"USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/does-a-positive-and-a-negative-make-a-positive" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/does-a-positive-and-a-negative-make-a-positive" "REMOTE_PORT" => "60508" "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" => "172.69.59.33" "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_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.233" "HTTP_CDN_LOOP" => "cloudflare; loops=1" "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_SEC_FETCH_DEST" => "document" "HTTP_CF_RAY" => "955dfe698db83ef3-ORD" "HTTP_ACCEPT_ENCODING" => "gzip, br" "HTTP_PRIORITY" => "u=0, i" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_CF_VISITOR" => "{"scheme":"https"}" "HTTP_CONNECTION" => "close" "HTTP_X_FORWARDED_PROTO" => "https" "HTTP_X_FORWARDED_FOR" => "216.73.216.233, 172.69.59.33" "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" => 1750954425.9489 "REQUEST_TIME" => 1750954425]

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 => "Thu, 26 Jun 2025 16:13:45 GMT" ] "pragma" => array:1 [▶ 0 => "no-cache" ] "expires" => array:1 [▶ 0 => -1 ] "set-cookie" => array:2 [▶ 0 => "XSRF-TOKEN=eyJpdiI6IlR6Q045VCt2L0xqYUtNY3JDekNYWkE9PSIsInZhbHVlIjoib0NEMjdacERNSG91UlE1UUxOV1ZhbmM2T1A5aUlQMVpQQWFQczY5cVh0NkhoZUtJNWl3T0JWQW5mU0ZRZkdyeDhIaTNPcy92cytSZ3dzZlFQQ1BEa2JKL1FIRElEK0ZqdU5JQjJBcERsQ3FLM2NzSjlYZ2hIS1pib3Jaa05SVTQiLCJtYWMiOiI2YTI0ZWVlZTU4ZWY5ODNiNzI3NWY1ODJjYjg4NjU5YThjMmM0YjE4YzAyZjFhNWFiM2QzZjdkNmNlMGYyYTRhIiwidGFnIjoiIn0%3D; expires=Thu, 26-Jun-2025 18:13:48 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6IlR6Q045VCt2L0xqYUtNY3JDekNYWkE9PSIsInZhbHVlIjoib0NEMjdacERNSG91UlE1UUxOV1ZhbmM2T1A5aUlQMVpQQWFQczY5cVh0NkhoZUtJNWl3T0JWQW5mU0ZRZkdyeDhIaTNPc ▶" 1 => "askhelpdesk_session=eyJpdiI6IlNIbzM4WG5YY08vS0I0dUVleFZROUE9PSIsInZhbHVlIjoiTFZPR1NsSUZjNUNJem5IZXFFWGpKdDVQUlRsR0NmMkZPbGZadUtZN2tLR1paTDdSQkllUmVYU1RpVWM4aFBkbjcwdFRVU2Q2KzdNeGdhdHIxNFVYQU5iNDV1VjhZMFByRnJ4T24vYWdYcFdHRlozNm9ORHd5Q3R5b2tRWDVGeFIiLCJtYWMiOiJiZjU1Y2Q4ZmY5YWMzZWI1YmEzZGNiOGVmMTY0MWU3NDE5NTEwOGExNWI1YWE2NWE4ZmM5MzliYmE4NTdmNDQzIiwidGFnIjoiIn0%3D; expires=Thu, 26-Jun-2025 18:13:48 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀askhelpdesk_session=eyJpdiI6IlNIbzM4WG5YY08vS0I0dUVleFZROUE9PSIsInZhbHVlIjoiTFZPR1NsSUZjNUNJem5IZXFFWGpKdDVQUlRsR0NmMkZPbGZadUtZN2tLR1paTDdSQkllUmVYU1RpVWM4aFBk ▶" ] "Set-Cookie" => array:2 [▶ 0 => "XSRF-TOKEN=eyJpdiI6IlR6Q045VCt2L0xqYUtNY3JDekNYWkE9PSIsInZhbHVlIjoib0NEMjdacERNSG91UlE1UUxOV1ZhbmM2T1A5aUlQMVpQQWFQczY5cVh0NkhoZUtJNWl3T0JWQW5mU0ZRZkdyeDhIaTNPcy92cytSZ3dzZlFQQ1BEa2JKL1FIRElEK0ZqdU5JQjJBcERsQ3FLM2NzSjlYZ2hIS1pib3Jaa05SVTQiLCJtYWMiOiI2YTI0ZWVlZTU4ZWY5ODNiNzI3NWY1ODJjYjg4NjU5YThjMmM0YjE4YzAyZjFhNWFiM2QzZjdkNmNlMGYyYTRhIiwidGFnIjoiIn0%3D; expires=Thu, 26-Jun-2025 18:13:48 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6IlR6Q045VCt2L0xqYUtNY3JDekNYWkE9PSIsInZhbHVlIjoib0NEMjdacERNSG91UlE1UUxOV1ZhbmM2T1A5aUlQMVpQQWFQczY5cVh0NkhoZUtJNWl3T0JWQW5mU0ZRZkdyeDhIaTNPc ▶" 1 => "askhelpdesk_session=eyJpdiI6IlNIbzM4WG5YY08vS0I0dUVleFZROUE9PSIsInZhbHVlIjoiTFZPR1NsSUZjNUNJem5IZXFFWGpKdDVQUlRsR0NmMkZPbGZadUtZN2tLR1paTDdSQkllUmVYU1RpVWM4aFBkbjcwdFRVU2Q2KzdNeGdhdHIxNFVYQU5iNDV1VjhZMFByRnJ4T24vYWdYcFdHRlozNm9ORHd5Q3R5b2tRWDVGeFIiLCJtYWMiOiJiZjU1Y2Q4ZmY5YWMzZWI1YmEzZGNiOGVmMTY0MWU3NDE5NTEwOGExNWI1YWE2NWE4ZmM5MzliYmE4NTdmNDQzIiwidGFnIjoiIn0%3D; expires=Thu, 26-Jun-2025 18:13:48 GMT; path=/; httponly ◀askhelpdesk_session=eyJpdiI6IlNIbzM4WG5YY08vS0I0dUVleFZROUE9PSIsInZhbHVlIjoiTFZPR1NsSUZjNUNJem5IZXFFWGpKdDVQUlRsR0NmMkZPbGZadUtZN2tLR1paTDdSQkllUmVYU1RpVWM4aFBk ▶" ]]

0 of 0

array:4 [▼"_token" => "7NpciHMfe132lc7eOLdOoLIlxDJ9ZDlfOlaE4RXE" "_previous" => array:1 [▶ "url" => "https://receivinghelpdesk.com/ask/does-a-positive-and-a-negative-make-a-positive" ] "_flash" => array:2 [▶ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => []]

1 x Application (99.15%)	2.24s
1 x Booting (0.83%)	18.78ms