multiplying whole numbers worksheet

by Marlin Donnelly Published 3 years ago Updated 2 years ago

How do you multiply a whole number?

You can use the Paste Special function to multiply a range of cells by a number as follows:

Input the number 8.7 into a blank cell and copy it.
Select the range that you want to multiply a value, and click Home > Paste > Paste Special. See screenshot below:
In the Paste Special dialog box, click All option in the Paste section, and click Multiply option in the Operation section, and click the OK button. See screenshot above:

How to multiply whole numbers?

| How to Multiply Whole Numbers?

Multiply the multiplicand by the one digit of the multiplier is called the first partial product.
Now, multiply the multiplicand by the tens digit of the multiplier is called the second partial product. ...
Add the partial products to obtain the total product in multiplication.

What is the product of multiplying by a whole number?

Product of Multiple Fractions is a basic arithmetic operation used to find the product of two, three or more whole numbers, positive and or negative fractions. Multiply any number of fractions with like or unlike denominators, positive and negative fractions, or fractions with whole numbers by using this multiple fractions multiplication formula & calculator.

How to multiply two two digit whole numbers together?

2. In writing, how do we multiply whole numbers? Write the multiplier under the multiplicand and draw a line. Multiply the multiplicand by each digit of the multiplier. Place the ones digit of each partial product in the same column as the multiplying digit. Then add the partial products.

How do you do 4th grade multiplication?

7:5210:03Grade 4 Math 3.5, Multiply 2 digits With Regrouping - YouTubeYouTubeStart of suggested clipEnd of suggested clipNow we're going to multiply the 3 times 3 and because we're in the tens place the answer is going toMoreNow we're going to multiply the 3 times 3 and because we're in the tens place the answer is going to go in the tens. Place. And then 3 times 6 is 18. It's going to go next to it here.

How do you multiply multi digit numbers?

0:543:49Example multiplying multi digit numbers - YouTubeYouTubeStart of suggested clipEnd of suggested clipAs two tens. Plus one hundred. Then we say seven times three is twenty-one. And then you'll say oh iMoreAs two tens. Plus one hundred. Then we say seven times three is twenty-one. And then you'll say oh i have to add that other one so i get 22.

How do you do 3 digit multiplication?

1:056:163-Digit by 3-Digit Multiplication | Math with Mr. J - YouTubeYouTubeStart of suggested clipEnd of suggested clipPlace so it has a value of 30.. And i said 200. Because that 2 in 237 has a value of 200. BecauseMorePlace so it has a value of 30.. And i said 200. Because that 2 in 237 has a value of 200. Because it's in the hundreds. Place so let's start and we start by doing 7 times 9 which is 63.

How do you multiply numbers?

1:258:16How to multiply ANY numbers the fast way - Fast Math Trick - YouTubeYouTubeStart of suggested clipEnd of suggested clipAs we go along the first ones we're multiplying is to get out units we have a units here in a unitsMoreAs we go along the first ones we're multiplying is to get out units we have a units here in a units here and we're multiplying. These two numbers and that gives us 8 units answer. So 3 times 3 is 9.

What strategies can be used to multiply whole numbers?

The teachers indicated that they used a variety of strategies including repeated addition, complete-number (Including doubling), partitioning and compensation to teach multiplication of whole numbers.

How do you multiply step by step?

1:134:06Long multiplication in simple steps - YouTubeYouTubeStart of suggested clipEnd of suggested clipYou start with the unit's first. So multiply 1 by 6. You then move on to the tens digits. SoMoreYou start with the unit's first. So multiply 1 by 6. You then move on to the tens digits. So multiply 1 by 2.

What is the fastest way to multiply 3 digit numbers?

2:324:32Math Tricks & Shortcut | 3 Digit Multiplication - YouTubeYouTubeStart of suggested clipEnd of suggested clipStep 4 cross multiplication of last two digits of both numbers and add them that is 6 into 2 equalsMoreStep 4 cross multiplication of last two digits of both numbers and add them that is 6 into 2 equals 12. And 4 into 3 equals to 12 by adding 12 and 12 we get 24 and adding carry forward at 5 we got 29.

Can you multiply 3 numbers at once?

0:002:46Multiply 3 numbers together - YouTubeYouTubeStart of suggested clipEnd of suggested clipAll right multiplying. Three numbers together getting the spread straightforward and relates to theMoreAll right multiplying. Three numbers together getting the spread straightforward and relates to the two by one long multiplication if needs be but you might not only just.

How do you teach a 3 digit by 2 digit multiplication?

0:175:033-Digit by 2-Digit Multiplication | Math with Mr. J - YouTubeYouTubeStart of suggested clipEnd of suggested clipPlace the 3 and 5 are lined up because they are both in the tens. Place and then the 2 is lined upMorePlace the 3 and 5 are lined up because they are both in the tens. Place and then the 2 is lined up with nothing below that because 54 doesn't have a digit in the hundreds. Place.

What is the easiest way to multiply?

Tricks by Numberadd the number to itself (in other words, double it) Example 2×9 = 9+9 = 18.double, then double again. ... Cut in half, then times 10. ... when you multiply 6 by an even number, they both end in the same digit. ... 7×8. ... Double, double, double! ... is 10× the number minus the number. ... put a zero after it.More items...Multiplication Tips and Tricks - Math is Funhttps://www.mathsisfun.com › multiplication-tips-trickshttps://www.mathsisfun.com › multiplication-tips-tricksSearch for: What is the easiest way to multiply?

How do you multiply for beginners?

1:392:53Math Basics: Multiplication - YouTubeYouTubeStart of suggested clipEnd of suggested clipPlace. Any number times 1 equals itself so put a floor below the line in the tens. Place. The answerMorePlace. Any number times 1 equals itself so put a floor below the line in the tens. Place. The answer or product is 48. Those are the basics of multiplication. Until you know the multiplication.Math Basics: Multiplication - YouTubehttps://www.youtube.com › watchhttps://www.youtube.com › watchSearch for: How do you multiply for beginners?

What is the fastest way to calculate multiplication?

0:396:10Multiplication trick for fast calculation - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo you rounded up to the next tens number and then just take 10 percent off and that works okay it'sMoreSo you rounded up to the next tens number and then just take 10 percent off and that works okay it's a really good works at any multiple of nine number anywhere from 18. Right up to 81.Multiplication trick for fast calculation - YouTubehttps://www.youtube.com › watchhttps://www.youtube.com › watchSearch for: What is the fastest way to calculate multiplication?

What is mixed number?

A mixed number is a combo of a whole number and a proper fraction. Prepare 6th grade students to convert the mixed number to an improper fraction, and multiply the numerator with the whole number to find the product. Whether it is problems involving proper, or improper fractions, unit fractions or mixed numbers multiplied by whole numbers, ...

What does the multiplier test?

The multipliers hint how many times a multiplicand is added to itself.

What grade do you do product of fractions?

Loads of practice await 4th grade and 5th grade kids in our finding the product of fractions and whole numbers worksheet pdfs. Instruct children to multiply the numerator of the proper or improper fraction with the whole number.

What is unit fraction?

Unit fractions are those that have '1' as their numerator. Open practice avenues for your 4th grade kid with our printable worksheets on multiplying unit fractions with single and 2-digit whole numbers and watch them simplify fractions. Multiplying Fractions by Whole numbers.

What grade do you need to do advanced multiplication?

Advanced multiplication worksheets are exclusively available for students of grade 3 through grade 6. Their speed and accuracy in multiplying two whole numbers is greatly improved by working on these pdf worksheets. The exercises incorporate practice problems and word problems involving 3-digit, 4-digit and 5-digit multiplicands and single-digit, two-digit, and three-digit multipliers. Now, you can download some of these worksheets for free.

Is long multiplication tough?

Long Multiplication gets tougher! Try solving these problems with large number multiplicands. All the worksheets have only vertical standard problems.

Popular Posts:

1. my little pony movies in order old

2. how long is south padre island bridge

3. how long does salmon take to digest

4. how late can you buy powerball tickets

5. aprender a usar el teclado

6. secret messaging apps for cheaters

7. what is the first thing you should do before putting your vehicle into gear and driving

8. what is an example of dispositional attribution

9. finding a person's phone number

10. youtube peliculas cristianas mas recientes

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. 2025-06-09 12:53:07 1. multiplying-whole-numbers-worksheet
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. 2025-06-09 12:53:07
1. multiplying-whole-numbers-worksheet

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. 18287 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. 18287
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. 7142
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. 7142

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 => "216.73.216.135" ] "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 => "94cee1b93eb61048-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 => "216.73.216.135, 172.69.59.118" ] "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/multiplying-whole-numbers-worksheet" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/multiplying-whole-numbers-worksheet" "REMOTE_PORT" => "51982" "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" => "172.69.59.118" "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" => "216.73.216.135" "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" => "94cee1b93eb61048-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" => "216.73.216.135, 172.69.59.118" "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" => 1749453787.0918 "REQUEST_TIME" => 1749453787]

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 => "Mon, 09 Jun 2025 07:23:07 GMT" ] "pragma" => array:1 [▶ 0 => "no-cache" ] "expires" => array:1 [▶ 0 => -1 ] "set-cookie" => array:2 [▶ 0 => "XSRF-TOKEN=eyJpdiI6Ikh3bEtLVCthd2d6RVlCcENHajllQlE9PSIsInZhbHVlIjoiN0E3Y09SMCtGMnphMmFPWHp0UWorSzg3SjZmT29KaWE3YjZlbXdTbFV6SmczVFBuK0VLdi9XbXR3REthajViM1FJaU9wb1F1c2lPRyttMXZ2dzR0UXFnZlVRekx2bEpLNklEbzAyUkxlNGJMWW9uMUFoQnFOdk13blRwRGRSY0kiLCJtYWMiOiJmZWJjZDJhMTE4NzYzNjU0MWQyYTQ0YjFkMTJmNDIxNmNlZjE4NjJiYzVlZGM1M2ZiNDI5NDgwNDNhNmYwMWI4IiwidGFnIjoiIn0%3D; expires=Mon, 09-Jun-2025 09:23:07 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6Ikh3bEtLVCthd2d6RVlCcENHajllQlE9PSIsInZhbHVlIjoiN0E3Y09SMCtGMnphMmFPWHp0UWorSzg3SjZmT29KaWE3YjZlbXdTbFV6SmczVFBuK0VLdi9XbXR3REthajViM1FJaU9wb ▶" 1 => "askhelpdesk_session=eyJpdiI6IjgzT3lWZkZrOE41ZE5OVDRjN0dLQVE9PSIsInZhbHVlIjoiMkF5QktCWUMyd1VWS2szb040WXpQOTZYSVk3RnNOa1p4TTBCaU9UbXlDTmRaVWVuTXIvUi9wVlkxTEk4ZllhUG0zQ2JtY0E3RlpQc20raStOaFM5VVVXSmpyNjFmK2xXNHhhMDVSY0t0cmdZVFJja2VZemNBSVRRNk9UOE5PWkciLCJtYWMiOiJiZWVmMjA4ZDQ4MTlmYjRmNzQ5YjM2ZGM4NmIzYzc3YmM2YTY1MGE0NTU2ZWI1YjgzZmNjMGQ0MmQ3ZjkxNDQ2IiwidGFnIjoiIn0%3D; expires=Mon, 09-Jun-2025 09:23:07 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀askhelpdesk_session=eyJpdiI6IjgzT3lWZkZrOE41ZE5OVDRjN0dLQVE9PSIsInZhbHVlIjoiMkF5QktCWUMyd1VWS2szb040WXpQOTZYSVk3RnNOa1p4TTBCaU9UbXlDTmRaVWVuTXIvUi9wVlkxTEk4Zllh ▶" ] "Set-Cookie" => array:2 [▶ 0 => "XSRF-TOKEN=eyJpdiI6Ikh3bEtLVCthd2d6RVlCcENHajllQlE9PSIsInZhbHVlIjoiN0E3Y09SMCtGMnphMmFPWHp0UWorSzg3SjZmT29KaWE3YjZlbXdTbFV6SmczVFBuK0VLdi9XbXR3REthajViM1FJaU9wb1F1c2lPRyttMXZ2dzR0UXFnZlVRekx2bEpLNklEbzAyUkxlNGJMWW9uMUFoQnFOdk13blRwRGRSY0kiLCJtYWMiOiJmZWJjZDJhMTE4NzYzNjU0MWQyYTQ0YjFkMTJmNDIxNmNlZjE4NjJiYzVlZGM1M2ZiNDI5NDgwNDNhNmYwMWI4IiwidGFnIjoiIn0%3D; expires=Mon, 09-Jun-2025 09:23:07 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6Ikh3bEtLVCthd2d6RVlCcENHajllQlE9PSIsInZhbHVlIjoiN0E3Y09SMCtGMnphMmFPWHp0UWorSzg3SjZmT29KaWE3YjZlbXdTbFV6SmczVFBuK0VLdi9XbXR3REthajViM1FJaU9wb ▶" 1 => "askhelpdesk_session=eyJpdiI6IjgzT3lWZkZrOE41ZE5OVDRjN0dLQVE9PSIsInZhbHVlIjoiMkF5QktCWUMyd1VWS2szb040WXpQOTZYSVk3RnNOa1p4TTBCaU9UbXlDTmRaVWVuTXIvUi9wVlkxTEk4ZllhUG0zQ2JtY0E3RlpQc20raStOaFM5VVVXSmpyNjFmK2xXNHhhMDVSY0t0cmdZVFJja2VZemNBSVRRNk9UOE5PWkciLCJtYWMiOiJiZWVmMjA4ZDQ4MTlmYjRmNzQ5YjM2ZGM4NmIzYzc3YmM2YTY1MGE0NTU2ZWI1YjgzZmNjMGQ0MmQ3ZjkxNDQ2IiwidGFnIjoiIn0%3D; expires=Mon, 09-Jun-2025 09:23:07 GMT; path=/; httponly ◀askhelpdesk_session=eyJpdiI6IjgzT3lWZkZrOE41ZE5OVDRjN0dLQVE9PSIsInZhbHVlIjoiMkF5QktCWUMyd1VWS2szb040WXpQOTZYSVk3RnNOa1p4TTBCaU9UbXlDTmRaVWVuTXIvUi9wVlkxTEk4Zllh ▶" ]]

0 of 0

array:4 [▼"_token" => "McWts5CvZiDYgugIxFsnSoth4dNJMiZCsfODHfsG" "_previous" => array:1 [▶ "url" => "https://receivinghelpdesk.com/ask/multiplying-whole-numbers-worksheet" ] "_flash" => array:2 [▶ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => []]

1 x Application (98.3%)	854.45ms
1 x Booting (1.64%)	14.24ms