Top videos
EVERY is a determiner. Do you know where do we use every?
Let me show you some examples and then take a look at some common mistakes.
EVERY 是一個限定詞。你知道我們在哪裡使用'every'嗎?
讓我給你看一些正確的使用例子,然後看看一些常見的錯誤。
Here are few other videos about confused words.
這裡有一些關於混淆詞的其他視頻。
- lend or borrow https://youtube.com/shorts/p6v....4jP5UrgE?feature=sha
- in vs into https://youtu.be/hffBbX5kkB4
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請訂閱我們的頻道、點讚、分享,鼓勵我們分享更多有用又有趣的知識。
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📍📍Welcome to watch our videos📍📍
歡迎觀看我們所創作的的其他影片
1)Basic Conversation 會話
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP
2) Grammar 語法
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP
3)English Speaking
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP
4)Funny Jokes 笑話
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP
5)Vocabulary 詞彙
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP
6)English Idioms 英語成語
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP
7)Revision Exercise 重温練習
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP
8)Fun Games 趣遊戲味
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP
9) Tongue Twister 繞口令
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP
10)Writing a composition 作文
https://www.youtube.com/playli....st?list=PLPoPxSDq_eP
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors with remainders. This video contains plenty of examples and practice problems. It's useful for beginners and for kids in 4th grade or 3rd grade. My recommendation is to make a list of the multiples of the divisor from 1 to 10 and use it perform the long division problem. The video will explain everything.
Basic Addition:
https://www.youtube.com/watch?v=2WxfQIElJuw
Basic Subtraction:
https://www.youtube.com/watch?v=3fYgZgbOJmM
Addition and Subtraction - Number Lines:
https://www.youtube.com/watch?v=wNhbz1EUPrc
Long Multiplication:
https://www.youtube.com/watch?v=GKetIwxaenA
Lattice Multiplication:
https://www.youtube.com/watch?v=ZDmNdjiYAIw
Area Model Multiplication:
https://www.youtube.com/watch?v=UV0ky5fESI0
____________________________________
Basic Division:
https://www.youtube.com/watch?v=yAJxHO7CLh4
Long Division:
https://www.youtube.com/watch?v=GiiuZ8sfw00
Short Division:
https://www.youtube.com/watch?v=uKsSB8zIR9M
Mental Math Tricks:
https://www.youtube.com/watch?v=nTn9gVqRfKY
Exponentiation and Tetration:
https://www.youtube.com/watch?v=S3s9cWWnZj0
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Student teams act as engineers and brainstorm, design, create and test their ideas for packaging to protect a raw egg shipped in a 9 x 12-in envelope. They follow the steps of the engineering design process and aim for a successful solution with no breakage, low weight, minimal materials and recycled/reused materials. Students come to understand the multi-faceted engineering considerations associated with the packaging of items to preserve, market and safely transport goods.
View the full activity on TeachEngineering:
https://www.teachengineering.o....rg/activities/view/d
TeachEngineering has over 1,500 FREE lessons and activities. Visit https://www.teachengineering.org/ for more
Music: Santo Rico
Students construct paper recombinant plasmids to simulate the methods genetic engineers use to create modified bacteria. They learn what role enzymes, DNA and genes play in the modification of organisms. For the particular model they work on, they isolate a mammal insulin gene and combine it with a bacteria's gene sequence (plasmid DNA) for production of the protein insulin.
View the full activity at TeachEngineering:
https://www.teachengineering.o....rg/activities/view/u
TeachEngineering has over 1,500 FREE lessons and activities. Visit http://www.TeachEngineering.org for more!
Music: How We Like It - Dan Lebowitz
LIVING AND NON-LIVING THINGS | CURIOSITIES FOR KIDS | HAPPY LEARNING 🙉🌼 🤖🦾
Hello, Happy Learners! 🎉🌱 Welcome to a new video from Happy Learning. Today we are going to explore the differences between **living and non-living things**. 🌿✨ Yes, we are going to discover what makes something alive and what characteristics non-living objects have! 🌟😊
Did you know that living things can grow, reproduce, and respond to their environment? 🤔🌍🔍 Join us on this educational adventure and learn fascinating facts about the world around us. It will be a journey full of discoveries and fun! 😄🎉
Don't miss it! Give it a like 👍, subscribe 🔔, and share this video with all your friends. Let's learn and have fun together! 🚀😊
#LivingThings #NonLivingThings #EducationForKids #Curiosities #HappyLearning #LearningIsFun
Discover hundreds of unseen resources! Create your free account at https://my.happylearning.tv/ and learn in the most fun way.
#happylearning
#learning
#happy
Artificial Intelligence was invented long before we all started talking about it. I have been using AI for a long time to help make decisions more efficiently. You can learn more about how I use this “Digital Ray” here: https://www.principles.com/AIBeta-signup
#raydalio #principles #politics #economics #ai
If you use AI for education, you need to watch this video. More than two millennia ago, Plato made a criticism of writing that perfectly applies to the disadvantages of using AI as an educational tool.
Plato understood education better than most: we are relational beings. Our way of learning is deeply linked to the personal and physical relationships we establish when studying. Hence, interaction with other human beings is the key to developing our skills and cementing knowledge in our souls.
What do you think of AI? Let me know in the comments!!!
---- TIMESTAMPS ----
00:00 Intro
02:15 First Problem
03:23 Second Problem
06:21 Third Problem
08:32 Why AI is Not Good for Education
13:30 What Do You Think of AI?
#learning #plato #ancientgreece #greek #greece #ai #allegoryofthecave #writing #inspiration #study #studying
Up until now, you’ve been writing custom code to give AI access to your data. But that might not be needed for much longer.
Anthropic’s newly introduced solution, MCP (Model Context Protocol), is set to change the game for good.
MCP acts as a universal bridge between your data and AI, offering a plug-and-play approach that eliminates the need for custom integrations. Whether it’s your databases, APIs, or documents, MCP standardizes how AI models interact with your specific datasets.
If this innovation gets the adoption it deserves, we’ll soon be able to have AI seamlessly interact with our data—with no custom coding required.
Learn more about MCP and its potential to simplify AI integrations:
👉 Anthropic’s Official MCP Announcement: https://www.anthropic.com/news..../model-context-proto
👉 More on MCP: https://modelcontextprotocol.io/quickstart
#AIIntegration #AnthropicMCP #FutureOfAI #AIExplained #aiwithsupreet #mcp #anthropic #claude
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/precalculus/x9e81
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/e/defined_and_undefined_matrix_operations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/matrix-multiplication-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Missed the previous lesson?
https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/multiplying-a-matrix-by-a-column-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus
Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Precalculus channel:
https://www.youtube.com/channe....l/UCBeHztHRWuVvnlwm2
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us
A note to parents and students: If your student needs extra help, try re-watching the lessons on 3 letter words. Those lessons introduce the vocabulary we use in this lesson.
https://www.youtube.com/watch?v=Kl07_uTJc4Q&list=PLYrkOH2LGbfIK5td0Z3iFvA2_J-GVmIBe
Before you watch this video print these activities
Activity 4A https://www.dropbox.com/s/tn8i....gmr0zhkry6j/sounds%2
Activity 4B https://www.dropbox.com/s/067v....kakhqzzf40z/sounds%2
If you do not have access to a printer, you can read the activities off of your computer, and write the answers on a sheet of paper.
For more reading and writing lessons, you can go to iReady Reading. This link will give your student "video games" that teach them reading and typing skills.
https://login.i-ready.com/
The school should have sent you a username and password when the quarantine started. If you need help logging in, or if you have any other questions, please email me at wmenta@tacoma.k12.wa.us
LINK FOR ALL CONTENT👉 : https://allaboutmathematics25671.wordpress.com/
Activities of GeoGebra 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ68lq
playlist for applet construction 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ4KJ7
Class-8 Complete Syllabus
Complete Solution of All Exercise🎊🎊
Play list of Rational Number👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ7PJW
Play list of Linear Equation in One Variable 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ7YhX
Play list of Understanding Quadrilateral 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ7hG6
Play list of Algebraic Expression and identities 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ6Q3e
Play list of Data Handling 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ4mEj
Play list of Square and square root 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ4PAt
Play list of cube and cube roots 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ7ulV
Play list of comparing quantities 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ7n-A
Play list of Visualizing solid shapes 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ46nA
Play list of Mensuration 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ5b_J
Play list of Exponent and Powers 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ48pl
Play list of Direct and Inverse Proportions 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ6ehC
Play list of Factorization 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ6suX
Play list of Introduction to graphs 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ6m2d
Play list of Playing with numbers 👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ6IWI
Mathematics Activity🎉👇
https://youtube.com/playlist?l....ist=PLorZOR0F3dQ6kyw
#Geogebratutorial #geogebra #constructionbygeogebra #appletbygeogebra #sunitagupta #sunitaguptamaths #colorful #animation #animationbygeogebra #howtomakecolorfulanimationbygeogebra #HowtoconstructcolorfulanimationbyGeoGebra
#ITlabmanual #kerla #itmathslaboratorymanual #manualgeogebra link:https://www.geogebra.org/download #geogebrabasictutorial #geogebrainmobileforonlineteaching #geogebraforteachers #geogebratutorial #onlinetutorial #introductiontogeogebra #geogebraanimationtutorial #geogebraanimation #geogebrainenglish #geogebrainmathteaching #geogebra3danimation #geogebraapp #geogebradrawing #geogebrainmobile #geogebraaaplet #howtocreategeogebraaaplet #easystep #mathemeticslearning #mathteaching #remoteteaching #onlineteaching #geogebraclassic #geogebrageometry #geogebraclass #annimatedmath #howtousegeogebraforgraphing #howtousegeogebra #howtocreatecolourfulgeogrbraaaplet #geogebrainhindi #geogebrakaisebanaye #geogebrasekaisepadhaye #geogebrameclasskaisele #geogebrameanimationkaisebanaye
Hi, in diesem Video erfährst du, wie man Objekte in Geogebra erstellt und diese anschließend bearbeitet :) Dabei erfährst du auch, wie man Objekte fixiert, ein- und ausblendet, was ein Punktfang ist und worin sich der Werkezugkasten von der Algebra-Eingabezeile unterscheidet :)
Learn how to create a cinematic AI car commercial from scratch! In this AI video editing tutorial, I'll show you my complete workflow for designing a concept car, generating consistent AI images, and turning them into a professional car edit using Higgsfield Cinema Studio and After Effects.
This AI filmmaking tutorial covers everything: from ideation with ChatGPT, to AI image generation, to AI video generation, speed ramping, and cinematic editing techniques. Perfect for content creators who want to create car commercials, product videos, or concept designs using AI tools.
🎬 WHAT YOU'LL LEARN IN THIS AI EDITING TUTORIAL:
• AI concept car design workflow from idea to final edit
• ChatGPT prompts for car design ideation
• Higgsfield Cinema Studio tutorial for AI image generation
• How to create consistent AI car images from all angles
• First Frame & Last Frame technique for smooth AI video
• Speed ramping tutorial in After Effects
• Mixed Media overlays for cinematic tech effects
• POV intro with printed sketches + 3D carousel effect
• Sound design tips for car commercials
📥 FREE AI PROMPT SHEET:
https://f.io/iUd-DF-M
🔗 TOOLS I USED:
• Higgsfield AI Cinema Studio: https://higgsfield.ai/cinema-studio
• Adobe After Effects
• ChatGPT for AI ideation
This AI car commercial tutorial proves you don't need a real car or expensive production to create stunning automotive content. Whether you're into AI filmmaking, car edits, or product visualization — this workflow will level up your content.
⏱️ TIMESTAMPS:
0:00 - Final AI Car Edit Result
0:21 - After Effects Project Overview
0:42 - AI Ideation with ChatGPT
1:31 - Higgsfield Cinema Studio Tutorial
1:55 - Creating AI Car Images from All Angles
2:34 - Free Prompt Sheet Walkthrough
2:50 - Why Consistent References Matter
3:39 - AI Sketch Generation
4:00 - First & Last Frame Video Technique
5:25 - Speed Ramping in After Effects
6:09 - AI Car Action Shots
7:07 - Image to Video AI Workflow
7:55 - Music Selection & Beat Editing
8:34 - Tech UI Overlay Tutorial
9:42 - Mixed Media Point Cloud Effect
11:06 - Combining All Techniques
11:29 - POV Intro with 3D Carousel
12:15 - Sketch to Edit Transition
13:02 - Sound Design for Car Edits
13:35 - AI Content Creation Philosophy
14:17 - What's Next?
💬 Comment below: What AI edit should I create next?
#AIVideoEditing #AIFilmmaking #CarCommercial #HiggsFieldTutorial #CinemaStudio #AfterEffectsTutorial #AICarEdit #ConceptCar #ContentCreator #AITools #VideoEditingTutorial #CarEdit #AIImageGeneration #AIVideoGeneration
A growing number of classrooms in China are equipped with artificial-intelligence cameras and brain-wave trackers. While many parents and teachers see them as tools to improve grades, they’ve become some children’s worst nightmare.
Video: Crystal Tai
More from the Wall Street Journal:
Visit WSJ.com: http://www.wsj.com
Visit the WSJ Video Center: https://wsj.com/video
On Facebook: https://www.facebook.com/pg/wsj/videos/
On Twitter: https://twitter.com/WSJ
On Snapchat: https://on.wsj.com/2ratjSM
#WSJ #ArtificialIntelligence #China
Complete training in advanced features in Google Gemini Storybooks for Teachers
Russell's website
https://www.teachertrainingvideos.com/
Join Russell's newsletter
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Russell's Patreon
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Russell's Course in collaboration with NILE ( click for information)
https://www.nile-elt.com/produ....ct?catalog=Technolog
00:00 Advanced Google Gemini Storybooks
01:55 Generate a storybook
03:09 Let's look at the book
03:43 Share your Gemini Storybook
05:12 Complete Advanced Storybooks
11:56 Another useful video
12:39 Study with Russell
Unlock the full potential of Google Gemini Storybooks for advanced language teaching with this comprehensive training video. Go beyond the basics as we guide language educators through a step-by-step masterclass in creating and leveraging custom storybooks to build complete, engaging lesson plans.
In this advanced tutorial, you will first learn how to precisely control every element of your Gemini Storybook generation, including setting the exact language proficiency level (e.g., A1, B2, C1), defining the context and genre, and even specifying the desired visual illustration style. See how to generate the storybook and then share it with students via a simple link, utilize the read-aloud narration feature, and prepare a printable version.
The video then unveils a powerful, game-changing workflow for advanced content creation. Discover the strategy of generating the story text first within the main Google Gemini chat interface. This unique method allows you to then instantly copy the text back into the chat to generate a visually complete storybook. Crucially, by keeping the original text in the main chat, you can seamlessly prompt Gemini to produce a rich array of supplementary, tailored learning materials:
Targeted Comprehension Questions
Forced-Choice Questions
Curated Vocabulary Lists
Gap-Fill Exercises
This technique automates the tedious task of lesson planning, transforming a single custom story into a complete, ready-to-use lesson package. This is the ultimate guide to mastering Gemini Storybooks to create personalized, high-quality, and level-appropriate content for any language classroom. Perfect for language teachers seeking to integrate advanced AI tools into their teaching practice and maximize student engagement and measurable proficiency gains.
This is why Gemini will win the AI battle against ChatGPT 😬😬 Also NEW FREE END OF YEAR RESOURCE!! 🙌 #teachers
A space song to help students identify and learn about the eight planets in our solar system.
The Hoover Jam: https://www.youtube.com/watch?v=zhR9Br0Xfro
Subscribe! ➜ https://www.youtube.com/c/hops....cotchsongs?sub_confi
Subscribe to The Hoover Jam! ➜ https://www.youtube.com/c/theh....ooverjam?sub_confirm
NOTE: We are constantly learning more about our solar system, and some info may have changed since the release of this video. For example, another moon orbiting Neptune has been confirmed, and there are now 14. https://solarsystem.nasa.gov is a helpful resource for the latest information.
Many thanks to our Patreon supporters, including Jennifer L. Rivas!
Visit the Hopscotch Shop! ➜ https://www.hopscotchsongs.com/shop
Solar System Activity Worksheets➜ https://www.hopscotchsongs.com..../printables/solar-sy
Get the karaoke/backing track ➜ https://www.hopscotchsongs.com/shop/the-planet-song-backing-track
Get the sheet music ➜ https://www.hopscotchsongs.com/shop/the-planet-song-lead-sheet
*NEW* play on ukulele! ➜ https://www.hopscotchsongs.com/shop/the-planet-song-ukulele-tabs
Song download ➜ https://www.hopscotchsongs.com/shop/the-planet-song-mp3
Listen on: Spotify ➜ https://open.spotify.com/album..../3fAbHn7PW6FKA0lzZLp
iTunes ➜ https://itunes.apple.com/us/al....bum/the-planet-song-
Apple Music ➜ https://itunes.apple.com/us/al....bum/the-planet-song-?uo=4&app=apple+music
Amazon ➜ http://www.amazon.com/gp/product/B07NZMCK1F
Google Play ➜ https://play.google.com/store/....music/album/Hopscotc
Deezer ➜ https://www.deezer.com/en/album/88458912
Napster ➜ https://us.napster.com/artist/....hopscotch-songs/albu
Song by The Hoover Jam and Hopscotch
Performed by The Hoover Jam
Video animated by Dakota Sheperd: https://www.dakotasheperd.com
Title animation by Brenden Nelson: https://www.brendennelson.com
Follow Hopscotch!
Twitter: https://twitter.com/hopscotchsongs
Facebook: https://www.facebook.com/hopscotchsongs
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https://www.thehooverjam.com
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Lyrics:
We all come from a place
The entire human race
Depends upon our planet
Racing through outer space
And there are eight planets
That orbit around the sun
Come on, we’ll introduce you
And name them one by one:
Chorus
Mercury, Venus, Earth and Mars
Jupiter, Saturn
Uranus, Neptune
Mercury, Venus, Earth and Mars
Jupiter, Saturn
Uranus, Neptune
Mercury:
I’m Mercury, the smallest planet, you see
You humans could never live on me
My atmosphere’s too thin, and I orbit too fast
My days are long
Star:
About 60 earth days as a matter of fact
Venus:
I am Venus, my atmosphere’s super hot
I spin backwards in a way the earth does not
I’m closest to the earth in distance and size
I have no moons, I hope you can sympathize
Earth:
I’m earth, the planet that you’re on, ya know
I’m terrestrial, but covered in H20
I collide with things that I can’t avoid
But my atmosphere protects me from meteoroids
Mars:
I’m Mars and you can jump higher on me,
Because I have a third of earth’s gravity
I hear you plan to visit soon
I’ll be your first destination since the moon
Jupiter:
I’m Jupiter, with my 79 moon crew
Like Io and S/2003…
Moons:
J 2!
Jupiter:
Yea, you could say I have a pretty large girth
Here’s a storm twice the size of yo momma,
Earth
Moons:
Ohhh!
Saturn:
My name’s Saturn, check out my pretty rings
These rings are a few of my favorite things
I’m a giant made of hydrogen and helium
And please, stop hitting me with things
Uranus:
My name’s Uranus, and I’m an ice giant
Neptune:
That’s dope!
Uranus:
I was the first planet found with a telescope
I rotate backwards, and on my side
I smell like rotten eggs,
But that’s just the hydrogen sulfide
Neptune:
I’m Neptune, I’m the windiest planet around
I’ve got supersonic winds
That’s faster than sound
An ice giant with 14* moons
And a dark vortex that may go away soon
Pluto:
I’m Pluto, and I will not be forgotten!
Stage Manager:
Pluto, Pluto, Pluto, Pluto… beautiful, but, um… yea, we’ve been over this, and… you’re considered a dwarf planet these days, sooo…
Pluto:
Gurl, I’m the biggest object in the Kuiper Belt.
Mercury, Venus, Earth and Mars
Jupiter, Saturn
Uranus, Neptune
Jupiter:
Sing along, real strong, for the next tune
Mercury, Venus, Earth and Mars
Jupiter, Saturn
Uranus, Neptune
Pluto:
And, I guess, not Pluto
Copyright © 2019 Hopscotch Songs
*update
#Hopscotch #TheHooverJam #hopscotchsongs #planets #solarsystem #Mercury #venus #earth #planetearth #mars #jupiter #saturn #uranus #neptune #oursolarsystem #space #outerspace #pluto
For Free Practice Go To: http://[a]www.ilearn.com%2Ffractions[/a]
iLearn provides professionally designed math instruction for all markets, including home, K-12, and college. Our instructional programs combine the best scientifically-designed curriculum with state-of-the art delivery systems. Our specialty is providing easy-to-use, highly effective support, for students who have difficulty learning math. It’s the easiest and fastest way to understand math and master math procedures.
This video is one of over 800 similar lessons from iLearn on math topics ranging from kindergarten through high school math.
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If you prefer to read, rather than watch this video, here’s the transcript:
Title: Multiplying Fractions - Fast And Easy Math Learning Videos
When we multiply two fractions, we can show the multiplication using the same array we’ve used before, like this.
Since we’re dealing with fractions of numbers, we need whole units that are bigger than these that we’ve used before. We can zoom in a little like this.
Now we can see each whole unit in more detail.
We start by showing the first fraction in the problem, two-fifths, on this scale.
So, we divide each unit into five equal parts to show fifths.
We show the second fraction on this scale.
So, we divide each unit into four equal parts to show fourths.
Next, two show the first fraction, we count two-fifths here, and show the second fraction by counting three-fourths here.
The product of these fractions is shown by this array.
We’re multiplying fractions, so the first thing we need to know is how many parts are in each whole unit in the answer. A whole unit is shown here
We have five parts per unit times four parts per unit.
When we multiply these two numbers, we see that we have twenty parts in a whole unit.
This means the denominator of the answer is 20.
Next, we need to know how many of these parts we have in the array we created by multiplying the fractions. Two parts are counted on this side, and three parts are counted on this side.
Two times three is six, so when we connect the lines we see that the array has six of these parts in all.
This means the numerator of the answer is 6.
Again, there are twenty parts in each whole unit, so the denominator is 20.
We have six parts in the array, so the numerator is six.
So the product of the two fractions is six-twentieths.
Now notice that the numerator, six, is equal to the product of the two numerators in the fractions we multiplied.
Two times three equals six.
Also notice that the denominator, twenty, is equal to the product of the two denominators in the fractions we multiplied.
Five times four equals twenty.
Here’s another example.
We can show the problem in an array.
We will show two-thirds on this side.
So, we divide the whole units into thirds, and count up two-thirds.
We will show the second fraction, 5/2 on this side.
So, we divide the whole units into halves, and count up five-halves.
The array for our problem looks like this.
So now we have whole units that have three parts times two parts.
So, we have six parts in each whole unit.
This means the denominator in the answer is 6.
To find the numerator of the answer, we count two parts times five parts.
So, there are a total of 10 parts counted in the array.
This means the numerator is 10.
Again, each unit is divided into six parts, so the denominator is six.
We count ten of these parts.
So, the numerator is ten.
Again, notice that the numerator in the answer is the product of the numerators in the fractions we multiplied.
The denominator is the product of the denominators in the fractions we multiplied.
We could solve every multiplication problem with fractions using diagrams like this. But, that would take a long time. In every case, the answer would be the same as we get if we just multiplied the numerators and denominators as we did in these examples.
We saw that when we multiply the denominators, we find how many parts are in each whole unit, which tells us the size of the parts in the array that represents the answer.
When we multiply the numerators, we find how many parts we have in the array.
Now that we know what multiplying fractions means, we can use these facts to solve all multiplication problems with fractions.
Here we have four-fifths times one-half. To multiply these two fractions, first we multiply the numerators.
Four times one equals 4.
Next, we multiply the denominators.
Five times two equals ten.
So the answer is four-tenths.
http://[a]www.ilearn.com%2Ffractions[/a]
https://youtu.be/kB5QEx4SNuI
Grade 1 Math
Quarter 1
Episode 1: Bilang 1 - 50
Teacher: Maria Luisa San Miguel
How do you solve conditional probability examples?
What is the probability of an event A given that event B has occurred?
This is conditional probability, solved by the formula that P(A|B) which reads "probability of A given B" is equal to the P(A intersect B)/P(B).
Three examples are examined.
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Conditional Probability Formula: P(A|B) = P(A and B)/P(B)