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https://www.iknowit.com/lessons/e-multiplying-2-digit-by-2-digit-numbers.html

https://www.iknowit.com/lessons/e-multiplying-3-digit-by-3-digit-numbers.html

3 by 2 digit

https://www.iknowit.com/lessons/d-multiplying-3-digit-by-2-digit-numbers.html

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https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-negatives/e/signs-of-expressions

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Multiplication and division worded problems 

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Multiplication and division worded problems 

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Multiplication and division word problems (practice) | Khan Academy

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Multiplying multi-digit numbers: 6,742x23 (video) | Khan Academy

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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Multiplying decimals like 0.847x3.54 (standard algorithm) (practice) | Khan Academy

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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We're asked to multiply 32.12, or 32 and 12 hundredths, times 0.5, or just 5 tenths. Now when you multiply decimals, you multiply them the exact same way you would multiply whole numbers, and then you count the number of spaces behind the decimal you have in your two numbers you're multiplying, and you're going to have that many spaces in your product. Let me show you what I'm talking about. So let's just multiply these two characters. So we have 32.12 times 0.5. And when you write them out, you can just push both of them all the way to the right. You could almost ignore the decimal. Right now, you should write the decimal where they belong, but you can almost pretend that this is 3,212 times 5, and then we'll worry about the decimals in a second. So let's get started. So if we were just multiplying 5 times 3,212, we would say, well, 5 times 2 is 10. Regroup the 1. 5 times 1 is 5, plus 1 is 6. 5 times 2 is 10. Regroup the 1. And then finally, you have 5 times 3 is 15, plus 1 is 16. And then we don't have any other places. If we were just doing this as 05, we wouldn't multiply 0 times this whole thing. We would just get 0 anyway. So just 5 times 3,212 gives us this number. But now we want to care about the decimals. We just have to count the total number of spaces or places we have behind the decimal point in the two numbers we're multiplying. So we have one, two, three spaces, or three numbers, to the right of the decimals in the two numbers that we're multiplying. So we need that many numbers to the right of the decimal in our answer. So we go one, two, three, put the decimal right over there. So 32.12 times 0.5 is 16.060. And this trailing zero right here we can ignore, because it's really not adding any information there. So we could just write this as 16.06. The last thing you want to do is just make sure that this makes sense. You have a number that's almost 32, and we're multiplying it by 0.5. Remember, 0.5 is the same thing as 5 over 10, which is the same thing as 1/2. So we're really multiplying 32.12 times 1/2. We're trying to figure out what one half of 32.12 is. And half of 32 is 16, and half of 0.12 0.06, so this makes complete sense.

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Multiplying decimals example (video) | Khan Academy

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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Strategies for subtracting two and three-digit numbers

Video transcript

hello in this video we're going to think about techniques for subtracting three digit numbers so let's say we wanted to figure out what 357 minus 156 is pause this video and see if you can somehow figure this out and I don't have to be able to because we're going to walk work through it together but doesn't hurt to try a little bit alright now let's do it together and one way to think about it is what if we were to break up the hundred and fifty-six into its different place values so we view it as one hundred and fifty and six so then this could be re-written as 357 minus 100 minus 100 minus 50 minus 50 that's five tens right there and then minus six now does this help us pause this video and see if you can figure out what this would be well many of you probably said alright if I have three hundred and fifty seven and if I were to take away 100 well then I'm going to be left with 257 and then if I take 50 away from that 250 away from 257 well I have five tens here and I'm going to take away five tens so I'm gonna be left with zero tens I'm gonna be left with two hundred and seven and then if I took two hundred seven and I subtracted 6 from that so two hundred seven minus six that of course is going to be equal to two hundred and one I just took away those six ones and I had seven ones on top of the two hundreds before to get us to 201 so this is one very good technique for being able to subtract numbers and it doesn't just apply to three-digit numbers you can do this with many digit numbers but there's other things that you could be doing you could for example try to adjust the numbers to make the subtraction easier for example you could say hey wouldn't it be nice if instead of subtracting a hundred fifty-six I only had to subtract 150 and there is a way that you could do that as long as whatever you add or subtract to one of these numbers you do to the other then the difference will be the same so there is a situation where you subtract 6 from both of these numbers before you try to find the difference let me write this out so let's say you'd wanted to subtract 6 from both what would this be well 357 minus 6 well we're just going to take 6 ones away from the seven ones here so it's going to be 351 minus 156 minus 6 well that just gets us to 150 and this might be for many of y'all a little bit more straightforward to compute you might realize all right if I have three hundreds and I take away one of those hundreds I get two hundreds if I have five tens and if I take away those five tens I'm going to be left with zero tens and if I have one one and if I take away no one's I'm still gonna have one one or you could say look 300 minus 100 is 250 one minus 50 is just one so that was pretty helpful another technique is to instead of going 150 you might say well what if I wanted to subtract 160 well in that situation you could add four to both of these numbers add four to both what would happen then pause this video and try to figure that out well what's 357 plus four 357 plus three guess this to 360 plus another one gets us to 361 and if I add four to 156 that is 160 and since I added 4 to both I added the same amount to both the difference is going to be the same and so if you look through this 300 minus 100 is 200 it's left and then 61 minus 60s us - that gets us to 201 and what I just kind of did in my head if I wanted to write it out we could say this is the same thing as 361 minus 100 minus 100 and I could break it out completely like I did up here or I could break it out partially I could just break out the hundreds place and then break out the 60 so minus 60 I guess you could view that as I broke out the tens and I didn't write the ones but you can see three and sixty one minus a hundred would be 261 and then you take 60 away from that once again you would be left with two hundred and one so the big takeaway here is there's many different ways to approach subtraction with however many digits you have and this just gets you a glimpse of different methods and some will be more convenient in different situations depending on what numbers you are dealing with

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Methods for subtracting 3-digit numbers (video) | Khan Academy

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