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Review how to plot ordered pairs on a coordinate grid and complete the corresponding practice questions.

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Coordinate plane | Basic geometry | Math | 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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Play 1 round of this game as you locate aliens on a coordinate grid!

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Complete 1-2 rounds of over and up sqaures on Connect-Ed.

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Log on to Connect - Ed and play a game of Spend and Save

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Practice renaming fractions into decimal words in this game.

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Mental Math - convert decimal words to a number
Problem Solving - match decimal words with its numerical equivalent

Common Core Connection for 4th Grade

Use decimal notation for fractions with denominators 10 or 100.

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Play Puppy Pull Decimals at Math Playground! Practice decimal words in a fun tug contest.

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Practice adding and subtracting decimals as you attempt to make change!

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Play Making Change at MathPlayground.com! Click and drag money to the counter to make the correct change.

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Watch this catchy video about rounding decimals!

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Rounding Decimals Song | Rounding Decimals Rap Music VIdeo

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Watch this catchy video about addding & subtracting decimals.

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Adding & Subtracting Decimals Song | 4th & 5th Grade

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Watch the Khan Academy video about comparing decimals. Try the practice when you are done.

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Let's compare 0.1 to 0.070. So this 1 right over here, it is in the tenths place. So it literally represents 1 times 1/10, which is obviously the same thing as 1/10. Now, when we look at this number right over here, it has nothing in the tenths place. It has 7 in the hundredths place. So this is the hundredths place right over here. And then it also has nothing in the thousandths place. So this number can be rewritten as 7 times 1/100, or 7/100. And now we could compare these two numbers. And there's two ways you could think about it. You could try to turn 1/10 into hundredths. And the best way to do that, if you want the denominator to be increased by a factor of 10, you need to do the same thing to the numerator. So all I did is I multiplied the numerator and denominator by 10. Ten 100's is the exact same thing as 1/10. And here it becomes very clear, 10/100 is definitely larger than 700. Another way you could think about this is, look, if you were to increment by hundredths here, you would start at 7/100, 8/100, 9/100, and then you would get to 10/100. So then you would get to that number. So this number, multiple ways you could think about it, is definitely larger. So let me write this down. This is definitely larger, greater than. This is greater than that. The greater than symbol opens to the larger value. So here we have 0.093 and here we have 0.01. So let's just think about this a little bit. So this 9-- get a new color here. This 9 is not in the tenths, the hundredths. It's in the thousandths place. It's in the thousands place. And this 3 is in the-- I'm running out of colors again. This 3 is in the ten thousandths place. So the 3 is in the ten thousandths place. So you could literally view this as 9/1,000 plus 3/10,000. And if you just wanted to write it in terms of ten thousandths, you can multiply the 9 and 1,000 by 0. And so it becomes 90/10,000. And if you want to add them together, you could, of course, write this as 93/10,000. Ten thousandths. I always have trouble with that "-ths" at the end. Now, let's think about this number right over here, 0.01. Well, this 1 right over here is in the hundredths place. It's in the hundredths place. So it literally represents 1/100. So how can we compare 1/100 to 93/10,000? So the best way to think about it is, well, what's 1/100 in terms of ten thousandths? Well, let's just multiply both the numerator and the denominator here by 10 twice. Or you could say, let's multiply them both by 100. If you multiply by 10 once, you get to ten thousandths. It's the same thing as 1/100. Multiply by 10 again, you get 100/10,000 is the same thing as 1/100. And we know that, 100 times 100 is 10,000. So here it becomes very clear, 100/10,000, or 1/100, is definitely a larger than 93/10,000. So this quantity right over here is less than this quantity there. Less than symbol, the small end points to the smaller number, larger end to the larger number. In fact, that's true with the less than and greater than. So let's see, this one right over here, 0.6 versus 0.06. So here, I have a 6 in the tenths place. So it literally represents 6/10. And in the second, I have a 6 in the hundredths place. Well, 6/100 is definitely smaller than 6/10. A hundredth is a tenth of a tenth. So this one is pretty straightforward. This is going to be the larger value. 0.6 is greater than 0.06. Now, let's think about 0.3 versus 0.06. So this 3 literally represents 3/10 while this 6 right over here represents 6/100. And if you wanted to compare them directly, you could multiply 3/10 times-- well, both the numerator and the denominator by 10 so you're not changing its value. 10/10 is essentially 1, or it is 1. So this becomes 30/300. 3/10 is the same thing as 30/100. And 30/100 is a lot larger than 6/100. So this is greater than.

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Comparing decimals 2 (video) | Decimals | Khan Academy

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Let's compare 0.1 to 0.070. So this 1 right over here, it is in the tenths place. So it literally represents 1 times 1/10, which is obviously the same thing as 1/10. Now, when we look at this number right over here, it has nothing in the tenths place.

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Play this racing game to practice your skills with adding and subtracting fractions!

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Mental Math - add and subtract fractions
Problem Solving - identify equivalent fractions

Common Core Connection for Grades 3 and 4

Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3.
Compare two fractions with different numerators and different denominators.
Adding and subtracting parts of the same whole.

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Play Speedway Fractions at Math Playground! Add and subtract fractions to power your racecar.

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Subtracting Fractions with Unlike Denominators

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Subtracting Fractions with Unlike Denominators

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Watch the video and do the corresponding practice problems.

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Subtracting fractions with unlike denominators (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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Adding Fractions with Unlike Denominators

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Adding Fractions with Unlike Denominators

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Watch the video and do the corresponding practice problems.

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- [Voiceover] Let's say that we have the fraction 9/10, and I want to add to that the fraction 1/6. What is this, what is this going to equal? So when you first look at this, you say, "Oh, I have different denominators here. It's not obvious how I add these." And you'd be right and the way to actually move forward is to find a common denominator, to convert both of these fractions into fractions that have a common denominator. So how do you think about a common denominator? Well, a common denominator's gonna have to be a common multiple of these two denominators of 10 and six. So what's a common multiple of 10 and six? And it's usually simplest to find the least common multiple, and a good way of doing that is start with the larger denominator here, 10, and say, okay is 10 divisible by six? No. Okay, now, is 20 divisible by six? No. Is 30 divisible by six? Yes. 30 is divisible by six. So I'm just going through the multiples of 10 and saying, "Well what is the smallest multiple of 10 that is divisible by six?" And that's going to be 30. So I could rewrite both of these fractions as something over 30. So nine over 10. How would I write that as something over 30? Well I multiply the denominator, I'm multiplying the denominator by three. So I've just multiplied the denominator by three. So if I don't want to change the value of the fraction, I have to do the same thing to the numerator. I have to multiply that by three as well because now I'm just multiplying the numerator by three and the denominator by three, and that doesn't change the value of the fraction. So nine times three is 27. So once again, 9/10 and 27/30 represent the same number. I've just written it now with a denominator of 30, and that's useful because I can also write 1/6 with a denominator of 30. Let's do that. So 1/6 is what over 30? I encourage you to pause the video and try to think about it. So what did we do go from six to 30? We had to multiply by five. So if we multiply the denominator by five, we have to multiply the numerator by five as well, so one times five, one times five is five. So 9/10 is the same thing as 27/30, and 1/6 is the same thing as 5/30. And now we can add, now we can add and it's fairly straightforward. We have a certain number of 30ths, added to another number of 30ths, so 27/30 + 5/30, well that's going to be 27, that's going to be 27 plus five, plus five, plus 5/30, plus 5/30, which of course going to be equal to 32/30. 32 over 30, and if we want, we could try to reduce this fraction. We have a common factor of 32 and 30, they're both divisible by two. So if we divide the numerator and the denominator by two, numerator divided by two is 16, denominator divided by two is 15. So, this is the same thing as 16/15, and if I wanted to write this as a mixed number, 15 goes into 16 one time with a remainder one. So this is the same thing as 1 1/15. Let's do another example. Let's say that we wanted to add, we wanted to add 1/2 to to 11/12, to 11 over 12. And I encourage you to pause the video and see if you could work this out. Well like we saw before, we wanna find a common denominator. If these had the same denominator, we could just add them immediately, but we wanna find a common denominator because right now they're not the same. Well what we wanna find is a multiple, a common multiple of two and 12, and ideally we'll find the lowest common multiple of two and 12, and just like we did before, let's start with the larger of the two numbers, 12. Now we could just say well 12 times one is 12, so that we could view that as the lowest multiple of 12. And is that divisible by two? Yeah, sure. 12 is divisible by two. So 12 is actually the least common multiple of two and 12, so we could write both of these fractions as something over 12. So 1/2 is what over 12? Well to go from two to 12, you multiply by six, so we'll also multiply the numerator by six. Now we see 1/2, and 6/12, these are the same thing. One is half of two, six is half of 12. And how would we write 11/12 as something over 12? Well it's already written as something over 12, 11/12 already has 12 in the denominator, so we don't have to change that. 11/12, and now we're ready to add. So this is going to be equal to six, this is going to be equal to six plus 11, six plus 11 over 12. Over 12. We have 6/12 plus 11/12, it's gonna be six plus 11 over 12, which is equal to, six plus 11 is 17/12. If we wanted to write it as a mixed number, that is what, 12 goes into 17 one time with a remainder of five, so 1 5/12. Let's do one more of these. This is strangely fun. Alright. Let's say that we wanted to add, We're gonna add 3/4 to, we're gonna add 3/4 to 1/5. To one over five. What is this going to be? And once again, pause the video and see if you could work it out. Well we have different denominators here, and we wanna find, we wanna rewrite these so they have the same denominators, so we have to find a common multiple, ideally the least common multiple. So what's the least common multiple of four and five? Well let's start with the larger number, and let's look at its multiples and keep increasing them until we get one that's divisible by four. So five is not divisible by four. 10 is not divisible by four, or perfectly divisible by four is what we care about. 15 is not perfectly divisible by four. 20 is divisible by four, in fact, that is five times four. That is 20. So what we could do is, we could write both of these fractions as having 20 in the denominator, or 20 as the denominator. So we could write 3/4 is something over 20. So to go from four to 20 in the denominator, we multiplied by five. So we also do that to the numerator. We multiply by three times five to get 15. All I did to go from four to 20, multiplied by five. So I have to do the same thing to the numerator, three times five is 15. 3/4 is the same thing as 15/20, and over here. 1/5. What is that over 20? Well to go from five to 20, you have to multiply by four. So we have to do the same thing to the numerator. I have to multiply this numerator times four to get 4/20. So now I've rewritten this instead of 3/4 plus 1/5, it's now written as 15/20 plus 4/20. And what is that going to be? Well that's going to be 15 plus four is 19/20. 19/20, and we're done.

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Adding fractions with unlike denominators (video) | Khan Academy

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Voiceover] Let's say that we have the fraction 9/10, and I want to add to that the fraction 1/6. What is this, what is this going to equal? So when you first look at this, you say, "Oh, I have different denominators here. It's not obvious how I add these."

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Play Rename that Mixed Number on Connect-Ed

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Converting improper fractions to mixed numbers

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Converting improper fractions to mixed numbers

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Practice converting improper fractions with the various practice problems.

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grade 5  free math games practice common core standards

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Jog your memory about what a remainder is. When you are done, try at least 3 division problems working with remainders.

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Use arrays and practice problems to understand remainders.

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Play a game of hidden treasure on Connect-Ed

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Practice finding multiples of given numbers by playing Divisibility Dash on Connect-Ed.

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Watch the video to review how to show decimal numbers as a shaded portion of a grid. Then try the practice problems!

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Writing decimal numbers shown in grids (video) | Khan Academy

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Play 3 digit-by-2 digit top it on Connect-Ed