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Dividing numbers: intro to remainders | Multiplication and division | Arithmetic | Khan Academy
By Khan Academy
Learn how a remainder is what's left over in a division problem.
Dividing numbers: example with remainders | Multiplication and division | Arithmetic | Khan Academy
By Khan Academy
Let's work this division problem together. Our division is getting longer as the numbers get bigger, but that won't be a problem for you! Watch for the remainder.
Algebra 2: Remainder and Factor Theorems
By Educator
This video shows the remainder theorem and how to use synthetic division.
Dividing numbers: long division with remainders
By Khan Academy
Here we go with more long division practice. Ever wonder why we call it "long" division? What's "long" about it anyway?
Introduction to long division | Multiplication and division | Arithmetic | Khan Academy
By Khan Academy
Dividing into larger numbers. Introduction to long division without remainders
10 - The Remainder Theorem of Synthetic Division & Polynomial Long Division - Part 1
By Math and Science
Quality Math And Science Videos that feature step-by-step example problems!
4.NBT.6 - Division with Remainder (1-Digit Divisor)
By MathwithMrAlmeida
explains how to divide up to a 4-digit dividend by a 1-digit divisor to illustrate
Dividing numbers: long division with remainders | Arithmetic | Khan Academy
By Khan Academy
Here we go with more long division practice. Ever wonder why we call it long division? What's long about it, anyway?
Dividing numbers: intro to long division | 4th grade | Khan Academy
By Khan Academy
Division isn't magic. It's perfectly logical. In this example we'll do a long division problem together and find the resulting answer (without a remainder).
Introduction to long division
By Khan Academy
Dividing into larger numbers. Introduction to long division without remainders
Introduction to long division
By Khan Academy
Dividing into larger numbers. Introduction to long division without remainders
Algebra 2: Remainder and Factor Theorems
By Educator
This video shows the remainder theorem and how to use synthetic division.
Introduction to long division
By Khan Academy
Dividing into larger numbers. Introduction to long division without remainders
Ms. Chang 4th Grade- Divide with partial quotients
By Ms Chang
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division
[4.NBT.6-1.0] Four digit division - Common Core Standard
By Freckle education
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division
Evaluating Logarithms | MathHelp.com
By MathHelp.com
In this example, notice that we have a polynomial divided by a binomial, and our binomial is in the form of an x term minus a constant term, or x – c. In this situation, instead of having to use long division, like we did in the previous lesson, we can divide the polynomials using synthetic division, which is a much more efficient method. Here’s how it works. We start by finding the value of c. Since –c = -3, we know that c = 3. Next, we put the value of c inside a box, so we put the 3 inside a box. It’s very important to understand that the number that goes inside the box always uses the opposite sign as the constant term in the binomial. In other words, since the constant term in the binomial is -3, the number that goes inside the box, is positive 3. Next, we write the coefficients of the dividend, which are 2, -7, 4, and 5. Be very careful with your signs. Now, we’re ready to start our synthetic division. First, we bring down the 2. Next, we multiply the 3 in the box times 2 to get 6, and we put the 6 under the -7. Next, we add -7 + 6 to get -1. Next, we multiply the 3 in the box times -1 to get -3, and we put the -3 under the 4. Next, we add 4 + -3 to get 1. Next, we multiply the 3 in the box times 1 to get 3, and we put the 3 under the 5. Finally, we add 5 + 3 to get 8. Now, notice that we have a 2, -1, 1, and 8 in the bottom row of our synthetic division. These values will give us our answer: the first 3 numbers represent the coefficients of the quotient, and the last number is the remainder. And it’s important to understand that our answer will be one degree less than the dividend. In other words, since our dividend starts with x cubed, and we’re dividing by x, our answer will start with x squared. So our answer is 2x squared – 1x + 1 + 8 over x – 3. Notice that we always use descending order of powers in our quotient. In this case x squared, x, and the constant. Finally, remember that we add the remainder over the divisor, just like we did in the previous lesson on long division, and we have our answer. It’s important to understand that we’ll get the same answer whether we use synthetic division or long division. However, synthetic division is much faster.
Math Basics: Division
By GCFLearnFree.org
http://www.gcflearnfree.org/math Do you need help with basic math like subtraction multiplication division fractions times tables and percents? Our basic math tutorials and learning interactives make learning math easier and allow you to practice basic math skills at your own level and pace. Do you need to learn or practice the basic math skills of multiplication and division? How about some help with multiplication tables? The tips and techniques provided in this basic math tutorial make calculating multiplication and division simple easy and fun. What comes after multiplication in math? Division. Division is the opposite of multiplication. Instead of combining groups many times (like you do when you multiply) when you divide numbers you are splitting them into smaller equal groups. But you won't always have equal groups when you are dividing numbers or items -- sometimes you may have items left over. What do you do then? This lesson will help you figure that out by: • explaining the concept of dividing numbers • giving you division practice • helping you divide numbers that have remainders • showing you how to check your division If you are interested in learning more about this topic please visit our site to view the entire tutorial on our website. It includes instructional text informational graphics examples and even interactives for you to practice and apply what you've learned.
