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Learn how to use the DMSB method (Divide, Multiply, Subtract, Bring Down) for long division. Follow step-by-step guidance for dividing, multiplying, subtracting, and dealing with remainders. Practice problems provided for better understanding. Stay organized and efficient in solving long division equations.
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Lecture on LONG DIVISION www.assignmentpoint.com
Long Division L.O - To know how to use DMSB to work out long division. R.T- (Remember To) Divide Multiply Subtract Bring Down www.assignmentpoint.com
DMSB What is DMSB? You wonder? This stands for the order of long division Divide Multiply Subtract Bring Down www.assignmentpoint.com
Long Division Take a look at this division problem: 3 )74 Looks scary, huh? Well, when you use DMSB It can be simple. Move to the next slide to get started! This is the dividend. The dividend is the number we break into groups. This is the divisor. The divisor is the number of groups we are dividing into or the number we are dividing by. www.assignmentpoint.com
DIVIDE First, we want to DIVIDE. Ask yourself: “How many times can 3 go into 7?” 3 )74 www.assignmentpoint.com
DIVIDE You want to find the closest number to 7 without going over! In this case it’s 2 times because 3 x 2 is 6 3 times is too high since 3 x 3 = 9 www.assignmentpoint.com
DIVIDE Now, place your 2 above the 7, because 3 goes into 7 two times. 2 3 )74 You’ve just completed the divide. Now, we’ll move onto multiply. The 2 becomes the first part of your quotient. The quotient is the answer in division. www.assignmentpoint.com
MULTIPLY Next, you want to multiply 3 times 2: 2 3 )74 3 x 2= 6 6 We do this because we said that 3 can go into 7 two times, but now we have to find out how close to 7 we can get. So we multiply! www.assignmentpoint.com
MULTIPLY That was a really simple step! Now, we want to move on to subtract! www.assignmentpoint.com
SUBTRACT Now that we know how many times 3 goes into 7, we have to subtract to see the difference between the numbers: 2 3 )74 -6 1 Good! We know 7 – 6 = 1. Leave your 1 in it’s spot, because we’re going to use it for thebring down! www.assignmentpoint.com
BRING DOWN When you bring down, you’re moving the second part of your dividend into your workspace: 2 3 )74 -6 14 www.assignmentpoint.com
BRING DOWN Wow! You’ve just completed every step of DMSB! But, wait! There’s more! 2 3 )74 -614 We now have a new number and we have to start all over again… www.assignmentpoint.com
DIVIDE First, we want to DIVIDE. Ask yourself: “How many times can 3 go into 14?” 2 3 )74 -614 www.assignmentpoint.com
DIVIDE You want to find the closest number to 14 without going over! In this case it’s 4 times because 3 x 4 is 12 5 times is too high since 3 x 5 = 15 www.assignmentpoint.com
DIVIDE Now, place your 4 above the 4, because 3 goes into 14 four times. 24 3 )74 -614 You’ve just completed the divide. Now, we’ll move onto multiply. The 4 becomes the second part of your quotient. You’re almost done! www.assignmentpoint.com
MULTIPLY Next, you want to multiply 3 times 4: 24 3 )74 -6 14 3 x 4 = 12 12 We do this because we said that 3 can go into 14 four times, but now we have to find out how close to 14 we can get. So we multiply! www.assignmentpoint.com
MULTIPLY That was a really simple step! Now, we want to move on to subtract! www.assignmentpoint.com
SUBTRACT Now that we know how many times 3 goes into 14, we have to subtract to see the difference between the numbers: 24 3 )74 -614 -12 2 Good! We know 14-12 = 2. Leave your 2 in it’s spot, because we’re going to use it for thebring down! www.assignmentpoint.com
BRING DOWN When you bring down, you’re moving the next part of your dividend into your workspace: 24 3 )74 ? -6 14 -12 2 ? But wait!! There’s nothing to bring down!! This is OK! You have no more numbers in your dividend to add to your workspace so you’re almost done! If there was a third number in our dividend, then we would start DMSBall over again! You want to keep going until you have nothing to bring down. www.assignmentpoint.com
REMAINDER The remainder is what you have left over (or what is remaining) after you have nothing to bring down: 24 R - 2 3 )74 -6 14 -12 2 In this problem, the remainderis 2 because 14-12 = 2. Write your remaindernext to your answer. www.assignmentpoint.com
Here is what your division problem should look like: 24 R - 2 3 )74 -6 14 -12 2 www.assignmentpoint.com
Let's Review! • DMSB is the order of operations for division. It stands for Divide, Multiply, Subtract, BringDown • The divisor is the number of groups we are dividing into or the number we are dividing by. In 2)81 2 is the divisor. • The dividend is the number we break into groups. In 2)81 81 is the dividend • The quotient is the answer in division. • Remember! You want to keep going until you have nothing to bring down. www.assignmentpoint.com
Do It Yourself! Now, try these problems on your own! Remember DMSB. When you’re finished, move to the next slide to check your answers! www.assignmentpoint.com
Check Yourself! www.assignmentpoint.com
You did a really awesome job with DMSB.Remember! Long division can be easy! And when you need a little help just think of DMSB: Divide Multiply Subtract Bring Down Keep dividing! www.assignmentpoint.com