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DMSCB What is DMSB? You wonder? This stands for the order of long division Divide Multiply Subtract Compare Bring Down Take a look at this division problem: This is the divisor. The divisor is the number of groups we are dividing into or the number we are dividing by. 3 )75 This is the dividend. The dividend is the number we break into groups. Looks scary, huh? Well, when you use DMSCB It can be simple. Move to the next slide to get started! DIVIDE First, we want to DIVIDE. Ask yourself: “How many times can 3 go into 7?” 3 )75 Think of your multiplication facts: Or, draw an array: 3x1=3 3x2=6 3x3=9 OOO OOO OOO DIVIDE You want to find the closest number to 7 without going over! Think of your multiplicatio In this case it’s 2 times n facts: because 3 x 2 is 6 3x1=3 3 times is too high since 3 x 2 = 6 3x3=9 3x3=9 Or, draw an array: OOO OOO OOO DIVIDE Now, place your 2 above the 7, because 3 goes into 7 two times. 2 3 )75 The 2 becomes the first part of your quotient. The quotient is the answer in division. You’ve just completed the divide. Now, we’ll move onto multiply. MULTIPLY Next, you want to multiply 3 times 2: 3 x 2= 6 2 3 )75 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! MULTIPLY That was a really simple step! Now, we want to move on to subtract! 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 )75 -6 1 Good! We know 7 – 6 = 1. Leave your 1 in it’s spot, because we’re going to use it for the bring down! Compare But before we bring down we have to compare: 2 3 )75 -6 1 Check to make sure the difference you got when you subtracted is less than the divisor. 1 is less than 3, so now we’ll move on to bring down. BRING DOWN When you bring down, you’re moving the second part of your dividend into your workspace: 2 3 )75 -6 15 Wow! You’ve just completed every step of DMSCB! But, wait! There’s more! 2 3 )75 -6 15 We now have a new number and we have to start all over again… DIVIDE First, we want to DIVIDE. Ask yourself: “How many times can 3 go into 15?” 2 3 )75 -6 15 Think of your multiplication facts: 3x1=3 3x2=6 3x3=9 3 x 4 = 12 3 x 5 = 15 Or, draw an array: OO OO OO OO OO O O O O O DIVIDE You want to find the closest number to 15 without going over! In this case it’s 5 times because 3 x 5 is 15 Think of your Or, draw an multiplication array: facts: 3x 3x 3x 3x 3x 1=3 2=6 3=9 4 = 12 5 = 15 OO OO OO OO O O O O DIVIDE Now, place your 5 above the 5, because 3 goes into 15 five times. 25 3 )74 -6 15 The 5 becomes the second part of your quotient. You’re almost done! You’ve just completed the divide. Now, we’ll move onto multiply. MULTIPLY Next, you want to multiply 3 times 5: 25 3 )75 -6 15 3 x 5 = 15 15 We do this because we said that 3 can go into 15 five times. MULTIPLY That was a really simple step! Now, we want to move on to subtract! SUBTRACT Now that we know how many times 3 goes into 15, we have to subtract to see the difference between the numbers: 25 3 )75 -6 15 -15 0 Good! We know 15-15=0. Let’s compare. Compare Now we have to compare: 25 3 )75 -6 15 -15 0 0 is less than the divisor 3. Yeah, let’s move on! BRING DOWN When you bring down, you’re moving the next part of your dividend into your workspace: 25 3 )75 ? -6 15 -15 0? 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 DMSCB all over again! You want to keep going until you have nothing to bring down. Here is what your division problem should look like: 25 3 )75 -6 15 -15 0 • DMSCB is the order of operations for division. It stands for Divide, Multiply, Subtract, Compare, Bring Down • The divisor the number we are dividing by. In 2)81 2 is the divisor. • The dividend is the number we are dividing, or breaking 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. Do It Yourself! Now, try these problems on your own! Remember DMSCB. When you’re finished, move to the next slide to check your answers! 5)60 2)78 7)91 4)48 Check Yourself! 12 5)60 -5 10 -10 0 39 2)78 -6 18 -18 0 13 7)92 -7 21 -21 0 12 4)48 -4 08 -8 0 You did a really awesome job with DMSCB. Remember! Long division can be easy! And when you need a little help just think of DMSCB: Divide Multiply Subtract Compare Bring Down