Division by One Digit Divisors

Dividing these 16 apples into 4 equal groups, gives you 4 groups that have 4 apples in each of the groups:         What are you doing when you divide? When you divide, you are trying to split something into equally numbered groups Take these 16 apples:                             

Division by One-digit Divisors Today you will learn how to divide a three-digit dividend by a one-digit divisor, to get a quotient without a remainder Let’s review these terms

What are the parts of a division problem? The dividend is the number you are dividing The divisor is the number you are dividing by The quotient is the evenly divided result The remainder is what is left over that cannot be evenly divided

When we write the problem like this: 136  5 = 27 r is the dividend 5 is the divisor 27 is the quotient 1 is the remainder

When writing it like this: 136, the dividend, moves here 5, the divisor, moves to here 27, the quotient, stays here 1 is the remainder r 1

How do you solve a division problem? Solving a division problem is a step by step process The method we will learn today is based the words for the people in our families. They are: FatherMotherSisterBrother

The “Family” Method Father =Find Mother =Multiply Sister =Subtract Brother =Bring Down

Father F ather stands for find Start by looking at the first number in the dividend Find the multiple of the divisor that comes closest to that number, without going higher Use your knowledge of math facts, or a multiplication grid

7113 Father = find the number closet to the first digit In the 3’s, the number closest to 7, but not more than 7, is 6 The other factor is 2 6 Put a 2 above the 7 2 2

Mother = multiply the number that is the factor that you found times the divisor You found 2, multiply it times the divisor, 3 2 times 3 equals 6 2 X 3 = 6 Put a 6 under the

Sister = subtract the number you got by multiplying the divisor, from the number in the dividend You got a 6 when you multiplied Subtract 6 from – 6 = 1 – 1 The difference must be smaller than the divisor!!!The difference must be smaller than the divisor!!!

Brother = bring down the next number, from the number in the dividend Bring down the next number in the dividend The new number you have is 11 Now start over again with Father for the ten’s – 1 1 1

Now, let’s do the second step Father : 9 is the closest multiple, the other factor you found is 3 Mother : 3 X 3 = 9, put a 9 under the 11 Sister : subtract 9 from = – Brother : bring down the – 2 1

Now, let’s do the last step Father : 21 is the closest multiple, the other factor is 7 Mother : 7 X 3 = 21, put 21 under the 21 Sister : subtract 21 from = 0 Brother : nothing’s left, you’re done! – – – 0 7

– 6 6 Now, let’s practice! Father Mother Sister Brother

Now, let’s do the second step Father Mother Sister – Brother 1 4 – 2 4 4

Now, let’s do the last step Father Mother Sister Brother – – – 0 6

Finish the rest of the worksheet Homework: probs. 1-10, p. 64 in text Go to this icon on the class’ computers for extra practice if you have free time Look for the same icon on the class’ website for practice at home What do I do with division now?