Division by One Digit Divisors

Divisionby One DigitDivisors Allegra James and Larry Wershbale Media Design and Production ISTC 665 Adapted by Mr. Hill

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

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

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

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

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: How do you solve a division problem? Father Mother Sister Brother Rover

Father= Find The “Family” Method Mother= Multiply Sister= Subtract Brother= Bring Down Rover = Remainder / repeat

Father • Father 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

2 3 711 Father = find the number closet to the first digit 2 6 • In the 3’s, the number closest to 7, but not more than 7, is 6 • The other factor is 2 • Put a 2 above the 7

2 6 3 711 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 7

2 6 3 711 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 7 – 1 • 7– 6 = 1 • The difference must be smaller than the divisor!!!

2 6 3 711 – 1 Brother = bring down the next number, from the number in the dividend 1 • Bring down the next number in the dividend 1 • The new number you have is 11 • Now start over again with Father for the ten’s

2 1 6 3 711 – 1 – 1 Rover= repeat the process 3 • Father: 9 is the closest multiple, the other factor you found is 3 • Mother: 3 X 3 = 9, put a 9 under the 11 9 • Sister: subtract 9 from 1111- 9 = 2 1 2 • Brother: bring down the 1

3 2 1 6 3 711 – 1 – – 9 1 1 2 Rover= repeat the process 7 • 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 2121- 21 = 0 21 • Brother: nothing’s left, you’re done! 0

– 4 864 Now, let’s practice! 2 2 • Father 6 4 8 8 • Mother 0 6 • Sister • Brother • Rover

2 6 8 4 864 – 0 – 6 Now, let’s do the second step 1 • Father 4 • Mother 4 • Sister 4 2 • Brother • Rover

1 2 6 8 4 864 – 0 – – 4 6 4 2 Now, let’s do the last step 6 • Father • Mother • Sister 24 • Brother • Rover 0

Division by One Digit Divisors