# 3rd Grade - Divide 4-Digit Numbers

 Grade Level: 3rd Skill: Multiplication and Division Topic: Divide 4-Digit Numbers Goal: Solve division problems in which a multi-digit number is evenly divided by a one-digit number (135 - 5=). Skill Description: Number Sense: Division The ability to separate multidigit numbers into equal groups.

## Building Blocks/Prerequisites

### Sample Problems

 (1) Are there any special rules to division? Division is special when dividing by 0 and 1. A number divided by zero is not defined. Any number divided by one is equal to that number. (2) How do you divide a three-digit number by a one-digit number? Place the divisor outside the division bracket and place the three-digit dividend inside the bracket. For example, 192/6; the first number of the dividend (1) is less than 6, so take the first two numbers of the dividend (19) to determine how many times 6 will go into 19. The 6 will go into 19 three times. Place the 3 above the 9 in the dividend. Multiply the 6 times the three and place that answer below the 19 in the dividend. Draw a line underneath it and subtract 18 from 19. 1 is the answer and bring down the 2 to make 12. Determine how many times 6 will go into 12 and place the answer (2) above the two in the dividend. Multiply the 2 x 6 and place the answer below the 12 (12). Subtract 12-12=0. There are no more numbers in the dividend to bring down next to the 0, therefore the answer is an even 32. (3) Is the order of numbers important? When dividing the order of the numbers is important: 40/5 does not equal 5/40. (4) How are division problems written? There are two common ways to indicate division: c divided by b can be written as c/b or c÷b. (5) What are the names for the numbers in a division problem? a=c—b, a is the quotient, c is the dividend, and b is the divisor. Quotient=dividend—divisor or quotient=dividend divisor (6) Define dividend (the number to be divided), divisor (the number that divides the dividend), and quotient (the answer).

### Online Resources

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### Extra Help Problems

 (1) 176/8= (22) (2) 8,185x5= (40,925) (3) 695/1= (695) (4) 1815/3= (605) (some problems written vertically with the division bracket and others written horizontally). (5) Your mother buys a bag of bubble gum for you to share with your friends. When you open it and count the pieces, there are 67 pieces in the bag. One piece, however, has no wrapping on it, so you throw that piece into the trash. Two friends like bubble gum, and you like it too. How many pieces will each person get? Will there be any left over? (66 pieces to divide, 3 friends, 22 pieces each. ) (6) 220÷4 = (55) (7) 450÷5 = (90) (8) 189÷9 = (21) (9) 273÷3 = (91) (10) 126÷7 = (18) (11) 639÷9 = (71) (12) 77÷1 = (77) (13) 95÷1= (95) (14) 144÷2 = (72) (15) 305÷5 = (61) (16) 204÷4 = (51) (17) 176÷8 = (22) (18) 630÷7 = (90) (19) 380÷5 = (76) (20) 72÷6 = (12) (21) 336÷7 = (48) (22) 180÷4 = (45) (23) 212÷4 = (53) (24) 576÷8 = (72) (25) 213÷3 = (71)