WHOLE NUMBER DIVISION
1-DIGIT AND 2-DIGIT DIVISION AND PROBLEM SOLVING
In basic computations, we divide to find the quotient. Think about having 200 pieces of candy that you want to share equally with your friends. Including yourself and 3 friends, you would divide the 200 pieces of candy into 4 groups.
First, we’ll divide with the divisor being a single digit. Then, we’ll look at zeros used as placeholders in the quotient. We’ll extend our division skills as we divide by a two-digit divisor and look at zeros that occur in some quotients.
We will apply division to word problems. Look for key words and read the problem more than once.
Whole Number Division by One Digit  Example One Estimate the quotient, then solve: 25798 ÷ 7
Estimation: 28,000 ÷ 7 = 4,000 (Round 25,791 to a close number divisible by 7 evenly.) The estimated answer is 4,000.
Check: The estimated answer, 4000, is close to 3685R3. Quotient × Divisor + Remainder = Dividend 3685 × 7 = 25795 + 3 = 25798 |
Whole Number Division by One Digit with Zeros
Estimate the quotient, then solve: 1227 ÷ 4
Estimation: 1200 ÷ 4 = 300 (Round 1227 to a close number divisible by 4 evenly.) The estimated answer is 300. Solution:
Check: The estimated answer, 300, is close to 306R3. 306 × 4 = 1224 + 3 = 1227 |
Whole Number Division by Two Digits
Estimate the quotient, then solve: 3691 ÷39
Estimation: 3600 ÷ 40 = 90 (Round 3691 to a close number divisible by 40 evenly.) The estimated answer is 90.
Solution:  Answer: 3691 ÷ 39 = 94 R25
Check: The estimated answer, 90, is close to 94R25. Quotient × Divisor + Remainder = Dividend 39 × 94 = 3666 + 25 = 3691 |
Whole Number Division by Two Digits with Zeros
Estimate the quotient, then solve: 1859 ÷23
Estimation: 1800 ÷ 20 = 90 (Round 1851 to a close number that divides by 20 evenly.) The estimated answer is 90.
Solution:
Check: The estimated answer, 90, is close to 80 R19. Quotient × Divisor + Remainder = Dividend 80 × 23 =1840 + 19 = 1859 |
Problem Solving - Division
There are 26 members in the PALS Club. The club members raised $500 to attend the local hockey game. The hockey game tickets totaled $325. They decided to share the money that was left after purchasing the tickets equally amongst all the members. How much did each member receive? (Round this answer to the nearest penny.)
This is a two step problem. First figure the money that is left (subtract).
$500 - $325 = $175
To figure the equal shares, you would divide the money left by the number of members.
$175 ÷ 26 = $6.730 which rounds to $6.73 for each member. |
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| Unit 4 Division Worksheet |
| Unit 4 Division Worksheet |
